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Nastasia [14]
2 years ago
13

What is the solution of 5/2-7= 3/4x+14,

Mathematics
1 answer:
Sidana [21]2 years ago
3 0

Answer:

D) x = 12

Step-by-step explanation:

Given:

\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}

1. Multiply both sides by 4

\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56

2. Subtract 3x from both sides

\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56

3. Add 28 to both sides

\sf{7x-28+28=56+28}\\\\\implies 7x=84

4. Divide both sides by 7 to isolate the variable:

\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12

Learn more here:

brainly.com/question/27844194

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It takes a day to build 2/3 of a model airplane gow many model airplanes can be built in 6 days​
Sedaia [141]

Answer:

4 airplanes

Step-by-step explanation:

1 = 2/3

6 = x

cross multiply

x = 6 × 2/3

therefore x = 4

5 0
2 years ago
Read 2 more answers
$26,876 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest e
Andre45 [30]

9514 1404 393

Answer:

  • $14,747 at 9%
  • $12,129 at 5%

Step-by-step explanation:

Let x represent the amount invested at 9%. Then the difference in interest amounts is ...

  (9%)x -(5%)(26876 -x) = 720.78 . . . . . assuming a 1-year investment

  0.14x -1343.80 = 720.78 . . . . . . . . . simplify

  0.14x = 2064.58 . . . . . . . . . . . . . . add 1343.80

  x = 14,747 . . . . . . . . . . . . . . . . divide by 0.14

$14,747 is invested at 9%; $12,129 is invested at 5%.

8 0
3 years ago
Which expression is a perfect cube?
Nezavi [6.7K]

Answer:

-1,331m¹⁸n¹⁵p²¹ = (-11m⁶n⁵p⁷)³

Step-by-step explanation:

The cube root of 1452 is about 11.32371348.... It is not a perfect cube. The cube root of 1331 is 11, so the cube root of -1331 is -11. Either way, the number ±1331 is a perfect cube.

In order for the constellation of variables to be a perfect cube, all the exponents need to be multiples of 3. 22 is not a multiple of 3.

These criteria eliminate the 1st, 3rd, and 4th answer choices, leaving only the 2nd choice.

7 0
3 years ago
.............................
nikdorinn [45]

Answer:

B

Step-by-step explanation:

3/r=1/y-2/x

3/r=x-2y /xy

7 0
3 years ago
Find the solution of the system of equations.
Katyanochek1 [597]

Answer:

x = -5

y = -1

Step-by-step explanation:

here's the solution :-

  • subtracting equation 1 from equation 2 we get,

=》-8x - 4y + 8x - 6y = 44 - 34

=》-10y = 10

=》y = -1

plugging the value of y in equation 2 we get :-

=》-8x - 4y = 44

=》-8x - (4 × -1) = 44

=》-8x + 4 = 44

=》x = 40 ÷ -8

=》x = -5

8 0
3 years ago
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