MATHEMATICS MIDDLE SCHOOL

solve the equation for x. show each step of the solution. name the justification for each step of the solution 9/2 (8-x) +36=102-5/2(3x+24)

Answers

Answer 1

Answer:

1. You have the following equation:

$(9)/(2)(8-x)+36=102-(5)/(2) (3x+24)$

2. First, you must apply the Distributive property:

$(72)/(2)-(9x)/(2)+36=102-(15x)/(2)-(120)/(2)$

3. Simplify:

$36}-(9x)/(2)+36=102-(15x)/(2)-60$

3. Add the like terms:

$-(9x)/(2)+(15x)/(2)=102-60-36-36\n 3x=-30$

4. Solve for $x$ :

$x=-(30)/(3) \n x=-10$

Therefore, the answer is: $x=-10$

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Which expression is equivalent to 5x + 5x – x + 8y – 4y?

What do you get when you cross a stick of dynamite with a lemon pie

Answers

Good evening Sammy

You will get a " Boom Meringue

a pie that would blow your taste buds

I hope that's help and have a great weekend !

You get a "boom meringue."

Write the equation of the line passing through (7,-4) and (-1,2) in slope intecept form

Answers

Answer: y = $(-3x)/(4)$ + $(5)/(4)$

Step-by-step explanation:

Using the formula for finding equation of a line :

$(y_(2) - y_(1) )/(x_(2)- x_(1))$ = $(y - y_(1) )/(x - x_(1) )$

From the question:

X1 = 7

X2 = -1

Y1 = -4

Y2 = 2

Substituting into the formula , we have

$(2 - (-4))/(-1 - 7)$ = $(y - (-4))/(x - 7)$

⇒ $(6)/(-8)$ = $(y+4)/(x - 7)$

$(-3)/(4)$ = $(y+4)/(x - 7)$

4( y + 4) = -3 ( x - 7)

4y + 16 = -3x + 21

4y = - 3x + 21 - 16

4y = - 3x + 5

y = -3x/4 + 5/4

Answer:

y=-3/4x+5/4

Step-by-step explanation:

How to write 2 12/13 as a decimal rounded to the nearest tenth?

Answers

The value of 2¹²/₁₃, rounded to the nearest tenth, is approximately 2.9.

To write 2¹²/₁₃ as a decimal rounded to the nearest tenth, we need to convert the mixed number to an improper fraction first and then divide the numerator by the denominator.

The mixed number 2¹²/₁₃ can be written as an improper fraction as follows:

2¹²/₁₃ = (2 x 13 ) + 12) / 13 = 38/13

Now, we can divide the numerator (38) by the denominator (13) to convert the fraction to a decimal:

38 ÷ 13 = 2.92307692308...

Rounding to the nearest tenth means we consider the digit in the tenth place and decide whether to round up or down based on the next digit (in the hundredth place).

In this case, the digit in the tenth place is 9, and the next digit (in the hundredth place) is 2. Since 2 is less than 5, we round down.

Therefore, rounding 2.92307692308... to the nearest tenth gives us:

2.9

So, 2¹²/₁₃, rounded to the nearest tenth, is approximately 2.9.

To know more about mixed numbers follow

brainly.com/question/2559614

#SPJ6

In order to write 2 12/13 to a decimal, you must divide 12 by 13. 12 divided by 13 is 0.923. However, you must add the whole number making it 2.923. Yet, you must round it to the nearest tenth. 9 is in the tenths place meaning we rely on 2. 2 is less than 5 meaning we round down. The answer is 2.9.

What is the answer to this

Answers

Answer:

48 cups is the answer divide 64 by 4 then multiply that number u get by 3

Answer: 48 cups are

Step-by-step explanation: divide 64 by 4 which is 16 now multiply 16 by 3

The population of the state of Colorado was about 5,846,000 people in 2020. Which number best approximates the population as a single digit times a power of 10?

Answers

Answer:

6x10^6

Step-by-step explanation:

You round up bc of the 8. Then you do the jump method and find the power of six.

Answer:

Step-by-step explanation:

6x 10^6

Can you solve this:
JUST number 7 and 8
Thanks everyone

Answers

for number 7 because 9 is the number of small triangle and 99 is for the bigger one so you can say 9 * 11 = 99 so 10 * 11 = 110 = x
and for number 8 because the small triangle has the same sides so the bigger one should have too so x = 100 :)))
hope this is helpful
have a nice day

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