5% of a number is 23
1% of the same number is 4. 6
work out 16 % of the number

I don't know but i can help a little

Step-by-step explanation:

But If the slops are the same and the y-intercepts are different, the lines are parallel...

Answer:

1. I don't know

2. 10

Step-by-step explanation:

[tex]c=\sqrt{a^{2}+b^{2} } = \sqrt{6^{2}+8^{2} } = \sqrt{36+64} = \sqrt{100} = 10[/tex]

Every student may take on any part, and no student may take on more than one role. Hence, it is feasible to have 45 different casts.

In contrast, there are various techniques to select r things from a set of n objects and arrange these r objects in permutations.

The permutations formula itself states that selection should come first (nCr), followed by arrangement (r).

the given :

10 students are working on a skit,

2 different roles. each role can be played by anyone

n = 10

r = 2

nPr = nCr x r!

nCr = n!/r!(n-r)!

so,

nCr = 10!/2!(10-2)!

nCr = 10x9/2x1

nCr = 45

so, the 45 different casts are possible

To know more about permutations, click the below link

https://brainly.com/question/30649574

#SPJ4

The graph shows that the rise is 3 and the run is 3, and the hypotenuse is the length between the two points.

let hypotenuse = x

using Pythagorean theorem:

x^2= 3^2 + 3^2

x^2 = 9 + 9

x= sqrt 18

x = 4.2426....

rounding to the nearest 10th:

x = 4.2

The value of x in the given linear equation of 4x = 28 is determined as 7.

To find the value of x in the linear equation 4x = 28, we need to isolate x on one side of the equation.

We can do this by dividing both sides of the equation by 4:

4x/4 = 28/4

Simplifying:

x = 7

Thus, identify the equation and the variable: In this case, the equation is 4x = 28, and the variable we want to solve for is x. Also simplify the linear equation by dividing both sides by 4, we get x = 7, which is the solution.

Learn more about linear equation here: https://brainly.com/question/28732353

#SPJ1

The complete question is below:

4x = 28

find the value of x

The year that saw 164 billion dollars being spent on advertising, given the function for the advertising would be c. 1994

The dimensions of the rectangle, given the area of the rectangle would be:

The function is given by y = 0.93x² + 2.2x + 130, where y is the amount of money spent (in billions of dollars) and x is the number of years since 1990. We need to find the value of x when y = 164.

164 = 0.93x² + 2.2x + 130

0.93x² + 2.2x + 130 - 164 = 0

0.93x² + 2.2x - 34 = 0

x = 2.5

Now, we'll find the year by adding the value of x to 1990:

Year = 1990 + 2.5 = 1992.5

= 1994 which is the closest year in options

The area of the rectangle is given by:

Area = width × length

91 = (x + 2)(2x + 3)

91 = 2x² + 3x + 4x + 6

91 = 2x² + 7x + 6

2x² + 7x - 85 = 0

When solved differently:
x = 4.9

x = -3.5

Using the positive values:

Width = x + 2 ≈ 4.9 + 2 = 6.9 meters

Length = 2x + 3 ≈ 2(4.9) + 3 ≈ 9.8 + 3 = 12.8 meters

Find out more on rectangles at https://brainly.com/question/28107004

#SPJ1

The given probability is 0.37 which is the probability of a supply container dropped from an aircraft by a parachute hitting a target. So the expected number of container drops needed to hit a target is approximately 2.7027.

       To find out the expected number of container drops needed to hit a target, we can use the formula given below;            

                      E(X) = (1/p) E(X)

                             = (1/0.37)E(X)

                             = 2.7027

          Thus, the expected number of container drops needed to hit a target is approximately 2.7027.

An expected value is a statistical concept that represents the theoretical average value of a random variable. It is represented as E(X).

            The expected value is calculated by multiplying each possible value of the random variable by its probability and then adding all of the products.

Learn more about the probability of winning at: https://brainly.com/question/24756209

#SPJ11

Law of Cosines Of A Triangle -GIVEN: C (the degree) 20, 22,18 (the base). C is 26.5 degrees.

To solve for the angle C using the law of cosines, we use the formula:

[tex]c^2 = a^2 + b^2[/tex] - 2ab cos(C)

where c is the angle C's opposite side.

Substituting the given values, we get:

[tex]18^2 = 20^2 + 22^2[/tex] - 2(20)(22)cos(C)

324 = 1048 - 880cos(C)

880cos(C) = 724

cos(C) = 724/880

C = [tex]cos^{(-1)}[/tex](724/880)

C ≈ 26.5 degrees

Therefore, the measure of angle C is approximately 26.5 degrees.

