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Pachacha [2.7K]
3 years ago
5

Find the following rates. Round your answer to the nearest hundredth. a. ? % of 75 = 5 b. ? % of 28 = 140 c. ? % of 100 = 40 d.

? % of 200 = 15
Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

a) 6.67% b) 500% c) 40% d) 7.5%

Step-by-step explanation:

a. ? % of 75 = 5

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 75 = 5</em>

<em>y% = 5/75</em>

<em>y% = 1/15 x 100</em>

y = 6.67 %

b) ?% of 28 = 140

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 28 = 140</em>

<em>y% = 140/28</em>

<em>y% = 5</em>

<em>y = 5 x 100</em>

y = 500%

c) ?% of 100 = 40

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 100 = 40</em>

<em>y% = 40/100</em>

<em>y% = 2/5</em>

<em>y = 2/5 x 100</em>

y = 40%

d) ?% of 200 = 15

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 200 = 15</em>

<em>y% = 15/200</em>

<em>y% = 3/40</em>

<em>y = 3/40 x 100</em>

y = 7.5 %

!!

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3 years ago
Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each and cookies cost $0.75 each. Which of thes
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Answer:

1.1h+0.75c=4.55---------------1

h+c=5--------------2

Step-by-step explanation:

Step one:

given data

total lunch items= 5

let hot dogs be h

and cookies be c

cost of hot dogs = $1.10

cost of cookies = $0.75

total cost = $4.55

Step two:

The linear model for the total cost is given as

4.55=1.1h+0.75c---------------1

and the model for the number of items is

h+c=5--------------2

The systems of the equation for the situation is

1.1h+0.75c=4.55---------------1

h+c=5--------------2

6 0
3 years ago
The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $65,000. The variable cost of recappi
trasher [3.6K]

Part a) Total Cost

Total Cost for recapping the tires is the sum of fixed cost and the variable cost. i.e.

The total cost is ( $65,000 fixed) + (15,000 x $7.5)

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Part b) Total Revenue

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Total tires recapped = 15000

So, Total revenue = 15000 tires x $25/tire

Total Revenue =$375,000  

Part c) Total Profit

Total Profit = Revenue - Cost

Using the above values, we get:

Profit = $375,000 - $177,500

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Part d) Break-even Point

Break-even point point occurs where the cost and the revenue of the company are equal. Let the break-even point occurs at x-tires. We can write:

For break-even point

Cost of recapping x tires = Revenue from x tires

65,000 + 7.5 x = 25x

65,000 = 17.5 x

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Thus, on recapping 3714 tires, the cost will be equal to the revenue generating 0 profit. This is the break-even point.

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4 years ago
Direct variation or not a direct variation<br><br> y=5/x
MrRissso [65]

Answer:

not direct variation

Step-by-step explanation:

The equation for x and y in direct variation is

y = kx ← k is the constant of variation

y = \frac{5}{x} is not in this form, thus not direct variation.

The equation for x and y varying inversely is

y = \frac{k}{x} ← k is the constant of variation

y = \frac{5}{x} is in this form and represents inverse variation

7 0
3 years ago
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velikii [3]

Answer:

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Step-by-step explanation:

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probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

5 0
3 years ago
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