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valentina_108 [34]
2 years ago
5

To complete bookshelves, a customer at your store needs to purchase vertical brackets to attach to the wall. The customer wants

the shelving to be 9 feet high and 10 feet long. The wall brackets come in 48-inch and 60-inch sections. The 48-inch sections cost $12.95; the 60-inch sections cost $16.95. The brackets should be 1 foot from each end and no more than 24 inches apart. What will be the total cost of the brackets, before tax?
Mathematics
1 answer:
stiks02 [169]2 years ago
8 0
We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches

The brackets are
48/12 = 4 feet
and
60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3 

The total cost is
($12.95 + <span>$16.95) * 3 = $89.7
The total cost of the brackets is </span>$89.7
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Answer:

B. 96

Step-by-step explanation:

Let x represent score of final third exam.

We have been given that in a given course a student receives preliminary examination grades of 81, 85, and 95.

Let us find average of preliminary scores.

\frac{81+85+95}{3}=\frac{261}{3}=87

We have been given that the final examination is weighed for one-third and the average of the preliminary grades is weighed as 2/3 of the final grade. This means that final grade is equally weighed into 3 parts. The two parts are 87 each and third part is x.

Using our given information, we can set an equation as:

\frac{87+87+x}{3}=90

\frac{174+x}{3}=90

\frac{174+x}{3}*3=90*3

174+x=270

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x=96

Therefore, the final examination grade should be 96 for a semester average of 90.

4 0
2 years ago
Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000
Natasha2012 [34]

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

6 0
1 year ago
Janice and her dad are building a treehouse. Her dad bought a box of 155 nails for $3.10 and a box of 85 screws for $7.65. How m
Degger [83]
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2 years ago
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A scale model of a house is 1 ft. long. The actual house is 50 ft long. In the model, the window is 1 1/5 in. high. How many fee
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First, identify the ratio:
1:50 (1 foot on the model is 50 feet on the house)
to find the actual height of the window multiply 1 1/5 by 50
\frac{6}{5}*\frac{50}{1}=\frac{300}{5}
300/5 simplifies into 60
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6 0
2 years ago
Find the coordinates of the center of the following circle. (x + 3)2 + (y - 6)2 = 24
irga5000 [103]
<span>the equation of a circle with the center at (h,k0 is given by the equation where the r is obviously the radius of the circle then do (x+3) ^2
(y-6)^2= 24 which shows that the center is = to (-3,6)
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2 years ago
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