To learn more about Law of Cosines, refer:-

https://brainly.com/question/17289163

#SPJ1

Answer:

331/2

Step-by-step explanation:

5 1/2= 11/2

3 1/2 = 7/2

11/2x7/2x6=115 1/2 = 331/2

Answer:

115.5 cm^3

Step-by-step explanation:

Volume=LengthxWidthxHeight

The values from the diagram are 3.5, 6, and 5.5

Multiply!

3.5x6x5.5=115.5

The given inequality is [tex]|x-3|/11 \geq 1[/tex]and the solution to the inequality is [tex]x \leq -8[/tex] or [tex]x \geq 14.[/tex]

We want to solve for [tex]x[/tex], which means we want to find all possible values of [tex]x[/tex] that satisfy the inequality.

To start, we multiply both sides of the inequality by 11, which gives us:

[tex]| x - 3 | \geq 11[/tex]

Now we have an inequality without any fractions. The absolute value sign means that we need to consider two cases: one where [tex]x-3[/tex] is positive, and one where [tex]x-3[/tex] is negative.

Case 1: [tex]x-3[/tex] is positive

If [tex]x-3[/tex] is positive, then [tex]| x - 3 |[/tex] is equal to [tex]x-3[/tex]. So we can rewrite the inequality as:

[tex]x - 3 \geq 11[/tex]

Adding 3 to both sides, we get:

[tex]x \geq 14[/tex]

This means that if [tex]x[/tex] is greater than or equal to 14, then the inequality is satisfied.

Case 2: [tex]x-3[/tex] is negative

If [tex]x-3[/tex] is negative, then [tex]| x - 3 |[/tex] is equal to [tex]-(x - 3)[/tex]. So we can rewrite the inequality as:

[tex]-(x - 3) \geq 11[/tex]

Multiplying both sides by -1, we get:

[tex]x - 3 \leq -11[/tex]

Adding 3 to both sides, we get:

[tex]x \leq -8[/tex]

This means that if [tex]x[/tex] is less than or equal to -8, then the inequality is satisfied.

Putting these two cases together, we get:

[tex]x \leq -8[/tex] or [tex]x \geq 14[/tex]

These are all the possible values of [tex]x[/tex] that satisfy the inequality.

To learn more about inequality follow the link:

https://brainly.com/question/30231190

#SPJ1

The complete question is:

Solve the equation: | x - 3 | / 11 ≥ 11 and determine the type of solution.

Answer:

The answer to your problem is, A. 60%

Step-by-step explanation:

54 of 90 can be written as: [tex]\frac{54}{90}[/tex]

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

[tex]\frac{54}{90} * \frac{100}{100}[/tex]

= [tex]\frac{( 54 * 100)}{90} * \frac{1}{100} = \frac{60}{100}[/tex]

Thus the answer to your problem is, A. 60%

Learn more here:

https://brainly.com/question/20802915

Answer:

x = 60%

Step-by-step explanation:

Let the unknown percentage be x.

We can make an expression using the given information.

[tex]\sf90*\frac{x}{100} =54[/tex]

Solve for x to find the percentage.

[tex]\sf\frac{90x}{100} =54\\90x=54*100\\\\90x=5400\\\\\frac{90x}{90}=\frac{5400}{90}\\\\ x=60[/tex]

The box and whisker plot can be created by :

Minimum value - 6

Maximum Value - 15

Median - 10

Quartiles - Q1 - 7.5, Q2 - 10, Q3 - 13.5

To create a box and whisker plot for the given data set {6,7,7,8,9,10,10,10,10,13,13,14,14,15,15}, we need to first find the minimum value, maximum value, median, and quartiles.

Minimum value: 6

Maximum value: 15

Median: To find the median, we need to first arrange the data set in ascending order:

6,7,7,8,9,10,10,10,10,13,13,14,14,15,15

The median is the middle value in the data set, which is 10.

Quartiles: To find the quartiles, we need to divide the data set into four equal parts.

First quartile (Q1): The first quartile is the median of the lower half of the data set. In our case, the lower half of the data set is:

6,7,7,8,9,10

The median of this set is (7+8)/2 = 7.5.

Second quartile (Q2): The second quartile is the median of the entire data set, which we already found to be 10.

Third quartile (Q3): The third quartile is the median of the upper half of the data set. In our case, the upper half of the data set is:

10,10,10,10,13,13,14,14,15,15

The median of this set is (13+14)/2 = 13.5.

Now, we can use the above information to create the box and whisker plot.

The horizontal line inside the box represents the median (10). The bottom of the box represents the first quartile (7.5), and the top of the box represents the third quartile (13.5). The whiskers extend from the box to the minimum value (6) and maximum value (15).

