Substitution for 4x+y=9 and y=-7

Answers

Answer 1
Answer:


{y=-7

{4x+y=9            Substitute y.


4x+(-7)=9

4x-7=9        /+7

4x=16     /:4

x=4

Solution; (4; -7)

Answer 2
Answer: 4x + y = 9

y = -7

Plug it in:

4x - 7 = 9

Add 7 to both sides:

4x = 16

Divide 4 to both sides:

x = 4

Plug this back into the equation:

4x + y = 9

4(4) + y = 9

16 + y = 9

Subtract 16 to both sides:

y = -7

So our solution is (4, -7)

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WORTH 25 POINTS PLEASE HELP!!!a glass box shaped like a rectangular prism has a width 7 inches, length 9 inches, and height 12 inches. It's being shipped in a larger box with width 10 inches, length 10 inches, and height 15 inches. the space between the glass boz and the shipping box will be filled with styrofoam peanuts. how many cubic inches of space will contain styrofoam peanuts? show all work

Answers

The space contained by Styrofoam peanuts is 744 cubic inches.

What is prism?

In three-dimensional space, a prism is a polyhedron where two ends are similar.

Given:

A glass box shaped like a rectangular prism has a width of 7 inches, length 9 inches, and height 12 inches.

It's being shipped in a larger box with width 10 inches, length 10 inches, and height 15 inches.

The space between the glass box and the shipping box will be filled with styrofoam peanuts.

The space contained by Styrofoam peanuts,

= The volume of the shipping box - the volume of the glass box.

=(10 x 10 x 15) -  7 x 9 x 12

= 744 cubic inches.

Therefore, the contained space is 744 cubic inches.

To learn more about the prism;

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How to simplify 3t(t-5) + 6t 2

Answers

Answer: 3t^2-9t+2

Step-by-step explanation: im assuming you meant +2. First you need to distribute 3t^2-15t+6t+2 and then you need to combine like terms.

A liter is equal to 100 centiliters. Is a centiliter agreater measure than a milliliters? Explain.

Answers

Yes, 10 mL = 1 cL. Hope this helped.

A item cost $470 before tax, and the sales tax is 14.10. Find the sales tax rate. Write your answer as a percentage

Answers

Answer: 3%

Step-by-step explanation: when we multiply the number 470 by .03 and get 14.1 which is the same as 14.10 and this is the answer.

Shirts are on sale for 30% off. The original price of one shirt is $15. What is the total cost, in dollars, of 2 of these shirts at the sale price, including a 7% sales tax? Enter your answer in the space provided.

Answers

Answer:

 =22.47

Step-by-step explanation:

We are buying 2 shirts

Before discount  2*15 = 30

We get 30% off.  That means we pay 70 percent of the price

$30 * 70% =

30 *.7

21

The cost of the shirts before tax is 21 dollars

Tax is the cost of the shirts after discount  times the tax rate

tax = 21 * 7%

tax = 21 *.07

tax =1.47

We add the tax to the cost of the shirts

Final cost = discount price + tax

                =21+1.47

                =22.47

Final answer:

The total cost of 2 shirts on sale, including the 7% sales tax, is $22.47.

Explanation:

The subject of this question is Mathematics, specifically a problem of applying percentage for discounts and tax. To calculate the sale price of a single shirt, you need to take 30% off the original price. Calculate 30% of $15, which is $4.50. Subtract this from the original price, which leaves you with $10.50 as the sale price of one shirt. However, you want to buy 2 shirts, so the cost before tax is $21. Next, you need to calculate the sales tax. Multiply $21 by 7%, which is $1.47. Add the $1.47 sales tax to the $21 cost before tax, and you get the final total cost: $22.47. The provided reference is not relevant to this question.

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What is the side length of 90,000 square miles and 216 square miles

Answers

The side length of 90,000 square miles is 300 mi. The side length of 216 square miles is 14.6969385 mi. You just square root it.
1. sqrt(90,000) = sqrt(9 x 10,000) = 300.

2. sqrt(216) = sqrt(6 x 6 x 6) = 6^(3 / 2) ~ 14.7.