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Aleks04 [339]
3 years ago
9

Use the distributive property to remove the parentheses.

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

10x + 8y - 2

Step-by-step explanation:

-2(-5x – 4y+1) \\  \\  = ( - 2)( - 5x)  -  2 ( -  4y) - 2 \times 1 \\  \\  = 10x + 8y - 2

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Simplify expression (distributive property) 11(9+d) if correct I'll mark brainliest!
Juli2301 [7.4K]
11 x 9 is 99 so then you do 11 x d and that’s 11d so it would be 99+11d :)
3 0
3 years ago
Read 2 more answers
The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.
alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

(H + 12) (H - 5) = 0

Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

Having calculated the height of the television as 5 inches, the length which was given as H + 7 can now be calculated as

Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0
3 years ago
A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t repre
IrinaVladis [17]
For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2 
<span>The rate of change of area = d A/ d t = 2 pi r d r/d t </span>
<span>r= 2t, d r = 2 d t </span>
<span>This gives </span>
<span>d A/ d t = 2 pi 2t 2 d t = 8 pi t dt </span>
<span>Integrate it </span>
<span>A= 4 pi t^2. </span>
<span>After t=5, the area will be 100* 3.14 square= 314 square units.</span>
3 0
3 years ago
Read 2 more answers
Roger is paid $50 to sell videos of a play to an audience after the play is preformed.
konstantin123 [22]

Answer:

Roger can earn $510 at most.

Step-by-step explanation:

We are given the function



Which gives the earnings of Roger when he sells v videos. Since the play’s audience consists of 230 people and each one buys no more than one video, v can take values from 0 to 230, i.e.  



That is the practical domain of E(v)

If Roger is in bad luck and nobody is willing to purchase a video, v=0

If Roger is in a perfectly lucky night and every person from the audience wants to purchase a video, then v=230. It's the practical upper limit since each person can only purchase 1 video

In the above-mentioned case, where v=230, then



Roger can earn $510 at most.

3 0
3 years ago
According to a survey conducted by the U.S. Department of Health and Human Services, about 50% of U.S. adults age 18 and older a
liraira [26]

Using a confidence interval, we have that:

a) The range is from 48.8% to 51.2%.

b) Between 125,000 and 131,000 adults are registered organ donors.

<h3>What is a confidence interval?</h3>

A confidence interval is given by the <u>estimate plus/minus the margin of error</u>.

For this problem, we have that:

  • The estimate is of 50%.
  • The margin of error is of 1.2%.

The bounds of the range are given as follows:

  • 50% - 1.2% = 48.8%.
  • 50% + 1.2% = 51.2%.

Hence the range is from 48.8% to 51.2%.

<h3>What are the total numbers?</h3>

We have to find <u>48.8% and 51.2% of 255,200,373</u>, hence:

  • 0.488 x 255,200,373 = 124,537,782.
  • 0.512 x 255,200,373 = 130,662,591.

Rounded to hundredth thousand, between 125,000 and 131,000 adults are registered organ donors.

More can be learned about confidence intervals at brainly.com/question/25890103

#SPJ1

7 0
1 year ago
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