Suzy buys 2 shirts and 2 pairs of pants for 42 dollars at the store. Annette buys 3 shirts and 1 pair of pants for 37 dollars.

Mathematics

1 answer:

balandron [24]3 years ago

6 0

Answer:

Shirts: $8

Pants: $13

Step-by-step explanation:

2 shirts and 2 pairs of pants costs $42.

2x + 2y = 42

3 shirts and 1 pair of pants costs $37.

3x + y = 37

Use substitution to solve. Rearrange the second equation so that it is equal to y. Plug in the value for y into the first equation.

3x + y = 37

y = 37 - 3x

2x + 2y = 42

2x + 2(37 - 3x) = 42

2x + 74 - 6x = 42

74 - 4x = 42

-4x = -32

x = 8

Now that you have the value for x, solve for y using one of the equations. I will use the first equation, but you can use the other one and still get the right answer.

2x + 2y = 42

2(8) + 2y = 42

16 + 2y = 42

2y = 26

y = 13

The shirts cost $8, and the pants cost $13.

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Answer:

113.04, 4, 452.16
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Step-by-step explanation:

When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:

B = πr² = 3.14×r²

In the second figure, the radius is half the diameter, so is 5 units.

The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.

V = 113.04 · 4

V = 452.16 units³ . . . showing how the numbers are used in the first figure