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liubo4ka [24]
3 years ago
7

Mr.Smith is building a fence around his garden. The length is 3 feet longer than twice the width. The perimeter is 72 feet. Part

A: Which equation could be used to determine w, the width, in feet of the sandbox? A. W + w + 3 = 72 B. W + 2w + 3 = 72 C. 2w + 2(w + 3) = 72 D. 2w + 2(2w + 3) = 72 Part B: What is the width, in feet, of the fencing required to surround the garden?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0

Step-by-step explanation:

A.C

B.2w + 2(w + 3) = 72

2w + 2w + 6 = 72

4w + 6 = 72

4w = 72 - 6

4w = 66

w = 16.5

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3 years ago
A company makes and sells customized yard signs. If you order 5 signs, they charge $72 which includes shipping. If you purchase
klemol [59]

The slope is of $13, which means that each new sign costs $13.

-----------------

A linear function has the following format:

y = mx + b

In which

  • m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
  • b is the y-intercept.

-----------------

  • In the linear function in this problem, we have two points (x,y): (5,72) and (15,202).
  • The slope is given by the <u>change in y divided by the change in x</u>, thus:

m = \frac{202 - 72}{15 - 5} = 13

  • The slope is of $13, which means that each new sign costs $13.

A similar problem is given at brainly.com/question/24141057

7 0
2 years ago
Jasmine is buying beans. She bought r pounds of red beans that cost $3 per pound and b pounds of black beans that cost $2 per po
Levart [38]
D and B are the answers because they are the variables.
4 0
3 years ago
21. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.
dybincka [34]

Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$$

Step 2 of 2

Find the slope of first line.

$$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$$

And

$$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$$

Since, both slopes are reciprocal of each other.

Therefore, the lines are perpendicular.

6 0
1 year ago
Which is the last operation performed when evaluating (8-2x)+4
jek_recluse [69]
Short Answer: Combine like terms
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Just from what I see here, remove the brackets first and combine like terms second.

Discussion
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12 - 2x          That's the answer. Don't go any further. 2nd and last step



3 0
2 years ago
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