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serg [7]
3 years ago
14

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

m are 1 7/8 by 2 1/2 inches. What is the area of her actual living room in square feet? ​
Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

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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andriy [413]
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= b^2cxya + 3a^2b + 9xy/3xyab

2. (5/3y) + 2y - 12
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3. ?

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4 0
2 years ago
What is x if 4x-79=3x-29
elena-14-01-66 [18.8K]
<em>4x-79=3x-29</em>

<em>Move the terms with "x" on the left, and the numbers on the right.</em>

<em>4x-3x=79-29</em>
<em>x=50</em>
6 0
3 years ago
Read 2 more answers
S - 10,000 = 3,753<br><br>A. s = 13,573<br><br>B. s = 13,753<br><br>C. s = 10,375
Lesechka [4]

Answer:

B. s = 13753

Step-by-step explanation:

s - 10000 = 3753

To find value of s, add both sides by 10000

s - 10000 = 3753

   +10000    +10000

-----------------------------------

s = 13753

6 0
3 years ago
How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain
Debora [2.8K]

By using the triangular inequality, we will see that no triangles can be made with these side lengths.

<h3>How many triangles can be made with these side lengths?</h3>

Remember that for any triangle with side lengths A, B, and C, the triangular inequality must be true.

This means that the sum of any two sides must be larger than the other side.

A + B > C

A + C > B

B + C > A.

For the given side lengths, we will have:

8 in + 12 in > 24 in

8in + 24 in > 12 in

12 in + 24 in > 8 in.

Now, notice that the first inequality is false. So the triangular inequality is not meet. Then we can't make a triangle with these side lengths.

So we can make 0 unique triangles with these side lengths.

If you want to learn more about triangles:

brainly.com/question/2217700

#SPJ1

5 0
2 years ago
A cheetah ran 230 feet in 1.932 seconds. What is the cheetah's speed in miles per hour?
Bumek [7]

Answer:

The answer to your question is speed = 81.5 mi/h

Step-by-step explanation:

Data

distance = 230 ft

time = 1.932 s

speed = ? mi/h

Process

1.- Convert the distance to mi

                1 mile ----------------- 5280 ft

                 x        ----------------- 230 ft

                 x = (230 x 1) / 5280

                 x = 0.044 mi

2.- Convert time to hours

                 1 h    ------------------ 3600 s

                  x      ------------------ 1.932 s

                        x = (1.932 x 1) / 3600

                        x = 0.00054 h

3.- Calculate the speed

speed = distance / time

-Substitution

speed = 0.044/ 0.00054

-Result

speed = 81.5 mi/h

         

4 0
4 years ago
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