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leva [86]
3 years ago
12

Translate the following word problems into equations and solve.

Mathematics
1 answer:
vekshin13 years ago
6 0

Answer:

1.

Step-by-step explanation:

1. 2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

6x=24

x=4

6. 2x-2=x+12

2x-x=12+2

x=14

7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

5x=30

x=6

9. 2x+8=4(5-x)

2x+8=20-4x

2x+4x=20-8

6x=12

x=2

10. 2x-3=3(1+x)

2x-3=3+3x

2x-3x=3+3

-x=6

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Answer:

Amount required = 2,217,600

Step-by-step explanation:

Dimensions of the rooms are as follows;

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Room 2; 14 ft × 16 ft

Room 3; 12 ft × 14 ft

Perimeter of rooms;

P1 = 2(9 + 12) = 42 ft

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P3 = 2(12 + 14) = 52 ft

Total perimeter; P = 42 + 60 + 52 = 154 ft

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Thus, total area is;

A = 154 × 90

A = 13860 ft²

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3 years ago
The diameter of a sphere is 4 centimeters.
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The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.

V=4/3πr^3
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What percent of 150 is 9?
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One of the ways to find the answer is to find how much 1 percent of 150 is. To do that we just have to divide 150 by 100:

150 / 100 = 1.5

Now we can divide 9 by 1.5 to know how much percent of 150 it is:

9 / 1.5 = 6

Let's check it:

150 * 6% = 150 * 6/100 = 15 * 6/10 = 3 * 6/2 = 18/2 = 9

It's correct then :)
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Answer:

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Step-by-step explanation:

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