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3 years ago

Need help with this stuck on another problem

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

5 0

just remove perenthesis

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Simplify the expression. (3x/y)^-3

AysviL [449]

Answer:

y^3/(27 x^3)

Step-by-step explanation:

Simplify the following:

((3 x)/y)^(-3)

((3 x)/y)^(-3) = (y/(3 x))^3:

(y/(3 x))^3

Multiply each exponent in y/(3 x) by 3:

(y^3)/((3 x)^3)

Multiply each exponent in 3 x by 3:

y^3/(3^3 x^3)

3^3 = 3×3^2:

y^3/(3×3^2 x^3)

3^2 = 9:

y^3/(3×9 x^3)

3×9 = 27:

Answer: y^3/(27 x^3)

6 0

3 years ago

Can someone please help me it's worth five points

Brilliant_brown [7]

The formula of a volume of a cone:

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

We have:

$r=12cm,\ h=8cm$

Substitute:

$V=\dfrac{1}{3}\pi\cdot12^2\cdot8=\dfrac{1}{3}\pi\cdot144\cdot8=\pi\cdot48\cdot8=384\pi\ cm^2\approx384\cdot3.14=1205.76\ cm^3\approx1206\ cm^3$

Answer: 1206 cm³

7 0

2 years ago

4. Suppose that you have an enormous grapefruit that is 92% water (by weight). The grapefruit weights 100 pounds. If the water c

Anton [14]

Answer:

80 pounds.

Step-by-step explanation:

Let W₁ be the initial weight of water in the grapefruit, W₂ be the weight of water in the grapefruit after evaporation, and M be the total weight of the grapefruit after evaporation. Assuming that, originally, the grapefruit weighed 100 pounds with a 92% water content and the weight of the "non-water" part of the fruit (100 - W₁) does not change. The final weight of the grapefruit (M) is given by:

$W_1=0.92*100=92\\W_2=0.90*M\\W_2+(100-W_1) = M\\W_2=M-8\\(1-0.9)M=8\\M=80$

The grapefruit now weighs 80 pounds.

8 0

2 years ago

A sailboat rental company charges a fee of $78.75 plus $80.25 per hour to rent a sailboat. A second rental company charges custo

Varvara68 [4.7K]

Answer:

3.69 hours

Step-by-step explanation:

y = 80.25x + 78.75

y = 95.75 + 40

85.25x + 78.75 = 95.75 + 40

-85.25x -40 -85.25x -40

38.75/10.5 = 10.5x/10.5

3.690476190..... = x

rounding

3.69 = x

4 0

3 years ago

The soccer team at your school wants to spray paint a design on the middle of the playing field. the design will include this so

stiks02 [169]

Hmm that’s tuff I have no idea

6 0

1 year ago