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2 years ago

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The school PTA invested 200.00 for the DJ. If they only made 125.00 on the dance, their profit would be -75.00? What does this m

ean?
A : The PTA made $200.00
B : The PTA broke even (no gain/no loss)
C : The PTA made $325.00
D : The PTA lost $75.00

1 answer:

Lerok [7]2 years ago

7 0

Answer:

The answer is D

Step-by-step explanation:

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Angle math Hw. Pls help

timurjin [86]

Answer:

x = 45°

Step-by-step explanation:

We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)

⇒ x + 115 = 160

⇒ x = 160 - 115

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The maximum amount you can spend for renting a motor scooter is $50. The rental fee is $12 and the cost per hour is $9.50. Solve

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The maximum number of hours for which you can rent the scooter is: 4 hours

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According to the question;

The maximum amount you can spend for renting a motor scooter is $50
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The inequality to determine the maximum number of hours you can rent the scooter is;

$12 + $9.50h <= $50

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2 years ago

A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

monitta

Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=6\ cm$

$h=12\ cm$

substitute

$V=\frac{1}{3}\pi (6)^{2}(12)$

$V=144\pi\ cm^{3}$

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

$V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}$

therefore

The portion of the volume of the cup that is filled with water is

$\frac{1}{8}$

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