3.

Mathematics

1 answer:

Paladinen [302]4 years ago

3 0

Answer:

quarters are 20 in number.

Step-by-step explanation:

Let <em>d</em> represent dimes

Let <em>q</em> represent quarters

d + q = 35

q = d+5

d+d+5=35

2d=35-5

2d =30

d = 30/2

therefore dimes =15

Substitute d for 15 to solve for q;

q=15+5

therefore quarters are 20 in number.

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What is the slope of the line that passes through (-4, 5) and (2, -3)?

ella [17]

Answer:

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Step-by-step explanation:

Use the Slope formula...

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8 0

3 years ago

On a rectangular piece of cardboard with perimeter 10 inches, three parallel and equally spaced creases are made (see Figure 1).

salantis [7]

<h3>Answer:</h3>

x = 5/6 in ≈ 0.83 in
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<h3>Explanation:</h3>

The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).

The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...

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The corresponding decimal values of x and volume are ...

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... v ≈ 1.16 in³