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alekssr [168]
4 years ago
15

Find the missing height, when you know the area of the rectangle 9+9+?+?=126

Mathematics
1 answer:
xxTIMURxx [149]4 years ago
6 0

Answer:

54

Step-by-step explanation:

First take

9 + 9 = 18

Then,

126 - 18 = 108

Then,

108 / 2 = 54

Which is the height

Hope this helps you. :)

Have a good day!

This formula counts for both height and width when you have the area.

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natka813 [3]
That Would BE A and C
8 0
3 years ago
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A printer takes 30 minutes to print a banner and a poster. I will take 50 minutes to print a banner and three posters. How long
qwelly [4]

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

b+p=30\\b+3p=50

We can solve for the unknown "p" by subtracting term by term in the equation set above:

b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

b+p=30\\b+10=30\\b=20

So, it takes 20 minutes to print a banner.

8 0
3 years ago
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one’s annual income to
Vedmedyk [2.9K]

Answer:

Option C)

50 + \dfrac{I}{40}          

Step-by-step explanation:

We are given the following in the question:

I is the annual income of a person in a country R

2 percent of one’s annual income =

\dfrac{2}{100}\times I = 0.02I

1 percent of one’s annual income =

\dfrac{1}{100}\times I = 0.01I

Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

=\dfrac{0.01I + 100}{2}

Income tax =

2 percent of one’s annual income + Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

= 0.02I + \dfrac{100+0.01I}{2}\\\\=50 + \dfrac{0.04I + 0.01I}{2}\\\\=50 + \dfrac{0.05I}{2}\\\\= 50 + \dfrac{I}{40}

Thus, income tax is given by

Option C)

50 + \dfrac{I}{40}

6 0
3 years ago
Evaluate the expression: –(31 + 2) + 72 – (–5)2.
Rudiy27

Answer:

 14

Step-by-step explanation:

Order of operations rules require that we do any work inside parentheses first.  Thus,

–(31 + 2) + 72 – (–5)^2

becomes:

     -33    + 72 -  25, or

               14

Important:  Please use " ^ " to denote exponentiation; (-5)2 is incorrect, whereas (-5)^2 or (-5)² is correct.

4 0
3 years ago
Please help me!!! :(
PSYCHO15rus [73]

Answer:

15.75x^{10}y^{19}

Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}

Our 5th term here is: \frac{63x^{10}y^{19}}{4} which is equal to 15.75x^{10}y^{19}

~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~

4 0
3 years ago
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