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3 years ago

A box of nails weighs 130 pounds when it is 2/3 full. It weighs 74 pounds when it is 3/8 full. What is the weight of the box?

1 answer:

7 0

Let the weight of the full Volume of nails in the box be W.
Let the weight of the box be B.

2/3 W + B = 130 ........i From the first statement.
3/8 W + B = 74 ......ii    From the second statement.

Equation (i) Minus (ii)

2/3 W - 3/8 W + B - B = 130 - 74
(16W - 9W) / 24    = 56

7W / 24 = 56.
W = 56 * 24 / 7
W      = 192 Pounds.

Substituting V = 64 in equation (i)
2/3 W + B = 130
2/3 * 192 + B = 130
2 * 64 + B = 130
128 + B = 130
B = 130 -128 = 2.

Therefore, weight of box, B = 2 pounds.

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2 years ago

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2 years ago

A typical marathon is 26.2 miles. Allan averages 12 kilometers per hour when running in marathons. Determine how long it would t

Natali [406]

Answer:

The time taken by Allan to complete the marathon 3.5 hours

Step-by-step explanation:

Given as :

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So, d = 26.2 × 1.609 km

i.e d = 42.155 kilo meter

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Let the time taken by Allan to complete the marathon = t hours

Now, ∵ Time = $\dfrac{\textrm Distance}{\textrm Speed}$

Or, t = $\dfrac{\textrm d}{\textrm s}$

Or, t = $\dfrac{\textrm 42.155 km}{\textrm 12 kmph}$

or, t = 3.512 hours

So , The time taken by Allan to complete the marathon = t = 3.5 hours

Hence, The time taken by Allan to complete the marathon 3.5 hours Answer

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2 years ago

What is 11.5 of 350?

Tresset [83]

11.5% × 350 =

(11.5 ÷ 100) × 350 =

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3 years ago

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