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netineya [11]
3 years ago
8

It takes Ben 2 days to write reports, and it takes Kate 3 days to write reports. Bens rate, in reports per day, is how much grea

ter than Kate’s rate?
Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

Ben's rate is \dfrac{1}{6} greater than Kate's rate.

Step-by-step explanation:

1. If it takes Ben 2 days to write reports, then his rate is \dfrac{1}{2} of reports per day.

2. If it takes Kate 3 days to write reports, then her rate is \dfrac{1}{3} of reports per day.

3. Ben's rate is

\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}=\dfrac{1}{6}

greater than Kate's rate.

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H>
arsen [322]

Answer:

C

Step-by-step explanation:

3*-4

3 0
2 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)

=$65,000+$112,500

=$177,500  

Part b) Total Revenue

Revenue from 1 tire = $25

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

Profit = $197,500  

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

x = 3714 tires

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

3 0
3 years ago
Round number to nearest hundred 1,427 as 1,420. 68,136 as 68,130. 271,308 as 271,300. 7,593,656 as 7,594,000 right?
xenn [34]
Normally to round a number to the nearest hundred you want to go to the hundreds column for example:
1427
1...thousand, 4...hundred, 2...tenth, and 7... ones so this one would be 1400
68136=68100 and so on.... hope this helps
3 0
2 years ago
Becky's ship is 43 miles west all the harbor.
pishuonlain [190]

Answer:

Clyde is 49.74 away from the harbor

Step-by-step explanation:

Here in this question, we are interested in knowing the distance of Clyde from the harbor.

The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.

We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.

To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.

Let’s call the distance we want to calculate h.

Mathematically;

h^2 = 25^2 + 43^2

h^2 = 625 + 1849

h^2 = 2474

h = √2474

h = 49.74 miles

5 0
3 years ago
The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
siniylev [52]
<h3>Answer: Approximately 119.76 meters</h3>

===================================================

Work Shown:

x = starting length of the shadow

y = height of the pole

tan(angle) = opposite/adjacent

tan(58) = y/x

1.6003345 = y/x

1.6003345x = y

x = y/1.6003345

x = (1/1.6003345)y

x = 0.62486936y

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

When the angle changes, the adjacent side gets 90 meters longer

tan(angle) = opposite/adjacent

tan(36) = y/(x+90)

0.72654253 = y/(0.62486936y+90)

0.72654253(0.62486936y+90) = y

0.453994166y + 65.3888277 = y

65.3888277 = y-0.453994166y

65.3888277 = 0.546005834y

0.546005834y = 65.3888277

y = 65.3888277/0.546005834

y = 119.758478075162

y = 119.76

The height of the pole is about 119.76 meters.

8 0
3 years ago
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