To solve a problem, we often _________ the given information into algebraic expressions and equations.

Answers

Answer 1

Answer: Answer – Translate
To solve a problem, we often translate the given information into algebraic expressions and equations; in doing so, the variable (unknown value) is represented with a letter. For instance, the information, “6 less than twice a number" is translated to '2n – 6'.

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If two lines are parallel, which statement must be true?A. Their slopes are reciprocals.
B. Their slopes are opposites.
C. Their slopes are equal.
D. Their slopes are negative reciprocals.

Answers

I believe the correct answer from the choices listed above is option C. If two lines are parallel, their slopes are equal. Having equal slopes mean that the rise and run of the points of the lines are the same. Parallel lines do not intersect even when extended infinitely.

Answer:

C. Their slopes are equal.

Step-by-step explanation:

Given : If two lines are parallel.

To find : which statement must be true.

Solution : We have given that If two lines are parallel.

We know that two parallel line have same slope

By rise over run :

Therefore, C. Their slopes are equal.

Lorenzo is a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year, what was his rate of commission?A. 33%

B. 28%

C. 46%

D. 61%

Answers

Since, a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year. We have to evaluate the rate of commission.

Let the rate of commission be 'r%'.

Therefore,

24,650 + (87,100 of r%) = 53,393

$24,650 +(87,100 * (r)/(100))= 53,393$