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3 years ago

A boy weighs 31.5 kilograms. how much does he weigh in pounds? use the following conversion: 1 kilogram is 2.2 pounds

Mathematics

2 answers:

ipn [44]3 years ago

7 0

Answer: The required weight of the boy in pounds is 69.3 pounds.

Step-by-step explanation: Given that a boy weighs 31.5 kilograms.

We are to find the weight of the boy in pounds.

Also, given that 1 kilogram = 2.2 pounds.

According to the given information, we have

the weight of the boy = 31.5 kilograms.

Therefore, the weight of the boy in pounds is given by

$31.5\times 2.2=69.3.$

Thus, the required weight of the boy in pounds is 69.3 pounds.

mario62 [17]3 years ago

4 0

If 1 kilogram equals 2.2 pounds, how many pounds will 31.5 kilograms equal?
31.5*2.2 or 69.3 pounds.

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i have 30 coins, all nickels, dimes and quarters, worth $4.60. there are two more dimes than quarters.. how many of each kind of

Oliga [24]

Answer:

Step-by-step explanation:

I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have.

let quarters be x

dimes = x+2

...

dimes + quarters = x+x+2=2x+2

...

nickels = 30-(2x+2)

...

5(30-(2x+2))+10(x+2)+25x=460

5(30-2x-2)+10x+20+25x=460

150-10x-10+10x+20+25x=460

160+25x=460

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25x=460-160

25x=300

/25

x=300/25

x=12 ---- quarters

x+2= 12+2=14 dimes

30-(2x+2)=4 nickels

...

check

4*5+14*10+12*25=20+140+300=460

4 0

1 year ago

What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex

Nonamiya [84]

Combine the terms by multiplying into a single fraction.

$\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }$

Find the common denominator.

$\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14 }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14 }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14 }$

Combine the multiplied terms into a single fraction

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14 }$

Find the common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4} }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4} }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4} }$

Eliminate the denominators of the fractions.

$\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4} }$

Cancel the multiplied terms that are in the denominator.

$\bf{2(5x-14)=3x+56}$

To distribute.

$\bf{10x-28=3x+56 }$

Add 28 to both sides.

$\bf{10x-28+28=3x+56+28 }$

Simplify

$\bf{10x=3x+84 }$

Subtract 3x from both sides.

$\bf{10x-3x=3x+84-3x }$

Simplify

$\bf{7x=84 }$

Divide both sides by the same factor.

$\bf{x=\dfrac{84}{7} }$

Simplify

$\bf{x=12 \ \ \ === > \ \ \ Answer}$

↓

<h3>Verification</h3>

Let x=12.

$\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3\times12}{4}+14 }$
$\bf{30-7=\dfrac{36}{4}+14 }$
$\bf{30-7=9+14 }$
$\bf{23=9+14 }$
$\bf{23=23}$

Checked ✅

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