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Tasya [4]
2 years ago
15

What is the completely factored form 8x2-50y2?

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0
Remember
a²-b²=(a-b)(a+b)

8x²-50y²
2(4x²-25y²)
(2)([2x]²-[5y]²)
2(2x-5y)(2x+5y)
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Matthew manages the packaging department of his company. Yesterday, the department operated for only 4 hours due to a company pi
yKpoI14uk [10]

Alright, lets get started.

If Matthew wants to complete packages at an average rate of at least 39 packages per hour.

And they worked 4 hrs only due to picnic, yesterday, it means they have to make 39*4 = 156 packages.

But they made only 112 packages means they are short of 156 - 112 = 44 packages.

Suppose they are working today t hrs, and his department will complete 43 packages per hour today.

It means they are going to make 43 t packages today.

This 43 t packages includes those 44 too , which they are short of yesterday due to picnic.

So, average will be

\frac{43 t - 44}{t} = 39 (39 average given in question)

Cross multiplying

39 t = 43 t - 44

Adding 44 in both sides

39 t + 44 = 43 t - 44 + 44

43 t = 39 t + 44

Subtracting 39 t in both sides

43 t - 39 t = 39 t + 44 - 39 t

4t = 44

Dividing 4 in both sides

t = 11 hrs

Hence they have to woth 11 hrs today : Answer

Hope it will help :)

3 0
2 years ago
Read 2 more answers
If point C is inside AvB, then __+m CvB= m AvB
adelina 88 [10]

Answer: OPTION A

Step-by-step explanation:

It is important to remember the "Angle Addition Postulate" in order to solve this exercise.

You have this larger angle:

 \angle AVB

According to the "Angle Addition Postulate", if the point "C"  is in the interior of \angle AVB, then the measure of this angle can be obtained by adding the angle \angle AVC and the angle \angle CVB.

You can observe in the figure that:

 m\angle AVC=39\°\\\\\mangle CVB=23\°

Then you get that:

m\angle AVC+m\angle CVB=m\angle AVB\\\\39\°+23\°=62\°

Therefore, the correct answer is Option A.

3 0
2 years ago
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The annual interest rate of Marta's savings account is 7.2% in a simple interest is calculated quarterly. What is the periodic i
kkurt [141]
1. You have the following information:
 
 -The annual interest rate <span>is 7.2%.
 - The </span><span>simple interest is calculated quarterly.
 
 2. Then, to solve this exercise and calculate the </span><span>periodic interest rate of Marta's Account, you only have to divide the annual interest rate (7.2%) by 1/4 year. So, you have:
</span> 
 =(7.2%)(1/4)
 =(7.2%)/4
 =1.8%
 
 <span>What is the periodic interest rate of Marta's Account?
 
 The answer is: </span>1.8%
7 0
2 years ago
An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, wh
Harrizon [31]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

3 0
2 years ago
A psychology student wishes to investigate differences in political opinions between business majors and political science major
Veseljchak [2.6K]
The answer is C.................................................
7 0
2 years ago
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