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likoan [24]
3 years ago
8

A local school held a charity coat drive for two months the school collected 269 coats in the first month 542 coats were collect

ed in all how many coats did the school collect in the second month
Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

School collected 273 coats in second month.

Step-by-step explanation:

Given

Total number of coats collected in 2 months = 542

Number of coats collected in first month = 269

We need to find the number of coat school collected in second month.

Solution:

Now we can say that;

Total number of coats collected in 2 months is sum of Number of coats collected in first month and Number of coats collected in Second month.

Also We can say that;

Number of coats collected in Second month is equal to Total number of coats collected in 2 months minus Number of coats collected in first month.

framing in equation form we get;

Number of coats collected in Second month = 542-269 =273

Hence School collected 273 coats in second month.

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
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Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

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And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

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\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

-20x+1681 \le 21x

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

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Swapping sides and changing the sign:

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The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab
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Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft                      

length = 37 ft

height = ?

Pythagorean theorem

                                     c² = a² + b²

length = c

base = a

height = b

                                   37² = 9² + b²

-Solve for b

                                    b² = 37² - 9²

-Simplify

                                    b² = 1369 - 81

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-Conclusion

The ladder will reach a height higher than 35 ft.  

8 0
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