One ounce of solution X contains only ingredients a and b in a ratio of 2:3. One ounce of solution Y contains only ingredients a and b in a ratio of 1:2. If solution Z is created by mixing solutions X and Y in a ratio of 3:11, then 2520 ounces of solution Z contains how many ounces of a?

Answers

Answer 1

Applying proportion, 2520 ounces of solution Z will contain 44040 ounces of ingredient a.

How to Use Proportion to Calculate The Ounces Needed of a Solution?

To determine the number of ounces of ingredient a in 2520 ounces of solution Z, we need to first calculate the proportion of ingredient a in solutions X and Y, and then use that information to determine the proportion of ingredient a in solution Z.

Solution X contains 2 ounces of ingredient a and 3 ounces of ingredient b in one ounce of solution, so the proportion of ingredient a is 2/(2+3) = 2/5.

Solution Y contains 1 ounce of ingredient a and 2 ounces of ingredient b in one ounce of solution, so the proportion of ingredient a is 1/(1+2) = 1/3.

Solution Z is created by mixing solutions X and Y in a ratio of 3:11, so 3 ounces of solution X are mixed with 11 ounces of solution Y.

Thus, the proportion of ingredient a in solution Z = (32/5) + (111/3) = 6/5 + 11/3.

To find out the number of ounces of ingredient a in 2520 ounces of solution Z, we need to multiply the proportion of ingredient a with the number of ounces of solution Z

2520 * (6/5 + 11/3) = 2520 * (6/5 + 11/3) = 2520 * (252/15 + 11/3) = 2520 * (16+11/3) = 2520 * (16+11/3) = 2520 * (16+11/3) = 2520 * (16+37/3) = 2520 * (16+37/3) = 2520 * (53/3) = 252053/3 = 252017.66666 = 44040 ounces of ingredient a.

Learn more about proportion on:

https://brainly.com/question/870035

#SPJ1


Related Questions

a researcher reported that for 100 college students, the mean was 80 and the standard deviation was 12.6. how is the standard deviation best interpreted?

Answers

It can be interpreted as the average distance between each data point and the mean value of 80 for the 100 college students.

Standard deviation is a measure of the spread of values in a set of data, calculated as the square root of its variance. It indicates how much variation or dispersion there is from the mean of the set.

The standard deviation is a measure of the variability or dispersion of the data set around the mean. In this case, it can be interpreted as the average distance between each data point and the mean value of 80 for the 100 college students.

To learn more about average here:

https://brainly.com/question/26519579

#SPJ4

Write 0.000001365 in scientific notation.

Answers

Answer: 1.365 × 10-6

Step-by-step explanation:

All the numbers in scientific notation written in the form a × 10b, where b is an integer and the coefficient a is a non-zero real number between 1 and 10 in absolute value.

To convert 0.000001361 into scientific notation also known as standard form, follow these steps:

Move the decimal 6 times to right in the number so that the resulting number, m = 1.361, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -6

Write in the scientific notation form, m × 10n

= 1.361 × 10-6

Therefore, 0.000001361 in scientific notation is 1.361 × 10-6 and It has 4 significant figures. In scientific e-notation it is written as 1.361e-6.

Which functions show a positive rate of change? Select all that apply

Answers

The functions that show a positive rate of change include the following:

A. y = 2x/3 - 2.

B. y = 7 - (-3x).

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be represented or modeled by using this linear equation:

y = mx + c

Where:

m represents the slope or rate of change.c represents the y-intercept.x and y are the data points.

Generally speaking, a function with a positive rate of change represents an increasing function because its numerical value is increasing over time such as in the following increasing function:

y = 2x/3 - 2.

Slope, m = 2/3 (positive slope).

y = 7 - (-3x)

y = 7 + 3x

Slope, m = 3 (positive slope).

Read more on rate of change here: brainly.com/question/4184462

#SPJ1

The functions that show a positive rate of change are y = 2/3x - 2 and y = 7 - (-3x).

What is a positive function?

A positive function is a function that has the values of x that are greater or higher than zero on the graph. It means that they are always increasing on the positive y-axis i.e. f(x) > 0.

