All categories

3 years ago

Please help

Mathematics

1 answer:

nikitadnepr [17]3 years ago

8 0

Answer:

The value of x is $\frac{-2}{5}$ .

Step-by-step explanation:

Given expression is:

$\frac{2}{3}(x-2)=4x$

We have to solve this for x.

First we will multiply both sides of the equation by 3

$3*\frac{2}{3}(x-2)=4x*3$

2(x-2) = 12x

2x-4=12x

Now we will be subtracting 2x from both sides of the equation

2x-2x-4=12x-2x

-4=10x

10x=-4

Dividing both sides by 10

$\frac{10x}{10}=\frac{-4}{10}\\\\x=\frac{-2}{5}$

Hence,

The value of x is $\frac{-2}{5}$ .

You might be interested in

Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?

Archy [21]

Mr. Gardener's annual interest rate is 8%.

40,000/500,000 = 0.08

8 0

3 years ago

I GIVE BRAINIEST Can someone help me with this pls

Juliette [100K]

Answer:

A. moving forward for 10m at a steady pace of 2m/s

B. moving backwards 8m at a steady pace of 2.67m/s

C. staying in the same spot for 4 seconds

D. moving 9m at a steady pace of 4.5m/s

E. moving 4.5m with an average pace of 1.5m/s

5 0

3 years ago

Which is a rule that describes the translation of a point from (4, -8) to (7, -10)

krok68 [10]

Cº b. Points on the x-axis ( Y. 0)-7 (6 2C) are mapped to points. --IN- on the y-axis. ... Describe the transformation: 'Reflect A ALT if A(-5,-1), L(-3,-2), T(-3,2) by the rule (x, y) → (x + 3, y + 2), then reflect over the y-axis, (x,-1) → (−x,−y). A C-2. L (0.0 tº CD + ... translation of (x,y) → (x–4,y-3)? and moves from (3,-6) to (6,3), by how.

8 0

2 years ago

Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school.

Maksim231197 [3]

26% of all the employees attend night school

Step-by-step explanation:

The given is:

Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school

40 percent of all employees are male

We need to find what percent of all the employees attend night school

Assume that the number of all employees is x

∵ The company has x employees

∵ 40 percent of all employees are male

- Find 40% of x

∵ 40% × x = $\frac{40}{100}$ × x = 0.4 x

∴ The number of the male employees is 0.4 x

- Subtract 0.4 x from x to find the number of the female employees

∵ The number of female employees = x - 0.4 x = 0.6 x

∴ The number of the female employees is 0.6 x

∵ 20 percent of the male employees attend night school

- Multiply 20% by 0.4 x to find the number of male employees

who attend night school

∴ The number of male who attend night school = 20% × 0.4 x

∴ The number of male who attend night school = $\frac{20}{100}$ × 0.4 x

∴ The number of male who attend night school = 0.08 x

∵ 30 percent of the female employees attend night school

- Multiply 30% by 0.6 x to find the number of female employees

who attend night school

∴ The number of female who attend night school = 30% × 0.6 x

∴ The number of male who attend night school = $\frac{30}{100}$ × 0.6 x

∴ The number of male who attend night school = 0.18 x

Add the number of male and female who attend night school

∵ 0.08 x + 0.18 x = 0.26 x

∴ The number of male and female who attend night school is 0.26 x

- Find the percentage of 0.26 x of x

∵ $\frac{0.26x}{x}$ × 100% = 26%

∴ 26% of all the employees attend night school

26% of all the employees attend night school

Learn more:

You can learn more about the percentage in brainly.com/question/6871421

#LearnwithBrainly

5 0

3 years ago

Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th

ruslelena [56]

To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).

We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.

So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:

4 1/2 (times 6 to both top and bottom) =
4 6/12

2 1/4 (times 3) = 2 3/12

6 1/3 (times 4) = 6 4/12

Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.

Thus, Peter makes a total of 13 1/2 cups.

Hope this made sense! tell me if anything is confusing/incorrect :))

8 0

3 years ago