how do you solve for -2x + 6y = 18

Answers

Answer 1

Answer: x=-3(-y+3)

Step-by-step explanation:

Related Questions

1. Jack buys small tins of tomatoes every week. They usually cost 50¢ each. Last week,
however, Jack saw that the shop was selling six large tins of tomatoes plus a bag of
pasta for $7.50. He worked out that the pasta was normally $2. Jack decided that he
could use one large tin of tomatoes instead of two small tins so he bought 18 large tins
of tomatoes together with three bags of pasta.
This week, however, the small tins of tomatoes are on offer at $1.60 for a pack of four.
How much more did Jack pay last week for tinned tomatoes than if he had bought them
this week?
Answer is in what unit?

Answers

Jack paid $ 2.10 more than last week for tinned tomatoes.

The answer is in dollars.

Given that:-

Price of small tomato tins = 50 cents

Price of pasta packet = $ 2

Price of large tomato tins = 2*50 cents = $ 1

Total price of 6 large tins and a pasta packet = $ 7.50

Price of 4 small tins of tomatoes this week = $ 1.60

Price paid by Jack last week for 18 large tins and 3 pasta packets = 7.50*3 = $ 22.50

Price of 18 large tins = 22.50 - 2*3 = 22.50 - 6 = $ 16.50

As 18 large tins equals 36 small tins, we can write,

Price Jack would have paid this week = 36*1.60/4 = $ 14.40

The amount Jack paid more for tinned tomatoes = 16.50 - 14.40 = $ 2.10

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Triangle CDE is translated down and to the right, forming triangle C'D'E'.
E
C'
Which congruency statement is correct?
O ADCE AD'E'C'
~
ADCE AD'C'E'
AEDC AC'D'E'
AEDC AC'E'D'
D'
E
Ε'

Answers

Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct ΔDCE ≅ ΔD'C'E'

What is translation of triangle?

Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.

Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.

Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.

therefore,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

Hence, Option (B) is correct answer.

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Chocolate milk Riley mix five scoops of chocolate powder with 3 cups of milk Brooke mixes 6 cups of chocolate powder with 4 cups of milk whose mixture is more chocolatey explain how you know

Answers

This mixture has an extra scoop of chocolate ice cream so will taste more chocolatey than 3 scoops of chocolate ice cream and 2 cups of milk.

you play a casino game until you win for the first time. on average, you win for the first time on the 11th game played. what is the probability of winning the game? round your answer to three decimal places.

Answers

The probability of winning the game is 1/11.

what is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.

Given:

If we win the first time on the 11th game played.

So, we can consider the total is 11.

So, the probability of winning the game

= 1/11

Hence, the probability of winning the game is 1/11.

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I need help with number 12. you have to spligy the expression and the answer will reveal a letter

Answers

8+9x+4(11-2x)

As a first step we are going to use distributive property of multiplication:

8+9x+44-8x

Solving ths:

52+x

Answer would be M

What’s the answer plss

Answers

Answer: 18.1 cm, ( i think you can use a ruler)

Step-by-step explanation:

Which number sentence is true? A. |10| < 1.0 B. |0| = 0 C. |-47| < |-30| D. |-100| < |0|

Answers

The second option (B) that is I0I = 0 is true.

This is a question of modulus.

Let us check all the options to find which one is true.

Let us check for A.

A. I10I < 0

We know that,

I10I = 10 > 0

Hence, this option is false.

Let us check for B.

B. I0I < 0

We know that,

I0I = 0 = 0

Hence, this option is true.

C. I-47I < I-30I

We know that,

I-47I = 47 and I-30I = 30

47 > 30

Hence,

I-47I > I-30I

Hence, this option is false.

D. I-100I < I0I

We know that,

I-100I = 100 and I0I = 0

100 >0

Hence,

I-100I > I0I

Hence, this option is false.

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Triangle X has two angles that measure 80° and 30°. Triangle Y has two angles
that measure 80° and 70°. Hannah says that triangles X and Y are not similar.
Jasmine says they are similar. Who is correct? Explain. HELPPP PLEASE

Answers

Answer:

Jasmine is correct. The triangles are similar.

Step-by-step explanation:

Triangle that have the same angle measurements are similar.

