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grandymaker [24]
3 years ago
7

Solve each equation. Record your work and check your solution. a. 5(x-2)+(-9)= -7(1-x)

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

The solution for equation is x = -6

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

5(x-2) + (-9) = -7(1-x)

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x

Solve for terms in left hand side of equation

5x - 19 = -7+7x

Move the variables to one side and constants to other side

7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6

Thus the solution for equation is x = -6

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weeeeeb [17]

Answer:

45 degrees for 8

135 degrees for 9

48 for 10

Yes a square is a rectangle

Next ones.

Sut = 21 becuase x=5

7

Step-by-step explanation:

Last one:

x^2 + 8 = 3x + 36

      - 8          -  8

x^2        = 3x + 28

     -3x       -3x

x^2 - 3x =     28

(x · x) - 3x = 28.        

This was were a little guess work was used,

I found that any number lower than 7 is less than 28 when pluged into x and any above is higher.

Hence x = 7

So

x^2 + 8 = 7^2 + 8

7 x 7 = 49.    49 + 8 = 57.

and

3x+36 = 7 x 3 + 36

7x3 = 21. 21 + 36 = 57.

Both lines are equal so x is indeed 7.

The RSTU rectangle

3x+6 = 5x-4

    +4        +4

3x+10 = 5x

-3x        -3x

10 = 2x

10/2 = 5

5 = x or x = 5

plug it in now

3 x 5 = 15. 15 + 6 = 21

and

5 x 5 = 25. 25 - 4 = 21

so x = 5

8-10

QRS = 45 degrees because bisects the square with a diagonal line from corner to corner

PTQ is a 135 degrees because it is wider than a 90 degrees angle and meets both upper corner from the middle of the square making it 135 degrees.

SQ = 48 because RT = 24 and RT is half the length of SQ meaning its length would be 48

Or

SQ= 24 degrees because RT = 24 and if RT was to continue on the line it is on it will reach the length of SQ.

3 0
3 years ago
Please help with this question
never [62]

Answer:

2,744 feet³

Step-by-step explanation:

Volume = Length * Width* Hight

A cube has all the sides equal in measure so Length and Width and Hight are equal and are given in the picture to be 14 feet.

V = 14 *14*14 = 2,744 cubic feet

5 0
2 years ago
Gregory runs at a steady pace on his treadmill. In 2 hours, he runs 12 miles. The graph represents this situation. Which point w
iren2701 [21]

Answer:

6 miles per hour because 12 divided by 2 is 6

Step-by-step explanation:

5 0
3 years ago
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A ÷ (2 + 1.5) for a = 14<br><br> dont spam links and this is 6th grade work
IRINA_888 [86]

Answer:

49

Step-by-step explanation:

2+1.5=3.5

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1/2 + 1/3 = 3/6 + 2/6 = 5/6
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