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m_a_m_a [10]
3 years ago
8

How do you solve #4 with a proportion

Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0
The clothes weigh 14.77 kilograms.

Given:
Weight of suitcase = 50 pounds
Towels = 20% of weight
Shoes = 15% of weight
Clothes = 65% of weight

convert pounds to kilograms using proportion:

<u>pounds</u>        <u>2.2</u> = <u>50</u>
kilograms       1           x

2.2x = 50 ⇒ x = 50/2.2 ⇒ x = 22.73 kgs

Clothes : 22.73 kgs * 65% = 14.77 kgs
Towels  : 22.73 kgs * 20% =   4.55 kgs
Shoes   : 22.73 kgs * 15% =   3.41 kgs
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What are the solutions to the system of equations,<br> y=x+21<br> 2x+y=57
kondaur [170]

Answer:

(12,33)

Step-by-step explanation:

This system can be solved using the substitution method. This is where you replace one variable by another.

Step 1:

Plug in x+21 for the y

Step 2:

Combine like terms

2x+x+21=57\\3x+21=57

Step 3:

Subtract 21 from both sides

3x=36

Step 4:

Divide both sides by 3

x=12

Step 5:

Use the first equation and plug in 12 for x

y=12+21

y=33

Step 6:

Proof of work

2(12)+33=57\\24+33=57\\57=57

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