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Ronch [10]
2 years ago
6

three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks wer

e left. how many bricks were there in the original pile?​
Mathematics
1 answer:
lara31 [8.8K]2 years ago
4 0

Answer:

200 Bricks

Step-by-step explanation:

1/3 of the bricks were not used(which was 50 bricks), meaning that 3/3 is 150 bricks of the pile. Since 150 is 3/4 of the original pile, that means that there was 200 bricks at the beginning.

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Write a system of equations to describe the situation below, solve using elimination.
Sedbober [7]

Answer:

The cost of hardbook is $9 and cost of paperback is $5.

Step-by-step explanation:

Let x be the price for hardback book and y be the price for paperback book.

Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.

We can write the equation as:

42x + 64y = 698

He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.

We can write the equation as:

42x + 58y = 668

We have to use the elimination method to solve the two equations.

We eliminate x by subtracting the two equations.

42x + 64y-(42x + 58y) = 698 - 668\\\Rightarrow 6y = 30\\\Rightarrow y = 5\\42x + 64(5) = 698\\\\\Rightarrow x = \displaystyle\frac{698 - 64(5)}{42}\\\\\Rightarrow x = 9

Thus, the cost of hardbook is $9 and cost of paperback is $5.

8 0
3 years ago
Find the difference (20m+3)-(7m-5)
xz_007 [3.2K]

Answer:

Simplifying

(20m + 3) + -1(7m + -5) = 0

Reorder the terms:

(3 + 20m) + -1(7m + -5) = 0

Remove parenthesis around (3 + 20m)

3 + 20m + -1(7m + -5) = 0

Reorder the terms:

3 + 20m + -1(-5 + 7m) = 0

3 + 20m + (-5 * -1 + 7m * -1) = 0

3 + 20m + (5 + -7m) = 0

Reorder the terms:

3 + 5 + 20m + -7m = 0

Combine like terms: 3 + 5 = 8

8 + 20m + -7m = 0

Combine like terms: 20m + -7m = 13m

8 + 13m = 0

Solving

8 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 13m = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 13m = 0 + -8

13m = 0 + -8

Combine like terms: 0 + -8 = -8

13m = -8

Divide each side by '13'.

m = -0.6153846154

Simplifying

m = -0.6153846154Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Subtract. (4/5p+1/2)-(1/4p-3) <br><br> A: 21/20p-5/2 <br><br> B: 1/5p-7/2 <br><br> C: 11/20p+7/2
Leto [7]

Answer:

A

Step-by-step explanation:

I think it's A because it mostly multiplies then adds and subtracts so you get your answer doing this

8 0
2 years ago
Solve:<br>i)x+y=5<br>ii)x-y=3<br>iii)2x+y=7<br>iv)3x-2y=0​
Ulleksa [173]

Answer:

I) X+Y

when X=0

0+y=5

Y=5

When Y=0

X+0=5

X=5

(X,y)=(5,5)

(ii) X-Y=3

When X=0

0-Y=3

Y=-3

When Y=0

X-0=3

X=3

(X,Y)=(3,3(

(III) 2x+Y=7

when X=0

0+Y=7

Y=7

when Y=0

2x+0=7

2x=7

X=7/2 or 3.5

(X,Y)=(3.5,7)

(Iv)

3X-2Y=0

when X=0

0-2Y=0

-2Y=0

Y=0

When Y=0

3x-0=0

3X=0

X=0

(X,Y)=(0,0)

5 0
2 years ago
Just need a step-by-step on how to do it
blsea [12.9K]

Answer:

area of the shape is 12,6 5 2

3 0
1 year ago
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