Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:
Applying distributive property:
Grouping similar terms:
Applying common factor 
:
This is the simplified expression
<u>Part B:</u>
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if 
:
Hence, Mrs. Jones baked 121 cupcakes last week
The answer to this equation would be 3.
Answer:
40
Step-by-step explanation:
m+25=65
65-25=40
m=40
B is the answer to the question.
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
