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3 years ago

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then.

1 answer:

5 0

R = 3S

R + 6 = 2 (S+6)

Substitute the first equation in the second one:

(3S) + 6 = 2 (S + 6)

3S + 6 = 2S + 12

S + 6 = 12

R = 18
S = 6

Check:

R is 3 times S now.

In 6 years, R will be (18 + 6) = 24, S will be (6 + 6) = 12.

24 = 2 x 12 yay

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Step-by-step explanation:

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2 years ago

95 points Simplify (4^9/4^3)^5 Show your work for full credit

dexar [7]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

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Nataly_w [17]

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2 years ago

A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 22 inches and a height of 66 inches

icang [17]

Answer:

The height of the new cones will be 16.5 inches.

Step-by-step explanation:

We know that,

The volume of a cone is,

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

Where, r is the radius of the cone,

h is the height of the cone,

In the original cone,

r = 22 inches,

h = 66 inches,

Thus, the volume would be,

$V_1=\frac{1}{3}\pi (22)^2(66)$

Also, for the new cone,

r = 44 inches,

Let H be the height,

So, the volume of the new cone would be,

$V_2=\frac{1}{3}\pi (44)^2(H)$

According to the question,

$V_2=V_1$

$\implies \frac{1}{3}\pi (44)^2(H)=\frac{1}{3}\pi (22)^2(66)$

$\implies H=\frac{22^2(66)}{44^2}=(\frac{22}{44})^2\times 66 = \frac{66}{4}=16.5$

Hence, the height of the new cones will be 16.5 inches.

7 0

3 years ago

Are the ratios 1:2 and 9:18 equivalent? yes no

alisha [4.7K]

Answer:

Yes

Step-by-step explanation:

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3 years ago