Answer:

Step-by-step explanation:

Move x to left hand side and change it's sign
Similarly, move 1 to right hand side and change it's sign

Collect like terms

Divide both sides by -2

Calculate

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Answer:
-15
Step-by-step explanation:
-16 -|-6| +7
-16 - 6 + 7
= - 15
Absolute value is just taking the positive value of a number.
Using the property: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
24x + 5 = (22x - 4) + 17
2x = 8
x = 4
Answer:
It will take her 3 hours to read 120 pages.
Step-by-step explanation:
The number of pages read(y) after x hour can be modeled by a linear function in the following format:

In which a is the number of pages read per hour and b is the initial number of pages read.
A straight line goes through (0, 0)
This means that when 
So



(0.5, 20)
When 
So




The function in:

According to the graph, which statement must be true?
It will take her 2 hours to read 60 pages.

Less than 2 hours for 60 pages, so this is false.
It will take her 3 hours to read 120 pages.

This statement is true.
It will take her 4 hours to read 180 pages.

More than 4 hours to read 180 pages. So false.
It will take her 5 hours to read 210 pages.

More than 5 hours to read 210 pages. So false.
Answer:
95
Step-by-step explanation:
Simplify the following:
2×6 - 7 + 9^2 + 45/5
The gcd of 45 and 5 is 5, so 45/5 = (5×9)/(5×1) = 5/5×9 = 9:
2×6 - 7 + 9^2 + 9
2×6 = 12:
12 - 7 + 9^2 + 9
9^2 = 81:
12 - 7 + 81 + 9
| 1 |
| 8 | 1
| 1 | 2
+ | | 9
1 | 0 | 2:
102 - 7
| | 9 |
| 0 | 10 | 12
| 1 | 0 | 2
- | | | 7
| 0 | 9 | 5:
Answer: 95