The function's outputs known as the y-values, however, must be larger than zero even though the domain values i.e. (x-values) might be negative. A positive function, then, has values that are positive for all of its domain's parameters.

To determine the positivity of the function on the graph, the slope must also be positive. Using the linear function form y = mx + b.

where;

m = slopeb = y-intercept

From the given information, the functions that demonstrated a positive slope are:

y = 2/3x - 2 andy = 7 - (-3x)

Therefore, we can conclude that the functions that show a positive rate of change are y = 2/3x - 2 and y = 7 - (-3x).

Learn more about how to determine the positive rate of change of a function here:

https://brainly.com/question/18460716

#SPJ1

Write a quadratic given a vertex (11,2) and a point (9,3)

Answers

The equation of a quadratic equation with a vertex and a point is

y = 1/4 (x - 11)² + 2

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 6 is an equation.

We have,

Vertex = (11, 2)

Point = (9, 3)

The equation of a quadratic equation with a vertex and a point is

y = a (x - h)² + k

Where (h, k) is the vertex and (x, y) is the point.

Now,

(11, 2) = (h, k)

(9, 3) = (x, y)

Substitute.

y = a (x - h)² + k

3 = a (9 - 11)² + 2

3 = a x 4 + 2

3 = 4a + 2

3 - 2 = 4a

a = 1/4

Now,

The equation of a quadratic equation is y = 1/4 (x - 11)² + 2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

A department store receives a shipment of
3 boxes of glass ornaments. There are
25 ornaments in each box. Lucas opens the
boxes and finds that 6 of the ornaments are
broken. Based on this shipment, what
prediction can Lucas make about the next
shipment of ornaments?
F A delivery of 4 boxes will contain 4 more
broken ornaments than a delivery of
3 boxes.
G A delivery of 5 boxes will contain 6 more
broken ornaments than a delivery of
3 boxes.
H A delivery of 6 boxes will contain 6 more
broken ornaments than a delivery of
3 boxes.
JA delivery of 7 boxes will contain 10 more
broken ornaments than a delivery of
3 boxes.

Answers

The prediction that Lucas can make about the next shipment of ornaments is that H. A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.

How to calculate the word problem?

It should be noted that a word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, since the department store receives a shipment of 3 boxes of glass ornaments and there are 25 ornaments in each box.

Lucas then opens the boxes and finds that 6 of the ornaments are broken. This implies that there are 2 broken for each box.

In this case, a delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.

Learn more about word problem on

brainly.com/question/21405634

#SPJ1

Wendy solved an equation and found x to be 5. Which equation could she have solved?
O 2x + 4 = 12
O13-4x = 20
O 3x-10= 5x + 20
O 14+2x = 54 - 6x

Answers

The equation Wendy must have solve is  14+2x = 54 - 6x Option D

What is a linear equation?

A linear equation is an equation whose highest power of the variable is 1.

recall that equation is a mathematical statement showing that two opposite sides are equal

the equation can be solved as follows

14+2x = 54 - 6x

Collecting the like terms from the equation we have

2x+6x = 54 -14

This implies that

8x = 40

Making x the subject of the relation

Therefore x=40/8 = 5

Study more about linear equation on https://brainly.com/question/11897796

#SPJ1

Can’t figure this out need help

Answers

Answer: Hi! I believe your answer would be y = −5/7x − 5

Step-by-step explanation: I hope this helps!

Gary used to make bottles of glitter glue.


Bottles Glue Glitter
1 3.8 1.9
4


How much glue and glitter would he need to make 4 bottles?
Gary would need 15.2 oz glue and 3.8 oz of glitter to make 4 bottles.
Gary would need 6.8 oz glue and 4.9 oz of glitter to make 4 bottles.
Gary would need 7.8 oz glue and 5.9 oz of glitter to make 4 bottles.
Gary would need 15.2 oz glue and 7.6 oz of glitter to make 4 bottles.

Answers

Gary would need 15.2 oz glue and 7.6 oz of glitter to make 4 bottles.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

We have the information that,

Amount of glue needed for 1 bottle = 3.8 oz

Amount of glitter needed for 1 bottle = 1.9 oz

We have to find the amount of glue and glitter for 4 bottles.

Finding the product for 4 bottles.

