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andreyandreev [35.5K]
2 years ago
5

Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.

Mathematics
1 answer:
zepelin [54]2 years ago
3 0

Answer:

both are equal is 0

Step-by-step explanation:

After substituting, the answer is 0 to both

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Answer:5

5 feet 7 inches

Step-by-step explanation:

first add all of the given together and then divide what you get by the number of terms given

(5'2+5'3+5'4+ 5'5+5'6+ 5'7+ 5'8+5'9+5'9,+5'10+5'11+5'12)/12 = 5'7 11/64 inches

then divide 11 by 64 on a calculator and then round the decimal you get to the nearest tenth which gives you the answer 5 feet 7 inches.

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You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1
Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is 368\ ft^2

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) \$75

Part 5) The area of the floor is 126\ ft^2

Part 6) \$850.5

Part 7) \$1,008

Part 8) \$472.5

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

so

The perimeter of the floor is

P=2(9+14)=46\ ft

The area of the walls is

46(8)=368\ ft^2

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal

Remember that you can't buy a fraction of gallon

so

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

368(2)=736\ ft^2

using proportion

\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal

Remember that you can't buy a fraction of gallon

so

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

so

3(25)=\$75

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

A=(9)(14)=126\ ft^2

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

so

126(6.75)=\$850.5

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

so

126(8.00)=\$1,008

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

so

126(3.75)=\$472.5

5 0
3 years ago
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