The answer is A. because the first part shows the ratio 3:2 and the other 2 shows equivalent ratios.
Since there is a multiplier of 7 on the left, and both terms on the right are divisible by 7, I'd start by dividing the equation by 7
|8 - 3x| = 3x - 7
The absolute value function may or may not negate its argument. (The argument is negated if it is negative.) Hence this can resolve to two equations
-(8 -3x) = 3x -7
or
(8 -3x) = 3x -7
_____
Starting with the first of these, we can eliminate parentheses to get
... -8 +3x = 3x -7
Subtracting 3x from both sides gives the FALSE statement
... -8 = -7 . . . . FALSE
Thus, this version of the equation has No Solution.
Looking at the second of the equations above, we can add 3x to get
... 8 = 6x -7
Adding 7 and dividing by 6 gives
... (8 +7)/6 = x = 5/2
The solution is x = 5/2.
Answer:
$150
Step-by-step explanation:
Mary+4 friends=5 people
5 people x $30 each person = 150 in total
$150
Answer:
1. B
2. C
3. B
4. D
5. 30, 40, 50
6. IV
7. I
8. IV
9. II
10. 60° and 120°
Step-by-step explanation:
Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
