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3 years ago

9

Ali bought 4 CDs that were each the same price. Including sales tax, he paid a total of 43.60 dollars. Of that total, 2.80 dolla

rs was tax.what was the price of each CD before tax?

1 answer:

Serggg [28]3 years ago

3 0

$10.20 for each CD before tax.
Explanation:
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If 30,000 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the

Ilya [14]

Answer:

The largest possible volume of the box is 500,000 cm³

Step-by-step explanation:

Let the a side of the square base = x

let the height of the box, = h

volume of the box, v = hx²

Surface area of the box, A = 4hx + x²

30000 = 4hx + x²

make h the subject of the formula;

$4hx + x^2 = 30000\\\\4hx = 30000 -x^2\\\\h = \frac{30000 -x^2}{4x}$

Volume of the box, V = hx²

$V = h*x^2 = (\frac{30000-x^2}{4x} )x^2\\\\V = \frac{30000x^2 -x^4}{4x} \\\\V = \frac{30000x^2}{4x} - \frac{x^4}{4x} \\\\V = 7500x- \frac{x^3}{4}$

At maximum value of V, dv/dx = 0

$\frac{dv}{dx} = 7500 - \frac{3}{4} x^2\\\\0 = 7500 - \frac{3}{4} x^2\\\\\frac{3}{4} x^2 = 7500\\\\x^2 = 10000\\\\x = \sqrt{10000} \\\\x = 100$

Substitute in the value of x to determine the maximum volume, V;

$V = 7500x - \frac{x^3}{4} \\\\V = 7500(100) - \frac{1}{4} (100)^3\\\\V = 750000- 250000\\\\V = 500,000 \ cm^3$

Therefore, the largest possible volume of the box is 500,000 cm³

4 0

4 years ago

Please show work and thank you

larisa86 [58]

Answer:

x = 6

Step-by-step explanation:

A 45-45-90 isosceles right triangle has side lengths in the ratios ...

1 : 1 : √2

__

That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.

x = (√2)×3√2 = 3×2

x = 6

6 0

3 years ago

- 4 = -17 + x<br> - 4 = - 17 + x

leva [86]

Answer:

x = 13

Step-by-step explanation:

- 4 = -17 + x

Add 17 to each side

- 4+17 = -17+17 + x

13 =x

7 0

4 years ago

Read 2 more answers

Find the area of the rectangle with the given base and height.

gulaghasi [49]

Answer: Area = 108 in. or 3/4 ft.

Step-by-step explanation: The formula for the area of a rectangle is l•w (length times width).

To get the area, you need to convert the units of measurement to one or the other (either inches or feet) because you cannot multiply them unless they are the same.

To get the area in inches, you convert 3 ft. to inches which is 36 inches, and then multiply it by 3 inches. You will get that the area = 108 inches.

To get the area in feet, you convert 3 inches to feet which is 1/4 (or 0.25) feet and then multiply it by 3 feet which gives you area = 3/4 ft. (or 0.75 ft.). Hope this helps.

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4 years ago

What best describes the relationship between the lines with equations y=3x+2y=3x+2 and y=−2x+14y=−2x+14?

Luda [366]

They both intercept at a single point, in a consistent system.

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3 years ago