8y-1-28y-20-6y+27
8y-28y-6y-1-20+27
-26y+6
Jenna has $43 and Heidi has $17.
Step-by-step explanation:
Total amount = $60
Let,
Amount of Jenna = x
Amount of Heidi = y
According to given statement;
x+y=60 Eqn 1
x=2y+9 Eqn 2
Putting value of Eqn 2 in Eqn 1;

Dividing both sides by 3,

Putting y=17 in Eqn 2

Jenna has $43 and Heidi has $17.
Keywords: linear equations, substitution method
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ANSWER
The correct answers are option B and D.

EXPLANATION
The given expression is

We need to simplify the above expression in order to determine the option that is equivalent to it.
The least common denominator for the last two fractions is 3.
This implies that,

We simplify to obtain,

This further simplifies to give us,

This is option B.
When we further factor -4, we get,

This is option D.
Answer: 1. -11=x 2. 24=x 3. x=-12 4. -7 5. x=7
Step-by-step explanation: The answer to first one can be calculated by seeing the - as a -1.
-5 = x - (-6)
-5=x+6
Then subtract 6 from both sides.
-5=x+6
-11=x
The answer to the second can be found simply by dividing both sides by 1.25.
- 30=1.25x
-30/1.25=1.25x/1.25
24=x
The third one can be solved by as we said before dividing both sides by -6.
-6x=72
-6x/-6=72/-6
x=-12
The fourth one can be found again by using division on both sides.
-4.9=0.7x
-4.9/0.7=0.7x/0.7
-7=x
Finally we solve the last one by again doing the same thing dividing both sides by 0.45.
3.15=0.45x
3.15/0.45=0.45x/0.45
7=x
Hope this helps!