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tester [92]
3 years ago
5

Solving Equations ve x + 14 = 7x + 32 - 3x

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

-6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+14=7x+32−3x

x+14=7x+32+−3x

x+14=(7x+−3x)+(32)(Combine Like Terms)

x+14=4x+32

x+14=4x+32

Step 2: Subtract 4x from both sides.

x+14−4x=4x+32−4x

−3x+14=32

Step 3: Subtract 14 from both sides.

−3x+14−14=32−14

−3x=18

Step 4: Divide both sides by -3.

−3x/−3=18/−3

x=−6

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A box of nails weighs 130 pounds when it is 2/3 full. It weighs 74 pounds when it is 3/8 full. What is the weight of the box?
NeTakaya
Let the weight of the full Volume of nails in the box be W.
Let the weight of the box be B.

2/3 W  + B =  130 ........i          From the first statement.
3/8 W  + B =      74 ......ii         From the second statement.

Equation (i)  Minus (ii)

2/3 W  - 3/8 W + B  - B =  130 - 74
(16W  - 9W) / 24                 = 56

7W / 24  =  56.
W        =  56 * 24 / 7
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Substituting V = 64 in equation (i)
2/3 W  + B =  130
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2 * 64  + B =  130
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Therefore, weight of box, B = 2 pounds.

7 0
4 years ago
A circular swimming pool is 21 feet in diameter. What is the circumference
meriva

Answer:

66 feet

Step-by-step explanation:

diameter = 21 feet

circumference of circle = 2πr or πd

circumference of swimming pool = 22/7 * 21

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Hope this year is useful!!

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3 years ago
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