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Black_prince [1.1K]
3 years ago
6

Which graph represents the solution set of the compound inequality​

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Step-by-step explanation:

take into 2 sections

-5<a-4 and a-4<2

-1<a and a<6

therefore it should be the 2nd one

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Which statements about Sofia’s work are true? Select all that apply.
love history [14]

Answer:

Step-by-step explanation:

which ones?

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3 years ago
Find the percent increase or decrease: 43 to 78
Kobotan [32]

Answer:

81.39% increase.

Step-by-step explanation:

Given: There is change in number from 43 to 78.

First lets find the amount of change or difference in number.

Difference in number= 78-43= 35

∴ Difference in number show that there is an increase of 35 number.

Now, finding the percent change in the number.

Percent= \frac{Difference\ in\ number}{base\ number} \times 100

⇒ Percent change in number= \frac{35}{43} \times 100= 81.39\%

∴ 81.39% increase in the number.

3 0
3 years ago
Find the exact area of an equilateral triangle if the length of one side is 40
VARVARA [1.3K]
Equilateral triangle is a triangle with the 3 sides of the same length, and the 3 angles with the same measures/degree.
The formula to find the area of a triangle is base x height/2 , you do have the base (40), but you need the height. To find the height of an equilateral triangle you use the formula: side/2 x radical3, this way u'll find the height and therefor can calculate the area of the triangle.
Hope that helped :)
8 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)

=$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
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