Amount of glue needed for 4 bottles = 3.8 × 4 oz = 15.2 oz

Amount of glitter needed for 4 bottles = 1.9 × 4 oz = 7.6 oz

Hence Gary will need 15.2 oz glue and 7.6 oz of glitter to make 4 bottles.

Learn more about Multiplication here :

https://brainly.com/question/5992872

#SPJ1

since 2005 the amount of money spent on restaurants in a certain country has increased at a rate of 4% each year in 2005 about 670 billion was spent on restaurants if the trend continues about how much money will be spent on restaurants in 2013 

Answers

Answer: Since 2005 the amount of money spent on restaurants in a certain country has increased at a rate of 4% each year. In 2005, about 670 billion was spent on restaurants.

To find the amount spent on restaurants in 2013, we can use the formula:

A = P(1 + r)^t

Where:

A = the final amount

P = the initial amount (670 billion)

r = the rate of increase (0.04 or 4%)

t = the number of years since the initial amount (8 years)

Plugging in the values, we get:

A = 670 billion (1 + 0.04)^8

A = 670 billion (1.04)^8

A = 670 billion * 1.4304

A = 951.8 billion

So, if the trend continues, about 951.8 billion will be spent on restaurants in 2013.

Step-by-step explanation:

Please help ASAP!!!!!!!!!

Answers

The correct linear model for the table is f(x) = 5x + 1.

What is the model for the table?

We have to note that when we have a table of values, it is possible that we can be able to obtain the equation that can be able to model the function. We know that we can be able to write the line equation in the form y = mx + c

Where y = g(x) we can write the equation to obtain the slope of the line as;

m = y2 - y1/x2 - x1

Then we have;

1 - (-4)/0 - (-1)

5/1

m = 5

The correct equation of the line is therefore;

f(x) = 5x + 1

Learn more about line equation:https://brainly.com/question/21511618

#SPJ1

An initial population of 430 quail increases at an annual rate of 9%. Write an exponential function to model the
quail population.

Answers

Answer:

An exponential function has the form y = ab^x, where a is the initial value, b is the base of the exponential function (in this case, 1 + the growth rate as a decimal) and x is the number of years.

Given that the initial population is 430 and the annual rate of increase is 9%, we can write the exponential function as:

y = 430 (1 + 0.09)^x

Where y is the quail population after x years, and the base (1 + 0.09) represents the growth rate of 9%. This function gives the population of the quail for any number of years x.

It's worth noting that the function is in the form of y = a*(1+r)^x where a is the initial value, r is the annual growth rate, and x is the number of years

Determine if the conditions stated would result in a unique quadrilateral.
Select Yes or No for each statement.

Answers

Four sides and one angle, three sides and two included angles, or two neighboring sides and three angles, to construct a unique quadrilateral.

What is meant by unique quadrilateral?

If the two diagonals and three sides of a quadrilateral are known, it is possible to create it in a singular way. If the two neighboring sides and three angles of a quadrilateral are known, it can be built in an original fashion.

A polygon called a quadrilateral has four sides, four angles, and four vertices. If the size of a quadrilateral's sides and diagonal are known, it is possible to create it in a singular way.

They must have the same number of sides as angles because they are polygons and have four angles. Every quadrilateral has inner angles that sum to 360 degrees.

To learn more about unique quadrilateral refer to:

https://brainly.com/question/29615485

#SPJ1

Hace 8 años, Maria tenía 10 años y Luis 11 años. Dentro de 7 años, Nico tendrá 27 años ¿cuanto es la suma de las edades actuales de Maria Luis y Nico?

Answers

Their ages are given below:

Maria 18, Luis 19 Nico 20

The sum of their ages would be 57 years.

How to find their ages?

The current age of Nico is 27 - 7 = 20 years.

Therefore, Maria and Luis's current ages would be 8 years older than when they were 10 and 11 respectively,

so Maria is currently 18 years old and Luis is currently 19 years old.

Therefore, the sum of their current ages is 18 + 19 + 20 = 57 years.

Read more about word problems here:

https://brainly.com/question/13818690

#SPJ1

8 years ago, Maria was 10 years old and Luis was 11 years old. In 7 years Nico will be 27 years old, what is the sum of the current ages of Maria, Luis and Nico?

