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KATRIN_1 [288]
2 years ago
9

Paul weighs 36 kg. Felix weighs half as much as Paul, and Frank weighs 4 kg more than Felix.

Mathematics
1 answer:
Gemiola [76]2 years ago
4 0

Answer: 76 kg

Step-by-step explanation:

Question wants to know what their total weight is.

Paul weighs 36kg.

Felix weighs half as much as Paul which means that Felix weighs:

= 36 / 2

= 18 kg

Frank weighs 4 kg more than Felix and Felix weighs 18kg. Frank therefore weighs:

=18 + 4

= 22 kg

Their total weight is therefore:

= 36 + 18 + 22

= 76 kg

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b)

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Step-by-step explanation:

<u>Complete Question:</u>

<em>The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n−2, where n is the length (in inches) of the nail.</em>

<em>a) Solve equation for n</em>

<em>b) Use part (a) to find length of nails with the following penny sizes: 3, 6, 10.</em>

<u>Solution:</u>

<u />

a)

We use algebra and take 2 to the other side and divide to solve for n. Shown below:

d=4n-2\\d+2=4n\\n=\frac{d+2}{4}

So,

n = (d+2)/4

b)

Since we have to find length of nails, we plug in 3, 6, and 10 respectively into d of the formula we found in part (a).

When d = 3

n = (3+2)/4 = 5/4 inches

When d= 6

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When d = 10

n = (10+2)/4 = 3 inches

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