To know more about median

https://brainly.com/question/28060453

#SPJ4

the baker needs 15 gallons of milk to make 80 chocolate pies for the community festival. To find out how much milk is needed to make 80 chocolate pies, we need to first determine the total amount of milk required for one chocolate pie. We know that the baker needs 3 cups of milk to make one chocolate pie.

To convert cups to gallons, we need to divide by 16 since there are 16 cups in a gallon. So, one chocolate pie requires 3/16 gallons of milk.

To find out how much milk is needed to make 80 chocolate pies, we can multiply the amount of milk required for one pie by the number of pies. This gives us:

(3/16) gallons of milk per pie x 80 pies = 15 gallons of milk

Therefore, the baker needs 15 gallons of milk to make 80 chocolate pies for the community festival.

It's important to make sure we convert units correctly when solving these types of problems. In this case, we had to convert cups to gallons to make sure we were using the same unit of measurement for both the amount of milk needed for one pie and the total amount needed for 80 pies. By following these steps, we can accurately determine the amount of ingredients needed to fulfill an order, which is important for bakers and other food service professionals.

To know more about unit of measurement  click here:

brainly.com/question/12441329

#SPJ4

Answer:

B.

Step-by-step explanation:

I just took the test

The distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.

What is a skewed distribution?

A skewed distribution is one in which the data is not uniformly distributed but rather concentrated on one side. In simple words, a skewed distribution is one in which one tail has a greater number of observations than the other tail, with the majority of data falling in the tail with the greater number of observations.

In a symmetric distribution, the data is uniformly distributed on both sides of the median, with half of the data lying to the right and half to the left.

Thus, the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.

To know more about skewed distribution: https://brainly.com/question/28315480

#SPJ11

The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71%. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37%.

The probability that a haphazardly chosen vagrant pet in a creature covered in Austin is a canine is 11.71%.

The probability that a haphazardly chosen stranded canine in a similar creature cover in Austin is a Chihuahua is 29.37% .

2.76% + 2.86% + 3.44% + 2.65% = 11.71%

11.71/3.44 = .2937

.2937 = 29.37%

Probability is just the way that logical something is to occur.

Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions represented by probability is called statistics.

to know more about probability click here:

https://brainly.com/question/13604758

#SPJ4

The rocket will be 30 feet from the ground approximately 0.4 seconds or 9.6 seconds after it is launched.

To solve this problem, we need to find the value of t for which the height of the rocket is 30 feet. We can use the given equation to set up an equation for this as follows:

-16t² + 160t + 90 = 30

Simplifying and rearranging, we get:

-16t² + 160t + 60 = 0

Dividing by -4, we get:

4t² - 40t - 15 = 0

Using the quadratic formula, we get:

t = [40 ± √(40² - 4(4)(-15))] / (2×4)

t = [40 ± √(1840)] / 8

t = [40 ± 2×√(460)] / 8

t = 5 ± (1/2)×√(460)

Therefore, the rocket will be 30 feet from the ground at t = 5 - (1/2)×√(460) seconds or t = 5 + (1/2)×√(460) seconds. These are the two possible solutions to the equation. We can simplify them as follows:

t = 0.4 seconds or t = 9.6 seconds

Learn more about quadratic here: brainly.com/question/28038123

#SPJ4

Answer:

x = 7 square root 84

OR

x = 1.88320258...

Step-by-step explanation:

Answer:

[tex]x=\sqrt[7]{84}[/tex]

Step-by-step explanation:

1) Take the 7th root of both sides.

[tex]x=\sqrt[7]{84}[/tex]

Check the answer:

[tex]x^7=84[/tex]

1) let x = ^7sqrt84

(^7sqrt84)^7 = 84

2) use this rule: ^7sqrtx^7 = x.

84=84

560

1) PEMDAS so 2+14=16

2)55/11=5

3)5x7=35

4)35(16)=560

There were initially 4 million bacteria in the culture.

To determine the initial number of bacteria in the culture, we can follow these steps:

Step 1: Identify the given data.
At the end of 6 hours, there are 5 million bacteria.
At the end of 9 hours, there are 8 million bacteria.

Step 2: Find the rate of bacterial growth.
Since the number of bacteria increased by 3 million (8 million - 5 million) over 3 hours (9 hours - 6 hours), the rate of bacterial growth is 1 million per hour (3 million ÷ 3 hours).

Step 3: Calculate the initial number of bacteria.
The number of bacteria increased by 5 million over the 6 hours. Therefore, if we divide this number by the rate of growth, we can determine the initial number of bacteria. Divide 5 million by 1 million per hour, which results in 5 hours.