Find the percent of change when 51 is increased to 98. If necessary, round your answer to the nearest tenth.

a

48% decrease

b

48% increase

оооо

Ос

92. 296 decrease

Od

92. 29 increase

Answers

The percent of change when 51 is increased to 98, then there have increment of 92%. So the option d is correct.

The difference between a new and old amount, given as a percentage, is known as a percent change.

Calculating percent change involves determining the difference between the old and new quantities, dividing that difference by the old quantity, and multiplying that result by 100.

The number 51 is raised to 98; calculate the percentage change.

To start, subtract the new quantity from the previous one to determine the difference. 98 - 51 = 47, therefore the difference is 47.

The difference, 47, is then divided by the old amount, 51, yielding a result of 47/51=0.92.

Lastly, multiply the decimal by 100 × 0.92 to get the percentage change, which is increment of 92%.

To learn more about percent of change link is here

brainly.com/question/29835344

#SPJ4

Jamila ha p pencil. Haan ha 3 fewer pencil than Jamila. Naomi ha 4 time a many pencil a Haan. Write an expreion, in term of p, for the total number of pencil that the three children have. Write your expreion in it implet form.

Answers

The total number of pencils that the three children have is represented by the expression p + 3 + 4p. This expression can be simplified to p + 3 + 4p.

The total number of pencils that the three children have is represented by the expression p + 3 + 4p. This expression can be simplified to p + 3 + 4p.

Jamila has p pencils. Haan has 3 fewer pencils than Jamila, so Haan has (p - 3) pencils. Naomi has 4 times as many pencils as Haan, so Naomi has (4(p - 3)) pencils.

Therefore, the total number of pencils the three children have is p + (p - 3) + (4(p - 3)). This can be simplified to p + 3 + 4p.

The total number of pencils that the three children have is represented by the expression p + 3 + 4p. This expression can be simplified to p + 3 + 4p.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

I need help with my math homework

Answers

Answer:

6 = D

7 = F

8 = A

9 = B

10 = C

Have a nice day ;)

The graph of y = In(x) was transformed by shifting 8 units left and 12 units up. Write an equation

Answers

The equation of the translated function for this problem is given as follows:

y = ln(x + 8) + 12.

What are the translation rules?

The four translation rules are defined as follows:

Left a units: g(x) = f(x + a).Right a units: g(x) = f(x - a).Up a units: g(x) = f(x) + a.Down a units: g(x) = f(x) - a.

The parent function in this problem is given as follows:

y = ln(x).

The translations in this problem, and their effects, are given as follows:

8 units left: x -> x + 8.12 units up: y -> y + 12.

Hence the translated function is defined as follows:

y = ln(x + 8) + 12.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

what is (5x+6)-(2x+5).

Answers

the answer is 3x + 1

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meters and the diameter of a base of the cylinder is 4 meters. What is the height of the cylinder? Enter your answer, as a simplified fraction, in the box.

Answers

The height of the cylinder will be 6 meters.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In some modern branches of geometry, a cylinder may also be defined as an infinite curvilinear surface.

Given that the surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meters and the diameter of the base of the cylinder is 4 meters.

The height of the cylinder will be calculated as:-

Surface area = 2πrh

24π = 2πrh

r x h = 12

The diameter is 4 meters so the radius is 2 cm.

r x h =- 12

h = 12 / r

h = 12 / 2 = 6 meters

The height of the cylinder will be 6 meters.


To know more about a cylinder follow

https://brainly.com/question/23935577

#SPJ1

I NEED HELP ON THIS ASAP!!!!

Answers

Answer:

see below

Step-by-step explanation:

v=πr² (h/3)

h=3v/πr²

original equation measures v using bottom circle area multiply the height.

the equation for the height reverses the multiplication using volume divided by the area, so the result is a linear measurement.

Consider the function f(x). Select all of the following that include a vertical stretch of f(x).

