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uranmaximum [27]
3 years ago
10

Joy Co. allocates overhead expenses to all departments on the basis of floor space (sq. ft.) occupied by each department. This y

ear total overhead expenses were $22,000. Department A. occupied 15,000 sq. ft., Department B. 18,000 sq. ft., and Department C. 9,000 sq. ft. The amount of overhead allocated to Department B is (round to the nearest dollar):
Mathematics
1 answer:
salantis [7]3 years ago
7 0
The ratio between the departments is

A: B: C
15000 : 18000 : 9000
15 : 18 : 9
5 : 6 : 3

The budget needs to be divided into 5+6+3 = 14 parts
The budget for one part is 22000/14

The budget for department B is \frac{22000}{14}*6=9428.571428
Rounded to the nearest dollar, the budget is $9429
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What does the expression (x+3)(9) represent
Dominik [7]

Answer:

evaluate 9(x+3)

expand 9x+27

Step-by-step explanation:

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3 0
2 years ago
In answering the following questions, assume that the angular acceleration is constant and nonzero: alpha not equal to zero.
Ronch [10]
I think the correct answer would be true. The quantity represented by theta is a function of time. This is because the rate of change of angular speed is constant which means the angular distance is changing with time. Hope this answers the question. Have a nice day.
8 0
3 years ago
Ice Cold Creamery will give a free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
kotykmax [81]

Given:

Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

Each bucket of ice cream costs $7.28

Each bucket of frozen yogurt costs $8.21.

To find:

The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.

Solution:

Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.

According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.

7.28i+8.21y\geq 100

8.21y\geq 100-7.28i

Divide both sides by 8.21.

y\geq \dfrac{100-7.28i}{8.21}

Therefore, the required inequality is y\geq \dfrac{100-7.28i}{8.21}.

8 0
2 years ago
Ben spent 1/6 of his money on a burger, fries, and a drink. Then he spent half of the money he had left: $5 on a magazine, $8.25
Ket [755]

The amount of money Ben had to begin with after spending 1/6 and 1/2 of it is 57 dollars.

<h3>How to find the how much money he had with an equation?</h3>

let

x = amount he had to begin with

He  spent 1/6 of his money on a burger, fries, and a drink. Therefore,

amount spent on burger, fries, and a drink = 1  / 6 x

Hence,

amount he had left = x - 1 / 6 x =6x - x /6 = 5 / 6 x

Then he spent half of the money he had left.

1  / 2(5  /6 x) = 5 + 8.25 + 10.50

5 / 12 x = 23.75

cross multiply

5x = 23.75 × 12

5x = 285

divide both sides by 5

x = 285 / 5

x = 57

Therefore, the amount of money he have to begin with is $57.

learn more on equation here: brainly.com/question/5718696

4 0
2 years ago
Hans the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot
xz_007 [3.2K]

<span>A = hours for plan A
B = hours for plan B</span>

<span>Monday: 6A + 5B = 7
Tuesday: 2A + 3B = 3</span>

use elimination by multiplying the 2nd equation by 3.

Doing that we get 3(2A + 3B = 3) = 6A + 9B = 9

<span>So the two equations are now:
6A + 9B = 9</span>

6A + 5B = 7

Subtract and we have 4B = 2

B = 2/4 = 1/2 of an hour

Now put 1/2 back into either equation to solve for A

<span>6A + 5(1/2) = 7
6A + 5/2 = 7
6A = 14/2 -5/2
6A = 9/2
divide by 6 to get A = 9/12 = ¾  hours</span>

<span>Plan A = 3/4 hour</span>

<span> Plan B = 1/2 hour</span>


3 0
3 years ago
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