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mezya [45]
4 years ago
10

5x+7/2=3/2x-14 please help me with this​

Mathematics
1 answer:
Luba_88 [7]4 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

5x + 7/2 = 3/2x - 14

like terms together;

5x - 3/2x = -14 - 7/2

7/2x = 35/2

divide both sides by the reciprocal of the fraction next to the unknown

divide by 2/7

x = 5

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The weight of an object is equal to 3\4 of its own weight plus 3\4of a pound. What is the weight?
Phoenix [80]

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

<u>Step 1: </u>

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

<u>Step 2: </u>

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

<u>Step 3: </u>

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.

8 0
4 years ago
Is 5.35 a repeating decimal
Naya [18.7K]

If its just 5.35 then no. But if its a number like pie then yes.

4 0
4 years ago
Read 2 more answers
PLEASE HELP
borishaifa [10]
The answer should be the second one y=37
6 0
3 years ago
What is S - 1/3= 7/9
marta [7]

Answer:

s = 10/9

Step-by-step explanation:

1. add 1/3 to both -1/3 and 7/9

2. the answer will be 10/9

4 0
4 years ago
The length of one of the sides of a square was increased by 4 dm, and the other one was decreased by 6 dm. As a result, a rectan
Inga [223]

Answer:

The answer to your question is 10 dm

Step-by-step explanation:

Data

length of a rectangle = x + 4

height of a rectangle = x - 6

Area of the rectangle = 56 dm²

length of the square = x

Process

1.- Find x with the information given for the rectangle

    Area = length x height

Substitution

    56 = (x + 4)(x - 6)

Expand

    56 = x² - 2x - 24

Equal to zero

            x² - 2x - 24 - 56 = 0

Simplify

             x² - 2x - 80 = 0

Factor

            (x - 10)(x + 8) = 0

Equal to zero

             x₁ -10 = 0          x₂ + 8 = 0

             x₁ = 10               x₂ = -8

2.- Conclusion

The length of the square is 10 dm because there are no negative lengths.                  

5 0
4 years ago
Read 2 more answers
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