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Karo-lina-s [1.5K]
3 years ago
5

Solve the following equation. 4 - 7x 10 = 15 - 6x - 8

Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0
4-70=7-6x
-64-7=6x
-71=-6x
71/6=x
LiRa [457]3 years ago
4 0

Answer:

x=7

Step-by-step explanation:

Simplifying

4 + -7x + 10 = 15 + -6x + -8

Reorder the terms:

4 + 10 + -7x = 15 + -6x + -8

Combine like terms: 4 + 10 = 14

14 + -7x = 15 + -6x + -8

Reorder the terms:

14 + -7x = 15 + -8 + -6x

Combine like terms: 15 + -8 = 7

14 + -7x = 7 + -6x

Solving

14 + -7x = 7 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.

14 + -7x + 6x = 7 + -6x + 6x

Combine like terms: -7x + 6x = -1x

14 + -1x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0

14 + -1x = 7 + 0

14 + -1x = 7

Add '-14' to each side of the equation.

14 + -14 + -1x = 7 + -14

Combine like terms: 14 + -14 = 0

0 + -1x = 7 + -14

-1x = 7 + -14

Combine like terms: 7 + -14 = -7

-1x = -7

Divide each side by '-1'.

x =7

Simplifying

x = 7

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dolphi86 [110]

Hello and Good Morning/Afternoon

<u>Let's tale this problem step-by-step</u>:

<u>What does the problem want:</u>

 \hookrightarrow \text{the unemployment compensation}

<u>Employment compensation</u> =55% of the average of the last 26-week salary

  \hookrightarrow \text{Average of Natalia's salary} = (\text{all the salaries added up}) / (\text{number of weeks})\\\hookrightarrow \text{Average of Natalia's salary} = 18940 / 26 = 728.46 \text{ (Rounded down)}

         ⇒ 55% of that average

                \hookrightarrow \frac{55}{100} *728.46 = 400.65

<u>Answer: $400.65</u>

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#LearnwithBrainly

5 0
1 year ago
Can someone help me on 6?
fomenos

Answer:

66600 ft

Step-by-step explanation:

First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:

a^2 + b^2 = c^2

The variable c defines the hypotenuse. Therefore:

a = 150

b = 210

Let's solve:

150^2 + 210^2 = c^2

22500 + 44100 = c^2

66600 = c^2

Therefore, in conclusion, the result we are getting is 66600 ft.

<u><em>Hope This Helps!</em></u>

6 0
2 years ago
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Help me on this worksheet and pls show work :)
baherus [9]
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8 0
3 years ago
Hello, I need help with this math problem please
Marina86 [1]

Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)

Hope This Helps!!!

4 0
2 years ago
Read 2 more answers
How many marbles, each with a volume of 36 cubic centimeters, are needed to fill in a cylindrical vase with a radius of 6 centim
ANEK [815]
The volume of a cylinder can be found using the formula:

π r² h, 

where r is the radius of the circular base and h is the height of the cylinder.

If we plug in the measurements of the cylinder, we get:

π (6²) (28)

When this is simplified, we get that the volume of the cylinder is:

1008π cubic cm

Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.

1008π / 36π = 28

Therefore, the answer is D. 28 marbles
7 0
3 years ago
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