Answers

The vertical stretch of f(x) will be -2f(x), 5.5f(x) - 1, 7f(x)

As is well known, the vertical stretch of f(x) occurs when the value of the parameter is changed in the following general form:

When a constant c with a value larger than one is scaled across the board of a function, it results in a vertical stretch. It is written as the vertical stretch from the original function f(x) to the new, stretched function g(x)=cf(x) where c>1 g ( x ) = c f ( x ) where c > 1.

f(k(x-d)) = y = a+ c

when |a| exceeds 1 since The function is stretched vertically by a dilation factor of |a| when |a| > 1 (when a > 1).

Thus, we select F, D, and A.

Know more about vertical stretch

https://brainly.com/question/28321065

#SPJ4

The full question:

Consider the function f(x). Select all of the following that includes a vertical stretch of f(x)

A. -2f(x)

B. 0.25f(x)

C. -f(x) + 6

D. 5.5f(x) - 1

E. f(x) + 9

F. 7f(x)

*PLEASE HELP SOON* Evaluate 5^x for each given value of x.

Answers

Each of the function should be evaluated as follows;

When x = 2, 5^x = 25.When x = 1, 5^1 = 5.When x = 0, 5^0 = 1.When x = -1, 5^-1 = 1/5.

How to evaluate the function for each given value of x?

In Mathematics, the valid and true solutions to any function are referred to as the domain (input value) and they can be determined by substituting the x-values contained in the table into the function.

When x = 2, the range (output value) for this function is given by:

Function, f(2) = 5^x = 5^2 = 25.

When x = 1, the range (output value) for this function is given by:

Function, f(1) = 5^x = 5^1 = 5.

When x = 0, the range (output value) for this function is given by:

Function, f(0) = 5^x = 5^0 = 1.

When x = -1, the range (output value) for this function is given by:

Function, f(x) = 5^x = 5^-1 = 1/5.

Read more on function here: brainly.com/question/3632175

#SPJ1

One afternoon Mr. And Mrs. Baxter and their 3 children were busy working outside in their garden. Mrs. Baxter was feeling hungry, so she went inside to the kitchen where there was a plate full of cookies. She ate 1/6 of the cookies and then went back to work. Mr. Baxter was feeling hungry, so he went inside and ate 1/5 of the remaining cookies and then went back to work. Next, Anna was feeling hungry, so she went inside and ate 1/4 of the cookies that were left on the plate and then went back to work. Then Tyler was feeling hungry, so he went inside, ate 1/3 of the cookies left on the plate and then went back to work. Finally, little Adam was feeling hungry, and he went inside and ate 1/2 of the remaining cookies, leaving 4 cookies on the plate. How many cookies were on the plate before anyone started feeling hungry?

Answers

24 cookies were on the plate before anyone started feeling hungry.

Let X be the number of cookies on the plate before anyone started feeling hungry.

After Mrs. Baxter ate 1/6 of the cookies, there were,

X - (X * 1/6) = 5/6X cookies left.

After Mr. Baxter ate 1/5 of the remaining cookies, there were,

5/6X - (5/6X * 1/5) = 5/6X- 1/6X = 4/6X cookies left.

After Anna ate 1/4 of the remaining cookies, there were,

4/6X - (4/6X * 1/4) = 4/6X- 1/6X = 3/6X cookies left.

After Tyler ate 1/3 of the remaining cookies, there were

3/6X - (3/6X * 1/3) = 3/6X- 1/6X = 2/6X cookies left.

After Adam ate 1/2 of the remaining cookies, there were,

2/6X - (2/6X * 1/2) = 2/6X- 1/6X = 1/6 cookies left.

We know, after Adam eats, 4 cookies are left, therefore,

1/6X = 4

So X = 4 *6 = 24

Read more about Fractions:

https://brainly.com/question/20692799

#SPJ4

a player of a video game is confronted with a series of 4 opponents and a(n) 73% probability of defeating each opponent. assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends). round your answers to 4 decimal places. (a) what is the probability that a player defeats all 4 opponents in a game? enter your answer in accordance to the item a) of the question statement (b) what is the probability that a player defeats at least 2 opponents in a game? enter your answer in accordance to the item b) of the question statement (c) if the game is played 3 times, what is the probability that the player defeats all 4 opponents at least once? enter your answer in accordance to the item c) of the question statement

Answers

The Probability that the player will win against each of the four opponents at least once is 0.7942.

