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sveta [45]
3 years ago
15

1/3(6x-15)=1/2(10x-4) solve for x

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Simplify 1/3(6x - 15) to 6x - 15/3

6x - 15/3 = 1/2(10x - 4)

Factor out the common term; 3

3(2x - 5)/3 = 1/2(10x - 4)

Cancel out 3

2x - 5 = 1/2(10x - 4)

Simplify 1/2(10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

2x - 5 = 2(5x - 2)/2

Cancel out 2

2x - 5 = 5x - 2

Subtract 2x from both sides

-5 = 5x - 2 - 2x

Simplify 5x - 2 - 2x to 3x - 2

-5 = 3x - 2

Add 2 to both sides

-5 + 2 = 3x

Simplify -5 + 2 to -3

-3 = 3x

Divide both sides by 3

- 1 = x

Switch sides

<u>x = -1</u>

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What’s 5/6 divided by 5/2 in fraction form
nadya68 [22]

Answera:The answer is 0.3333333333 repeated

Step-by-step explanation:5/6 is 0.8333333 repeated divided by 5/2 which is 2.5 which when divided is 0.333333333 repeated.

4 0
3 years ago
Read 2 more answers
Examine the diagram. A triangle has angles A, 15 degrees, 80 degrees. The exterior angle to angle A is B. What is the sum of the
QveST [7]

Answer:

m<A = 30degrees

m<B = 70degrees

Step-by-step explanation:

Find the diagram attached

From the diagram;

m<A + 150 = 180

m<A = 180 - 150

m<A = 30degrees

Also since the sum of angles in a triangle is 180degrees, hence;

m<B+m<A + 80 = 180

m<B+30+80 = 180

m<B+110 = 180

m<B = 180 - 110

m<B = 70degrees

4 0
3 years ago
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The mean age of 9 women in an office is 27 years old. The mean age of 7 men in an office is 25 years old. What is the mean age (
marta [7]

Answer:

26 years

Step-by-step explanation:

Given:

The mean age of 9 women = 27 years old

The mean age of 7 men = 25 years old

Question asked:

What is the mean age (nearest year) of all the people in the office?

solution:

By using, mean = sum of observations divided by number of entities

The mean age of 9 women = 27 years old

\frac{sum of ages}{number of women} = 27

Sum  of ages of women = 27 \times9 = 243\\ years

The mean age of 7 men = 25 years old

\frac{sum of ages}{number of men} = 25

sum of ages of men = 25 \times7 = 175

Total sum of ages of men and women in the office = 243 + 175

                                                                                     = 418 years

Total number of people in the office = 9 women + 7 men = 16

The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office

                                                                         = \frac{418}{16}  = 26.125

Therefore,  the mean age (nearest year) of all the people in the office = 26 years

6 0
4 years ago
1.Which coordinates are not of the vertices of the feasible region for the system of inequalities?
astraxan [27]
2.   I think the answer is 24

subracting the last 2 inequalities we get

6x + 7y <= 42
3x + 2y  <= 18    subtract:_-
3x + 5y <= 24
3 0
3 years ago
In Tim's math class, there are 12 pencils and 15 markers. Which of the following is the ratio of markers to pencils in Tim's mat
Hunter-Best [27]

Answer:

3

Step-by-step explanation:

there are 3 more markers than pencils

6 0
3 years ago
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