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AlladinOne [14]
3 years ago
15

A game room has a floor that is 200 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 2 units:5 feet.

What are the dimensions of the scale drawing
Mathematics
1 answer:
LiRa [457]3 years ago
4 0
200 FEET
2 units/5 feet = x units/200 feet
x = 2/5 (200) = 400/5 = 80 units

Cross Multiplication
5x = 2(200)
x = 400/5 = 80 units

40 FEET
2 units/5 feet = x units/40 feet
x = 2/5(40) = 80/5 = 16

Cross Multiply
2/5 = x/40
5x=80
x = 80/5 = 16

Dimensions of Scale Drawing:
80units × 16units
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A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

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3 years ago
Mr. Rulaski gives $30 to Bailey and Jenny. If Bailey gets twice as much money as Jenny, how much will Jenny get?
Bond [772]
Total amount of money = amount Jenny receives + amount Bailey receives
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30 = 3j
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3 0
3 years ago
The variables x and y have a proportional relationship: when x is 5, y is 8.
Alenkasestr [34]

Answer:

1.6

Step-by-step explanation:

Since y = 8

And x = 5,

You divide both values by the X Value

8 divided by 5 = 1.6

5 divided by 5 = 1

the ratio is 1:1.6

So the constant is 1.6

6 0
2 years ago
I walk each day to school. By what percentage would I need to increase my usual average speed in order for the journey to take 2
lesya692 [45]

Answer:

25%

Step-by-step explanation:

Let v, t be the current average speed and the time taken to reach the school respectively.

As distance = speed x time, so,

distance, d=vt...(i)

Let V be the new average speed in order to to take 20% less time than t.

So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t

As distance is constant, so

d= V(0.8t)= 0.8Vt

hBy using equation (i), we have

0.8Vt = vt

0.8 V = v

V= v/0.8=1.25v

Therefore, the percentage increase in the average speed = \frac{V-v}{v}\times 100

=\frac{1.25v-v}{v}\times 100

=25%

Hence, the percentage increase in the average speed is 25%.

8 0
3 years ago
60 plus 18% ill give brainliest :)
aksik [14]

Answer:

70.8

Step-by-step explanation:

YOU'RE WELCOME

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