Simplify to create an equivalent expression -5(3p+3)+9(-7+p)
1 answer:
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Answer:
- 42
- 35
- 16
Step-by-step explanation:
Put the value where the variable is and do the arithmetic. It can save some steps to simplify the expression first.
35 -c³ +8 = 43 -c³
<u>c = 1</u>
43 - 1³ = 43 -1 = 42
<u>c = 2</u>
43 - 2³ = 43 -8 = 35
<u>c = 3</u>
43 -3³ = 43 -27 = 16
The values that go in the blanks are 42, 35, 16.
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<em>Additional comment</em>
It does not take long to learn how to use a spreadsheet for evaluating the same formula with a number of different values of the variable(s). Graphing calculators can do this, too. It is always appropriate to use the right tool for the job.
Familiarity with multiplication and addition facts is a very good place to start. It is also useful to memorize the squares and cubes of small integers. The latter are needed here.
Answer:
The answer to your question is 166 mi/h
Step-by-step explanation:
Data
ve = rate eastbound train
vw = rate westbound train = ve - 14
distance = d = 900 mi
time = t = 5 h
Formula
v =
Substitution and simplification
Now, substitute this value in the equation of vw
vw = 180 - 14
Result
vw = 166 mi/h