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GaryK [48]
3 years ago
14

The perimeter of a rectangular garden is 37.5 feet. The width is x, and the length is 15 ft. Use the equation 2(x + 15) = 37.5 t

o determine the width, in feet, of the garden?
Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

Answer:

11.25

Step-by-step explanation:

first what u do is u just make 2(x+15)=37.5 into 2x+15=37.5

and then u do 2x=37.5-15

that will give u 2x=22.5

then u do this x=22.5/2

and x = to 11.25

charle [14.2K]3 years ago
3 0

Answer:

2.5

Step-by-step explanation:

37.5/15=2.5

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A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
2 years ago
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If
pochemuha

Answer:

21.74

Step-by-step explanation:

4 0
2 years ago
Find two consecutive odd integers whose sum is 36.
miskamm [114]
2 consecutive odd integers...x and x + 2

x + (x + 2) = 36
2x + 2 = 36 <===
3 0
3 years ago
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A kennel in Akron charges $9 a night for dogs and $6 a night for cats. Write an expression that can be used to find the total of
77julia77 [94]

Answer:

90

Step-by-step explanation:   9 + 6 = 15

So, then you would multiply 15 x 6 which equals 90

6 0
3 years ago
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C, G, and D are collinear. E, G, and F are also collinear. The two lines
Elodia [21]

Answer:

EG is 19 units

Step-by-step explanation:

Let us solve the question

∵ Lines CD and EF intersected at point G

∴ CD = CG + GD

∴ EF = EG + GF

∵ Line EF bisects line CD

→ That means G is the midpoint of CD

∴ CG = GD

∵ CG = 5x -1

∵ GD = 7x - 13

→ Equate them to find x

∴ 7x - 13 = 5x -1

→ Add 13 to both sides

∴ 7x -13 + 13 = 5x - 1 + 13

∴ 7x = 5x + 12

→ Subtract 5x from both sides

∴ 7x - 5x = 5x - 5x + 12

∴ 2x = 12

→ Divide both sides by 2

∴ \frac{2x}{2}=\frac{12}{2}

∴ x = 6

∵ EF = 6x - 4

→ Substitute x by 6 to find its length

∴ EF = 6(6) - 4 = 36 - 4

∴ EF = 32

∵ EF = EG + GF

∵ GF = 13

∴ 32 = EG + 13

→ Subtract 13 from both sides

∵ 32 - 13 = EG + 13 - 13

∴ 19 = EG

∴ EG = 19 units

7 0
3 years ago
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