The player has a P(W) = 0.80 winning chance.

The likelihood that the player will lose is hence P(L)= 1 - P(W) = 0.20.

The player is up against 4 different opponents in the video game.

It is stipulated that the game finishes when a player is defeated by an opponent.

The player can win in any of the following ways: L, WL, WWL, WWWL, and WWWW.

The results from each of the four opponents are distinct, meaning that the outcome of a game played against one opponent has no bearing on the outcome of a game against another.

P (Player defeats all 4 opponents) = 0.4096 is the probability that a player will win a game against all four opponents.

Thus, the probability that the player defeats all four opponents in a game is 0.4096.

(b) The likelihood that a player will win a game against at least two opponents is,

P = 1 (Player defeats at least 2) P = 0.64 when the player loses the first and second games.

Therefore, there is a 0.64 percent chance that the player will win at least two games against opponents.

Let X equal the number of times the player triumphs over all four opponents.

The likelihood that a player will win a game against all four opponents is,

P(WWWW) = 0.4096

The probability that a player will triumph over each of the four opponents at least once is,

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)\s = 0.7942

Therefore, there is a 0.7942 probability that the player will win against all four opponents at least once.

To know more about Probability click here:

brainly.com/question/30034780

#SPJ4

Please explain and answer!

Answers

The Pythagorean identity is proved to be 1 + cot2 = cosec2, which results in sin2 + cos2 = 1.

How to verify Pythagorean identity?

With the value of sine and the quadrant in which the angle is placed, we can use the Pythagorean identity to get the angle of cosine.

If we are given the cosine value and the quadrant in which the angle is placed, we may similarly compute the angle of sine.

Cosec2 = 1 + cot2

Therefore,

cosec2 = 1/sin2

Tan2 = cos2 / sin2 = cot2 = 1

Hence,

1/sin2 = 1 + cos2 / sin2.

multiplied both sides by sin2 as a result.

1(sin2 ) + (cos2 / sin2 ) = (sin2 / sin2 )

cos2 + sin2 = 1.

To Learn more About Pythagorean identity refer to:

https://brainly.com/question/24287773

#SPJ1

Use the long division method to find the result when 8x^{3}+6x^{2}+26x-128x

3

+6x

2

+26x−12 is divided by 4x-14x−1.

Answers

Answer:

4x^2-3x+1+18?=2x+3

Step-by-step explanation:

bnkjhhlhbghhbhbhlhby kjjn

#7
DE is a midsegment of AABC. Find the value of x .
X =
B
A 6 E
D
X
C

Answers

Using the Midsegment Theorem, the value of x is: 6.

What is the Midsegment Theorem of a Triangle?

The Midsegment Theorem states that in a triangle, the segment that connects the midpoints of two sides of the triangle is parallel to the third side and is half as long as the third side. In other words, the midsegment of a triangle is parallel to the third side and has half the length of the third side.

Therefore the ratio of DE to AB would be: 1/2

Ratio of EC to AC would be: x/(x + 6)

Thus:

x/(x + 6) = 1/2

Cross multiply

2x = x + 6

2x - x = 6

x = 6

Learn more about Midsegment Theorem on:

https://brainly.com/question/12234706

#SPJ1

Determine whether each pair of equations are equivalent. Explain your answer. 5x − 4 + 3x = 8 and 8x = 12

Answers

Solve for the first variable and in one of the equations, then substitute the result into the other equation
Answer: x=3/2

What fraction in simplest form is 28 hours out of a week

Answers

I don’t know if you want to convert the week to numbers of hours or stay with 7. Because people say 9/5 all the time, meaning 9 hours 5 days. So it’s hours/days. In this case, you have 28/7, and that can be simplified to 4/1 or 4 by dividing 7 to both the numerator and denominator.

3 (2 x - 7) = 3
How many solutions does this equation have?

