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kap26 [50]
3 years ago
14

Find two numbers with a sum of 20 and a difference of 14

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Find two numbers with a sum of 20 and a difference of 14


Make two equations

X+Y=20

X-Y=14


Now add x since y cancels out and add 20+14 To end up with

2x=34


Now divide 2 both sides to get x alone

2x/2=34/2


X=17


Now substitute x answer to first equation and solve for y

17+y=20


Subtract 17 both sides

Y= 3

Your two numbers are

3 and 17

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Rachel has an 80:1 scale drawing of the floor plan of her house. On the floor plan, the dimensions of her rectangular living roo
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208⅓ ft²

Step-by-step explanation:

The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.

Calculate the width:

                                                                                     w = 80 × 1⅞

Convert the mixed number to an improper fraction     = 80 × 15/8

Cancel the 8s                                                                  = 10 × 15

                                                                                        = 150 in

Convert inches to feet                                                   = 150/12  

Convert the improper fraction to a mixed number      = (144 + 6)/12

                                                                                        = 12⁶/₁₂

Reduce the fraction to lowest terms                             = 12½ ft

Calculate the length

l = 80 × 2½  = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12

l = 16⁸/₁₂ = 16⅔ ft

Calculate the area

A = lw

A = 16⅔ × 12½

Convert the mixed numbers to improper fractions

A = 50/3× 25/2

Cancel the 2s

= 25/3 × 25

Multiply numerators and denominators                        

= 625/3

Convert the improper fraction to a mixed number    

= (624 + 1)/3

= 208⅓ ft²

The area of Rachel's living room is 208⅓ ft².

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3 years ago
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