Mr castle shares out 64 marbles between emily and asif in the ratio 7:1 how many marbles does each child get

Mathematics

1 answer:

Tatiana [17]3 years ago

4 0

Answer:

<h2>Emily: 72 marbles</h2><h2>Asif: 8 marbles</h2>

<em>Step-by-step explanation:</em>

first lets find in how many shares is the total amount of marbles divided into:

7+1=8

now, lets find how many marbles are in each share:

64/8=8

now that we know that each share of marbles contains 8 marbles, we can find how many each child got:

Emily got 7 shares: 8*7= 72 marbles

Asif got 1 share: 8*1= 8 marbles

Hence,

<h3><em>Emily got 72 marbles, while Asif got 8 marbles</em></h3>

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<h3>Answer: Approximately 6.4 units</h3>

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Explanation:

The origin is the point (0,0)

Use the distance formula to find the distance from (0, 0) to (4, -5)

Let

$(x_1,y_1) = (0,0)\\\\(x_2,y_2) = (4,-5)\\\\$

be our two points. Plug those values into the distance formula below and use a calculator to compute

$d = \sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}\\\\d = \sqrt{\left(0-4\right)^2+\left(0-(-5)\right)^2}\\\\d = \sqrt{\left(0-4\right)^2+\left(0+5\right)^2}\\\\d = \sqrt{\left(-4\right)^2+\left(5\right)^2}\\\\d = \sqrt{16+25}\\\\d = \sqrt{41} \ \text{ exact distance}\\\\d \approx 6.40312 \ \text{ approximate distance}\\\\d \approx 6.4\\\\$