Step 4: Subtract the time from the initial time.
Since we know that the culture was growing for 5 hours before reaching 5 million, we can subtract 5 hours from 6 hours, which equals 1 hour.

Step 5: Calculate the initial number of bacteria at 1 hour.
Since the bacteria grow at a rate of 1 million per hour, at the end of the 1st hour, there would be 1 million bacteria. Subtracting this number from the 5 million at the end of 6 hours will give us the initial number of bacteria: 5 million - 1 million = 4 million bacteria.

So, there were initially 4 million bacteria in the culture.

To know more about bacteria refer here:

https://brainly.com/question/8008968#

#SPJ11

Answer: I mean technically no. grades don't really matter until high school. You can get held back but that's up to your parents if you do

answer:

probobly not because it can also depend on the fsa or fast test u have to take but a 68 is not bad its a d+ really close to 70 so i dont think u will dont worry.

Answer: Line PQ is parallel to line LM

Step-by-step explanation:

We can check if they are of equal distance apart by checking if the ratios of the given lines are equal...in other words we must check if LP/PN=MQ/QN

We know that triangle PNQ is inscribed inside triangle LNM

Using the information we have we see that side LP is 18 units, PN is 16 units, MQ is 27, and QN is 24. With this information we can write out LP/PN=MQ/QN and see if it's true.

LP= 18, PN= 16, 18/16= 1.125

MQ= 27, QN=24, 27/24= 1.125

therefore, LP/PN=MQ/QN is true. Making line PQ and line LM parallel.

It is important to understand that the force of gravity acting on an object does not violate Newton's second law. It is an external force that acts on an object and produces an acceleration in it. Therefore, the acceleration due to gravity does not violate Newton's second law.

According to the Newton's second law, a force acting on a body of mass m produces an acceleration a in the body which is directly proportional to the force and inversely proportional to the mass. For instance, If a body of mass m is acted upon by a force F, then the acceleration produced in the body is given by F/m.As per the law, a larger force will produce a larger acceleration in the object.

When a body falls under gravity, it is said to experience weight. The weight of an object is the force of gravity acting on the object. According to Newton's law of gravitation, every object attracts every other object with a force proportional to their masses and inversely proportional to the square of their distance. In general, the weight of an object can be given by the formula weight = mass x acceleration due to gravity.

Therefore, as the acceleration due to gravity is the same for all objects, the weight of an object is proportional to its mass. It implies that a heavier object has more weight, while a lighter object has less weight.As per the above facts, a heavier object would require a larger force to move it than a lighter object. However, when they fall under gravity, both objects fall at the same rate. It appears as a contradiction, but the reason for it is the difference between weight and mass.

The mass of an object is a measure of the amount of matter in it, while the weight of an object is the force exerted on it by gravity.The acceleration produced in an object by an external force is not the same as the acceleration due to gravity. A force F produces an acceleration F/m, whereas the acceleration due to gravity is the same for all objects.

for such more questions on weight

https://brainly.com/question/28571689

#SPJ11

The answer is k = 1/5, which represents the constant of proportionality between y and x in the equation y = x/5.

What is proportion?

Proportion is a mathematical concept that describes the equality of two ratios. In other words, it is a statement that two ratios or fractions are equal.

To determine if the equation y = x/5 represents a proportional relationship, we need to check if there is a constant of proportionality between y and x.

If there is a constant of proportionality, then we can write y = kx, where k is the constant of proportionality. In other words, the ratio of y to x is always the same constant value.

To find the constant of proportionality for the equation y = x/5, we can rearrange the equation as:

y/x = 1/5

This means that the ratio of y to x is always 1/5. Therefore, there is a constant of proportionality, which is 1/5.

So, the equation y = x/5 represents a proportional relationship, and the constant of proportionality is 1/5.

Therefore, the answer is k = 1/5, which represents the constant of proportionality between y and x in the equation y = x/5.

To know more about proportions visit:

brainly.com/question/30241688

#SPJ1

Answer:

x=10

Step-by-step explanation:

x2=20

2*x=20

2*10=20

so, x=10

Therefore, the order of the samples from smallest to largest amount (moles) of OY is: Go, Y, Na, Mn.

