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enot [183]
3 years ago
10

36 boys complete a school task in 4 hours. How many boys would be required to complete the same task in 2¼ hours?​

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

Answer:

20

Step-by-step explanation:

If 36 boys can conplete a task in 4 hours, then 19.35 boys could do it in 2 and a fourth hours.

You can set up an equation

A fourth of an hour is 15 minutes, so,

36 is to 4 as x is to 2.15, or,

36=4 as X=2.15

Multiply 2.15 by 36 (77.4)

77.4 divided by 4= 19.35.

Of course, you cannot have 19.35 boys, so there must be 20.

Hope this helps!

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Cost of the current plan: $175
Number of devices: x
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Cost of the new plan is less than the current plan:
$94+($4.50/device)x<$175

Solving for x:
$94+($4.50/device)x-$94<$175-$94
($4.50/device)x<$81
(device/$4.50)($4.50/device)x<(device/$4.50)($81)
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A vineyard has 145 acres of Chardonnay grapes. A particular soil supplement requires 5.50 grams for every square meter of vineya
SashulF [63]

3230 kilograms of the soil supplement are required for the entire vineyard

<h3>Further explanation</h3>

Some units that need to be recalled are as follows :

<em>1 km = 1000 m = 10³ m</em>

<em>1 km² = 1000000 m² = 10⁶ m</em>

<em>1 km² = 247 acres</em>

<em>1 kg = 1000 g</em>

Let's tackle the problem now!

A vineyard has 145 acres of Chardonnay grapes.

145 ~ acres = \frac{145}{247} \times 1 ~ km^2

145 ~ acres = \frac{145}{247} ~ km^2

\boxed {145 ~ acres \approx 0.587 ~ km^2}

A particular soil supplement requires 5.50 grams for every square meter of vineyard.

1 ~ m^2 \rightarrow 5.50 ~ gram

1 ~ km^2 = 10^6 ~ m^2 \rightarrow 5.50 \times 10^6 ~ gram

1 ~ km^2 \rightarrow 5.50 \times 10^6 \times 10^{-3} ~ kg

\boxed {1 ~ km^2 \rightarrow 5.50 \times 10^3 ~ kg}

145 ~ acres = \frac{145}{247} ~ km^2 \rightarrow \frac{145}{247} \times 5.50 \times 10^3 ~ kg

145 ~ acres \rightarrow \frac{797500}{247} ~ kg

145 ~ acres \rightarrow 3230 ~ kg

<h2>Conclusion :</h2>

It required 797500/247 kg ≈ 3230 kg of the soil supplement for the entire vineyard

<h3>Learn more</h3>
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<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic

Keywords: Addition , Subtraction , Multiplication , Division , Number , Expression , Time , Duration , Write

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