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garri49 [273]
3 years ago
6

-4r-8(r-6)=7(5r-1)+8

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0

Answer:

r = 1

Step-by-step explanation:

In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.

Distributive Property:

a(b+c) = ab + ac

Now, lets solve this:

-4r-8(r-6)=7(5r-1)+8\\-4r-8r+48=35r-7+8\\-12r+48=35r+1\\48-1=35r+12r\\47=47r\\r=\frac{47}{47}\\r=1

As we have seen the value of r is "1"

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Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

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

we have

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step 2

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Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

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

we have

r=8/2=4\ in ----> the radius is half the diameter

h=8\ in

assume

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substitute

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step 2

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{3,-1}

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{3,-1}

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