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Kisachek [45]
3 years ago
5

Maya and Mabel are inspecting an 80:1 scale floor plan of their new house. The dimensions of the living room on the scaled floor

plan are 1- 7/8 inches by 2- 1/2 inches. What is the area of their real living room in square feet?
Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

208 ⅓ ft²

Step-by-step explanation:

1⅞ = 15/8 inches ÷ 12

= 5/32 feet on map

Actual = 5/32 × 80

= 25/2 feet

2½ = 5/2 inches ÷ 12

= 5/24 feet on map

Actual = 5/24 × 80 = 50/3

Actual area:

25/2 × 50/3

= 625/3 ft²

= 208 ⅓ ft²

You might be interested in
A 34-foot pole casts a 30-foot shadow. At the same time, a nearby tree casts a 24-foot shadow. How tall is the tree?
artcher [175]

Answer:

27.2 ft

Step-by-step explanation:

Let's set up a ratio that represents the problem:

Object's Height (ft) : Shadow (ft)

Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.

34 : 30

Find the unit rate:

The unit rate is when one number in a ratio is 1.

Let's make the Shadow equal to one by dividing by 30 on both sides.

Object's Height (ft) : Shadow (ft)

34 : 30

/30  /30

1.13 : 1

Now, let's multiply by 24 on both sides to find the height of the tree.

Multiply:

Object's Height (ft) : Shadow (ft)

1.13 : 1

x24  x24

27.2 : 24

Therefore, the tree is 27.2 feet tall.

7 0
3 years ago
A rectangle has a height of 4x ^ 3 width of x ^ 3 + 3x ^ 2 + 2x . Express the area of the entire rectangle .
astra-53 [7]

Answer:

4x^6+12x^5+8x^4

Step-by-step explanation:

To find the area of a triangle, you need to multiply the width by the height. In this case:

(4x^3)(x^3+3x^2+2x)=\\4x^6+12x^5+8x^4

Hope this helps!

6 0
3 years ago
Two cars travel along a highway at the same speed.
Mazyrski [523]

Answer:

30 mins

Step-by-step explanation:

<em>speed = distance/ time </em>

speed of car A

= 20/ 12 km/ min

= 5/ 3 km/ min

also, speed of car A = speed of car B

speed of car B = 5/ 3 km/ min = 50km / time taken (in mins)

\frac{5}{3}  =  \frac{50}{t}

5t  = 150

t = 30

=> t = 30 mins

6 0
3 years ago
What is the value of x in the equation 1,331x with the exponent of 3 -216 =0
dimulka [17.4K]
The answer is x=6/11.
Tiger Algebra is a really good tool for algebra if you need some help.
Hope that helped! :)
4 0
3 years ago
2|3x + 5| = -10 how break it down
iren2701 [21]
2|3x + 5| = -10 . Divide both sides by 2:

|3x + 5| = -5 ===>3x+5=-5 & -3x-5=-5 In both cases x=0 
6 0
3 years ago
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