MATHEMATICS MIDDLE SCHOOL

8(2x – 14) + 13 = 4x – 27Part B: What value of x makes the equation true? (4 points)

i got part a but i dont understand part b.
the answer is 6 if that helps.

Answers

Answer 1
Answer: 8 (2x - 14) + 13 = 4x -27

distribute 8 through the parentheses

16x - 112 + 13 = 4x - 27

combine like terms

16x - 99 = 4x -27

subtract 4x from each side

12x - 99 = -27

add 99 to each side

12x = 72

divide each side by 12

x = 6

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12 divided by 0.2 without a calculator

Answers

12 divided by 0.2 without a calculator is 60.

Tickets to the movies cost $12 for adults and $8 for children. A group of 14 people went to the movies, and the tickets cost $136. The system of equations models this situation, where x is the number of adults and y is the number of children.x+y=14
12x+8y=136
How many adults and how many children were in the group?
A.
9 adults and 5 children

B.
6 adults and 8 children

C.
4 adults and 10 children

D.
8 adults and 6 children

Answers

-12*/x+y=14
12x+8y=136

-12x-12y=-168
12x+8y=136
+--------------------
-4y= -32

y=8

x+y=14

8+y=14,

y=6

This question answer  is 6 adults and 8 children

Can someone explain the concept of pi?

Answers

A constant circle of numbers.. "constant, the ratio of a circle's circumference to its diameter.." Says the wiki. 
Pi is the longest number without any repeating twice in a row. Hope this helps you understand pi.

30:90 three equivalent ratios

Answers


Divide both terms of the ratio by a same number, as 10, 30 and 15, for example:

(30)/(90)=(3)/(9)=(1)/(3)=(2)/(6)...
3:9
1:3
90:270
these are equivalent to 30:90

If x represents hours worked and y represents total earnings in dollars, then the equation that corresponds to the earnings of someone who makes $12.75 an hour is___.A. x = 12.75y
B. y = 12.75x
C. y = 12.75 + x
D. y = 12.75/x

Answers

The correct option is B. y=12.75x

cuz, y = total earnings

and x = hours worked

so total earnings(y) should be equal to the amount of money paid for an hour(12.75) * number of hours worked

What is 78% of 112?..

Answers

Multiply 112 by 0.78 to find 78% of the original number. 112*0.78=87.36
To find what percent of number x is number y, you should divide number x by number y. Then multiply your result by 100 and this will give you the percentage. Your formula should look like x/y * 100. 
so
78% of 112 = 87.36 
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