Answers

Answer:

It has one solution, x = 4

Step-by-step explanation:

[tex]3(2x-7) = 3\\2x-7 = \frac{3}{3} \\2x-7 = 1\\2x = 8\\x = 4[/tex]

No other answer would work

Other Questions
What is the main idea of the cartoon? which type of rock forms as a result of the weathering process, either by compaction and cementation of rock mineral fragments or the precipitation of dissolved minerals? A single cylinder, double acting compressor with bore and stoke of 45 cm x 45 cm is tested at 150 rpm and found to deliver a gas from 101.3 kPa and 300 K to 675 kPa at a rate of 0.166 m^3/s when n = 1.33 for compression and expansion process? Calculate the percent clearance.Answer in % Lz + A= [; ; ;] 13 _ [ ( 2 3 ] c [: ;] 5 . [ '| E [,] Which of the 25 matrix products AA, AB, AC defined? Compute those products that are defined_ ED, EE are What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?-6x^{2}-582=60x Most government entities share their compensation structure publicly. They use a job classification plan where pay rates are based on compensable factors such as knowledge and skills similar to the federal governments General Schedule (GS) system.Jobs are grouped into seven classifications, ranging from Grade 1 through Grade 7. Over time, employees receive pay increases according to length of service (Steps 14), and progression through the steps assumes a minimum of acceptable performance.Below is an example of a citys waiting period within steps and published job structure: Waiting Step 1 to 2: One year Step 2 to 3: One year Step 3 to 4: Two years Period and six monthsGrade Step 1 Step 2 Step 3 Step 41 31200 32240 33280 343202 35360 36400 37440 384803 39520 40560 41600 426404 43680 44720 45760 468005 47840 48880 49920 509606 52000 53040 54080 540807 56160 57200 58240 592801. Using the schedule above, calculate the number of years it would take an employee to advance from their starting position in Grade 4 (Step 1) to Step 4 if they demonstrate acceptable performance.2. Another employee asked what their salary would likely be after completing two additional years of service. This employee just entered their first year in Grade 4 (Step 2). If they were to demonstrate acceptable performance, what would their expected salary be after completing two additional years of service?3. All pay rates typically increase each year based on changes in the consumer price index. Calculate the salary for each step in Grade 7 based on an overall 3% increase. 1.it was realed.A. made knownB.mumbledC.resealedD.rentedE.hidden away Yushio is borrowing $3,525 from Houghtonville National Bank for 2 years at 12.6% simple interest. How much will he need to repay the loan? megan collects stamps.she keeps her stamps ina abook that can hold 17 on each page. she has 56 pages full of stamps, and 14 pages that are only half full.how many stamps does megan have? describe the path followed by water from the soil, through the plant and into the atmosphere. where are the important resistances to water movement in this path? describe the casparian strip and its function. from the point of view of its function, what is the most important substance in the casparian strip? You buy a 562. 75 mL of dish soap. You already have some at home. How many mL do you have? 224. 14 at home Whats a system of equations that can be entered into a graphing calculator to solve 16.9x-2.3=3.2x+18 Banana Inc. is producing batches of smartphones. The company's quality control department randomly picks a sample phone from each batch for testing. Which of the following percentages is possible as the percentage of the samples that pass? Which of the following are not the lengths of the sides of a 30-60-90 triangle?A. 1/2, 3/2, 1B. 5/2, 53/2, 10C. 2, 6,22D. 3,33,6 b. draw the equivalent circuit of the alternator per phase under the dc field excitation conditions given above. c. what is the nominal full load current per phase? 2. a. if the alternator in problem 1 supplies a resistive load of 120mw at a voltage of 12kv, what must be the induced voltage eo ? which of the following is not considered a safety equipment? group of answer choices eye wash station, safety shower broken glass box fire extinguisher safety hood Select the inequality that models the problem. The sum of two consecutive odd integers is at least 76. Find the least possible pair of integers. A) n + n + 2 > 76 B) n + n + 1 76 C) n + n + 2 76 D) n + n + 1 > 76 HelpA machine that drills holes for wells drilled to a depth of72 feet in one day (24 hours).At this rate, how many hours will it take until the drill reaches its final depth of 132 feet? A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system beconsistent? Illustrate your answer with a specific system of three equations in two unknowns. chosse from the below option.a)Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solutionAnswer: (Type an ordered pair here _____)x1=2, x2=4, x1+x2=6 Describe Coralines personality. Cite two quotes that support your answer.