The sum of the interior angles of a triangle add up to 180

Triangle x has angles that measure 80 and 30. That totals 110. The third angle must be 70 so that it adds up to 180.

Triangle Y has angels that measure 80 and 70. That adds up to 150, that means that its third angles must be 30

Both triangles have angle measurements to 80, 70, and 30 so they are similar.

the sides of a rectangle are in the ratio 4:5.If the breadth is 10cm find the length of the rectangle

Answers

Answer:

If breadth means width then it will be 12.5

darnel is the executive chef at a mediterranean restaurant famous for its spicy tomato sauce. every week, he takes inventory and then places an order for what he needs. since his spicy tomato sauce is so popular, darnel needs to order more tomatoes every week. there is a proportional relationship between the amount of tomatoes he orders (in pounds), x, and their cost (in dollars), y. x (pounds) y (dollars) 22 $88 23 $92 24 $96 25 $100 what is the constant of proportionality? write your answer as a whole number or decimal. dollars per pound

Answers

The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

pounds , dollars

22, $8823, $9224, $9625, $100

Calculating the proportion of the amount of tomatoes he orders and their cost we get:

Proportion dollars per pound = Dollars / pound

Proportion dollars per pound = $88/ 22 pounds = 4 $/pound

Proportion dollars per pound = $92/ 23 pounds = 4 $/pound

Proportion dollars per pound = $96/ 24 pounds = 4 $/pound

Proportion dollars per pound = $100/ 25pounds = 4 $/pound

As we could get the constant of proportionality is 4 $/pound

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Point F is located at (-6, -2) on the coordinate plane. Point Fis reflected over the
y-axis to create point F'. What ordered pair describes the location of F'?l

Answers

The ordered pair describes the location of F' is (6, -2) reflected over the

y-axis.

What is meant by the term reflection?A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure has been equidistant from every point in another figure. The reflected image should be the same shape and size as the original, but it should face in the opposite direction. Translation can also occur as a result of changes in position.

The Y-coordinates of a point remain constant when it is reflected across the Y-axis. However, the X-coordinates are transformed into their inverse signs.

As a result, the Y-axis reflection of a point (x, y) is (-x, y).

For the given question;

Point F (-6, -2) is reflected along the y-axis to form a point F'.

The coordinates of F' becomes (6, -2), negative x axis will becomes positive.

Thus, the ordered pair describes the location of F' is (6, -2) reflected over the

y-axis.

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The sum of the first 100 positive even numbers show your work

Answers

Answer:

In both cases we get the same answer: the sum of the first 100 positive even numbers is 10,100.

Step-by-step explanation:

2 + 4 + 6 + 8 + ....+ 198 + 200 =

= (2 + 200) + (4 + 1998) + ... + (100 + 102) = 50*202 = 10,100

At a local print shop, 20 copies can be made for $8. At this rate, how how many copies could be made for $14?

Answers

The number of copies that can be made would be: 35 copies

How to solve for the copies that can be made

We would have to solve this problem through the use of cross multiplication

such that we have 20 copies = 8 dollars

unknown copies ? = 14 dollars

This can be re written to be arranged in the form

20 = 8 dollars

? = 14 dollars

we would have to cross multiply

14 x 20 = 8 x ?

280 = 8?

divide through by 14

? = 280 / 14

= 20

Hence the copies that would be made is 35 copies for 14 dollars at the local print shop

Answers

The unit price in dollars per ounce is 0.5 dollars per ounce.

According to the question,

We have the following information:

Debra makes 26.40 dollars from selling 52.8 ounces of lemonade.

Now, to convert this into dollars per ounce, we will divide the total amount by the number of ounces of lemonade:

Dollars per ounce = 26.40/52.8

Dollars per ounce of lemonade = 0.5

Now, we can also convert this into cent.

We know that 100 cent make 1 dollar.

So, 0.5 cents will make (0.5*100) cents or in other words, 50 cents.

Now, it will be 50 cents per ounce.

Hence, the units price of lemonade in dollar per ounce is 0.5.

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Finding a final amount in a word problem on expA certain forest covers an area of 2600 km². Suppose thaUse the calculator provided and round your answer to the2.kmХ?

