In this question, AE is the length of half of one diagonal in the rectangle. DB is the length of the other diagonal. 2(4x-12) would be the total length of the other diagonal, AC. You can set 2(4x-12) equal to 7x-18 and solve for x.

2(4x-12)=7x-18

8x-24=7x-18

x-24=-18

x=6

**Answer:**

A. coefficients: 70, 12; variables: x, y.

B. 2 terms: 70x, 12y; separated by an addition symbol

C. 70x

**Step-by-step explanation:**

We will answer the questions in the context of this problem. In other problems, the meaning of "coefficient", "variable", and "term" may be different.

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A. The coefficients are the numbers; the variables are the letters. Then the coefficients are 70 and 12; the variables are x and y.

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B. Each product is a term. Terms are separated by the + sign. There are two terms in this expression, one on either side of the + sign. When an expression is written with no parentheses, the terms are separated by + or - signs. (Often, we think of the minus sign as being part of the coefficient of the term. Then we can say terms are separated by + signs. 10x + (-32y), for example.)

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C. When you match the coefficients to the numbers in the problem statement, you see that the number matching the earnings at the diner is $70 per shift. If we assume that x represents the number of shifts worked at the diner, then the term 70x will represent the total earned from the diner. It is the product of the earnings per shift and the number of shifts.

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**Answer:**

**Step-by-step explanation:**

We are** given the following** information in the question:

"Citizens less than 18 years old are not allowed to vote"

We **define a variable x **such that** x represents the age of citizens.**

We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.

Citizens less than 18 are not allowed to vote.

So** x should be less than 18.**

This can be written as:

is the **required inequality **for the ages of citizens who are not allowed to vote.

A=1,000×(1+0.0625÷4)^(4×7)

A=1,543.60