MATHEMATICS MIDDLE SCHOOL

The solar panels on the Jordan's home generate electricity. During the month of August, the Jordan family used 570 kilowatt hours of electricity. If their electric bill for August was $0.00, what amount of electricity did they generate that month?

Answers

Answer 1

Answer: $0.oo dollars the salar panal cause the sun to evaporate

Answer 2

Answer:

Final answer:

The Jordan family generated 570 kilowatt hours of electricity in August.

Explanation:

In order to determine the amount of electricity generated by the Jordan family in August, we need to find the difference between the electricity used and the electricity billed. The electricity used is given as 570 kilowatt hours. Since their bill was $0.00, this means that the electricity they generated covered their entire usage.

Therefore, the amount of electricity generated by the Jordan family in August is 570 kilowatt hours.

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Is 6/11 greater than or less than or equal to 9/10

Answers

less just cross mutiply it helps me out alot to do that Update: sorry I did that wrong I think it is greater than actually

Normally to compare 2 fractions, I would say to find a common denominator so you can compare them directly, however on this problem we can just use a little common sense to figure it out...

Look at 6/11. 6 is approximately half of 11 so 6/11 is approximately 1/2. Now look at 9/10. If 10/10 is one whole, 9/10 is approximately 1.

So you can look and see that 6/11 < 9/10 because 1/2 < 1

What is the value of c?

Answers

the sum of angle in the triangle = 180 °
so c = 180-(90+37)
c= 180-127
c= 53°

A carpenter has a board that is 18 1/2 long.He needs to cut as many 1 3/4 feet long pieces as possible.How many pieces can the carpenter cut?

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The carpenter can cut 10.5 pieces

What is the rate of 4 shirts for $32

Answers

You have to divide the amount $32 by the shirts 4 to get the answer

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The owner of a music store received a shipment of 1532 CDs. The CDs came in 37 boxes. The same number of CDs were in 36 boxes. How many CDs were in the remaining box?

Answers

The remaining box has 20 CD's.

What is Division ?

In mathematics, division is the process of dividing a number into equal parts and determining how many equal parts can be made.

It is given in the question that

The owner of a music store received a shipment of 1532 CDs.

The CDs came in 37 boxes.

The same number of CDs were in 36 boxes.

CDs were in the remaining box = ?

If we divide 1532 by 36 , we get a quotient of 42 and remainder of 20CD's

Which means if 42 CD's are placed equally in 36 boxes and then only 20 CD's will be left and that will be placed in the remaining box.

Therefore , the remaining box has 20 CD's.

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First you figure out how many were in each box (1532/37 =41.405....)
So you round that to 41 cds per box.

Now that you have figured out how many cds were in each box, you have to figure out the reamaining, and since we got a long number when dividing that means that it didnt go into the number without have extra.
So we multiply (41 • 37 = 1,517) now that we have figured out that total we subract that amount from the total amount of cds

(1,532 - 1,517 = 15)

So there was a total of 15 cds remaining.
Hope this helps!!!

Verify the identity tan x + cot x / tan x - cot x = 1/ sin^2x - cos^2x

Answers

$(\tan x+\cot x)/(\tan x-\cot x)=(1)/(\sin^2x-\cos^2x)\n\n\text{use}\ \tan x=(\sin x)/(\cos x),\ \cot x=(\cos x)/(\sin x)\n\n\tan x+\cot x=(\sin x)/(\cos x)+(\cos x)/(\sin x)=(\sin x\cdot\sin x)/(\sin x\cos x)+(\cos x\cdot\cos x)/(\sin x\cos x)\n\n=(\sin^2x+\cos^2x)/(\sin x\cos x)\n\n\text{use}\ \sin^2x+\cos^2x=1\n\n=(1)/(\sin x\cos x)\n\n\tan x-\cot x=(\sin x)/(\cos x)-(\cos x)/(\sin x)=(\sin^2x-\cos^2x)/(\sin x\cos x)$

$L_s=(\tan x+\cot x)/(\tan x-\cot x)=((1)/(\sin x\cos x))/((\sin^2x-\cos^2x)/(\sin x\cos x))=(1)/(\sin x\cos x)\cdot(\sin x\cos x)/(\sin^2x-\cos^2x)\n\n=(1)/(\sin^2x-\cos^2x)=R_s\n\nL_s=R_s\Rightarrow The\ identity.$

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