Answers

Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question

[tex]f(x)=ab^x^{}[/tex]

Where:

a is the initial value

b is the factor of decay

y is the new value

x is the time

[tex]\because a=2600km^2[/tex][tex]\because b=1-\frac{7}{100}=0.93[/tex][tex]\because x=7years[/tex][tex]y=2600(0.93)^7[/tex]

Let us find the answer using the calculator

[tex]y=1564.422264km^2[/tex]

Round it to the nearest square km means a nearest whole number

y = 1564 km^2

The final amount is 1564 square kilometers

I’d appreciate the help this is my last few questions and this will save my grade since the first trimester of my school is done this week so I appreciate help

Answers

Answer:

260.52cm^

Step-by-step explanation:

If f(1)=4 f(2)=5 and f(n)=f(n-1) + f(n-2) then find the value of f(5)

Answers

Answer:

Step-by-step explanation:

f(3) = f(2) + f(1) = 5 + 4 = 9

f(4) = f(3) + f(2) = 9 + 5 = 14

f(5) = f(4) + f(3) = 14 + 9 = 23

Answer:

substituting n by 5 gives;

f(5)=(5-1)+(5-2)=7

I put it in quadratic form but i don’t know where to go from there. I got X = -1/20y^2 + 4y +12

Answers

ANSWER:

p = -5

STEP-BY-STEP EXPLANATION:

We have that the form of the equation of the parabola is the following:

[tex](y-k)^2=4p\cdot(x-h)[/tex]

In this case we have the following equation, we convert it into its correct form, just like this:

[tex]\begin{gathered} \mleft(x-8\mright)=-\frac{1}{20}\cdot\mleft(y+2\mright)^2 \\ (y+2)^2=-20\cdot(x-8) \end{gathered}[/tex]

We compare and calculate the value of p, just like this:

[tex]\begin{gathered} 4p=-20 \\ p=-\frac{20}{4} \\ p=-5 \end{gathered}[/tex]

Use square roots to solve the equation x2 = –64 over the complex .numbers. Select any solutions that apply.
an 8i
b -8
c -8i^2
d -8i

Answers

[tex]x^2=-64\implies x=\sqrt{-64}\implies x=\sqrt{-1\cdot 64}\implies x=\sqrt{-1}\cdot \sqrt{64} \\\\\\ x=\sqrt{-1}\cdot 8\implies x=i\cdot 8\implies x=8i[/tex]

Given f(x) = -3x + 1, solve for x when f(x) = −5.

Answers

Answer:

x=2

Step-by-step explanation:

-3x+1=-5

Subtract 1 from both sides.

-3x=-6

Divide -3 from both sides.

x=2

If f(x)=-5 and f(x)=-3x+1, x=2.

How to factorize this?
[tex]5x {}^{3} - 9x { }^{2} - 17x - 3[/tex]

Answers

The expression when factorized is (5x + 1)(x + 1)(x - 3)

How to factorize the expression?

From the question, the expression is given as

5x³ - 9x² - 17x - 3

Express 9x² as 5x² - 15x² + x²

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² - 17x - 3

Express -17x as x - 3x - 15x

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² + x - 3x - 15x - 3

Rearrange the terms

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² - 15x + x² + x - 3x - 15x - 3

Group the terms in 4's

5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x² - 15x) + (x² + x - 3x - 15x - 3)

Factorize each group

5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)

Factorize x² + x - 3x - 3

5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)

Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)

Answers

Answer:

[tex]0.72[/tex]

Explanation:

Here, we want to get the probability that the top card is not a heart card

Mathematically, the sum of the probability that an event will occur and that the event will not occur is 1

Let the event that a heart card is the top card be H

[tex]P(H)\text{ + P(H') = 1}[/tex]

We already have P(H) as 0.28

Thus:

[tex]\begin{gathered} 0.28\text{ + P(H') = 1} \\ P(H^{\prime})\text{ = 1-0.28} \\ P(H^{\prime})\text{ = 0.72} \end{gathered}[/tex]

What is the equation of the line that passes through the point (-6,-3) and has a slope of 0?