In order to list the samples in order of the amount (moles) from smallest to largest OY, we need to calculate the number of moles of each element. Let's start with the given samples:Na -[tex]0.10 gY - 0.10 gGo - 0.10 gMn - 0.10 g[/tex]

Now, let's find the number of moles of each element:Na: The molar mass of Na is 22.99 g/mol.Number of moles of Na = mass of Na/molar mass of Na= 0.10 g/22.99 g/mol= 0.00435 molY: The molar mass of Y is 88.91 g/mol.Number of moles of Y = mass of Y/molar mass of Y= 0.10 g/88.91 g/mol= 0.00112 molGo: The molar mass of Go is 118.71 g/mol.Number of moles of Go = mass of Go/molar mass of Go= 0.10 g/118.71 g/mol= 0.00084 molMn: The molar mass of Mn is 54.94 g/mol.

Number of moles of Mn = mass of Mn/molar mass of Mn= 0.10 g/54.94 g/mol= 0.00182 molNow, we can list the samples in order of the amount (moles) from smallest to largest OY:Go (0.00084 mol) < Y (0.00112 mol) < Na (0.00435 mol) < Mn (0.00182 mol)

for such more questions on list the samples

https://brainly.com/question/30319285

#SPJ11

The surface area is

[tex]2(5\times4)+2(5\times2)+2(4\times2)=[/tex]

[tex]40+20+16=[/tex]

76 square yards

Answer:

The surface area of the prism.

5 yd, 4 yd, 2 yd

Step-by-step explanation:

You're welcome.

Therefore, the area of P is 4 times bigger than the area of Q.

Area is a measure of the amount of two-dimensional space enclosed by a closed figure, such as a square, rectangle, circle, or triangle. It is typically measured in square units, such as square meters (m²) or square centimeters (cm²). The formula for finding the area of a figure depends on the shape of the figure. For example, the area of a rectangle is found by multiplying its length by its width, while the area of a circle is found by multiplying π (pi) by the square of its radius. Knowing the area of a figure can be useful in many situations, such as when calculating the amount of material needed to cover a floor or when determining the capacity of a container. It is also an important concept in geometry, where it is used to compare the sizes of different shapes and to solve problems involving the relationships between them.

Here,

The area of a circle is given by the formula A = πr², where A is the area and r is the radius.

For shape P, the area is:

A_P = (3/4)π(20²) = 300π

For shape Q, the area is:

A_Q = (1/3)π(15²) = 75π

To find how many times bigger the area of P is than the area of Q, we can divide the area of P by the area of Q:

A_P / A_Q = (300π) / (75π) = 4

To know more about area,

https://brainly.com/question/22469440

#SPJ1

Answer:

Let's say the number of visits to the pool is represented by the variable 'x'.

If a person chooses to pay per visit, the cost will be 4x dollars.

If a person chooses to buy a membership, the cost will be a one-time payment of $100.

We want to find out when the cost of buying a membership becomes less expensive than paying per visit. In other words, we want to solve the inequality:

4x > 100

To solve for x, we need to isolate the variable. We can do this by dividing both sides by 4:

x > 25

So, if a person plans to visit the pool more than 25 times, it's more cost-effective to buy a membership instead of paying per visit.

At exactly 2:00, the distance between the tips of the two hands is changing at the rate of 4 cm/min.Therefore, at exactly 2:00, the distance between the tips of the two hands is changing at the rate of [tex]2\sqrt{13}[/tex] cm/min.

The phrase "at exactly 2:00" means that at 2:00:00, the hour hand and the minute hand overlap. Both hands are together pointing upwards in the vertical direction. At this moment, the angle between the minute hand and the hour hand is 0 degrees.How do we determine the rate of change of the distance between the tips of the two hands?We start by calculating the angle between the two hands. The angle is given by:

θ(t) = 30h - 11/2m

where h is the number of hours past midnight and m is the number of minutes past the most recent hour. At exactly 2:00, h = 2 and m = 0. Thus:

θ(t) = 30(2) - 11/2(0) = 60 degrees

Next, we use the formula for the distance between two points (the tips of the two hands). Let the hour hand be at the point (0,0) and let the minute hand be at the point (x,y).

The distance between the two points is given by:

[tex]d(t) = \sqrt{(x^2 + y^2)}[/tex]

To find x and y, we use the formulas:

x(t) = r cos θ(t)y(t) = r sin θ(t)

where r is the length of each hand. At exactly 2:00:

[tex]r = 4 cmx(t) = 4 cos 60 = 2 my(t) = 4 sin 60 = 2\sqrt{(3) m}[/tex]

Therefore: [tex]d(t) = \sqrt{(x^2 + y^2)}  = \sqrt{(2 m)^2 + (2sqrt(3) m)^2)}  = 2\sqrt{(13) m}[/tex]

Finally, we differentiate with respect to time t to find the rate of change of [tex]d(t):d'(t) = 2\sqrt{13}[/tex] cm/min

for such more question on distance

https://brainly.com/question/17273444

#SPJ11