Answers

y=-3
Step-by-step explanation:
The equation for point-slope form of the equation is:
y - y1 = m(x-x1)
where m is the slope of the line and (x1,y1) is a point on the line.
you fill in the values for m(0), x1(-6), and y1(-3)
y+3=0(x-3) [This is the point-slope form of the equation of this line.]
y+3=0+0
y=0-3
often, y=0-3 will change to y=-3 (this will be the slope-intercept form)

10x-6=5y
Tttttttgfffffffffffffffd

Answers

Answer: I am guessing that you want to know what x and y equals

2 What is the slope of the line in the picture below?

Answers

[tex]\text{slope}=-\frac{1}{2}[/tex]

Explanation

if you know 2 points of a line you can easily find the slope using

[tex]\begin{gathered} \text{slope}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}[/tex]

Let

P1(-1,5)

P2(7,1)

replace,

[tex]\begin{gathered} \text{slope}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{1-5}{7-(-1)} \\ \text{slope}=\frac{-4}{7+1}=-\frac{4}{8}=-\frac{1}{2} \\ \text{slope}=-\frac{1}{2} \end{gathered}[/tex]

I hope this helps you

Find the equation of a line perpendicular to 4x+4y=32 that passes through the point (7,1)

Answers

The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .

In the question ,

it is given that

the required line is perpendicular to 4x + 4y =32

the slope of 4x + 4y =32

4y = -4x + 32

y = -x + 8

slope = -1

so the slope of the perpendicular line [tex]=[/tex] 1 .

the equation of the perpendicular line passing through (7,1) and slope as 1 is

(y - 1) [tex]=[/tex] 1 (x - 7)

y-1 = x-7

x - y = 7-1

x - y = 6

Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .

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Rational equations from algebra 2. Please provide steps. You don't have to solve all of the equations, any one of them will help. Thank you!

Answers

The rational equation is simplified to x² - 17x = 0

What is an algebraic expression?

An algebraic expression can simply be defined as an expression composed of factors, variables, terms, coefficients and constants.

These expression are also described as expressions consisting of arithmetic operations such as;

ParenthesesBracketMultiplicationAdditionSubtractionDivision, etc

Given the expression;

1/2 - 7/2x = 5/x

find the lowest common multiple

x - 7 /2x = 5/ x

cross multiply

x(x - 7) = 5(2x)

multiply through

x² - 7x = 10x

collect like terms

x² = 10x + 7x

x² - 17x = 0

Hence, the equation is x² - 17x = 0

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1) Define the variable you are using
2) Set up an equation to solve
3) Show all steps of solving the equation
5) Explain what your answer means in terms of the problem.

The number of cupcakes Chad can eat is 2 times the amount his sister can eat. On Chad’s
birthday Chad and his sister ate a total of 12 cupcakes? How many did Chad eat?

Answers

The number of cupcakes that Chad are is 8 cupcakes.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of cupcakes that Chad can buy be x.

The number of cupcakes Chad can eat is 2 times the amount his sister can eat. This will be 2x.

Therefore, the appropriate equation will be:

2x + x = 12

3x = 12

Divide

x = 12/3

x = 4

Chad = 2x = 2 × 4 = 8 cupcakes

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Translate the sentence into an inequality. A number b increased by 6 is less than or equal to -23. please help asap its due tomr

Answers

Answer: b+6 (less or equal to sign) -23

Step-by-step explanation: b increased by 6 is b+6

Answer: b+6[tex]\leq[/tex]-23 b[tex]\leq[/tex]-29

Step-by-step explanation:

Please help me!!!! Worth 20 points

Answers

In the probability distribution table x=76 and p(x) is 0.3.

Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.

now according to the properties of probability theory we know that sum of probabilities is 1.

so here to find the value of the probability of X corresponding to the value 76 we should use the following steps:

sum of given probabilities =(0.4+0.2+0.1) = 0.7required probability = 1 - sum of given probabilities = 1 - 0.7 = 0.3

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of random events. The value is expressed from zero to one. The calculus of probability is introduced in mathematics to predict the probability of events occurring. Probability basically means the degree to which something is likely to happen. It is a basic theory of probability that is also used in probability distribution, where the probability of the result of a random experiment is studied. To determine the probability of an event, we should first know the total number of possible outcomes.

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