6p, 6q, 6r, and 6s are like terms?

Answers

Answer 1

Answer:
they are not like terms because they don't have the same variable (letter)

Answer 2

Answer: No; they each have different letters/variables

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A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey. For the sample to accurately represent the population, about how many sixth graders should be chosen? A.7 B.8 C.14 D.16

Answers

About 8 sixth graders should be chosen.

What is direct proportion?

Direct proportion is a type of proportionality relationship. For direct proportion, as one value increases, so does the other value and conversely, as one value decreases, so does the other value.

Given that, A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey.

We know they are in direct proportion,

Number of sixth graders students = 160

Number of seventh graders students = 180

Number of eighth graders students = 140

If 9 seventh graders were part of a random sample of the population chosen to participate in a survey.

Let the number of sixth graders should be chosen to be 'x'.

Since, there will be direct proportion.

180/9 = 160/x

20 = 160/x

x = 160/20

x = 8

Hence, About 8 sixth graders should be chosen.

For more references on direct proportion, click;

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Answer:B-8

Step-by-step explanation:BECAUSE it was for me

When Quentin flew from New York to Atlanta,the pilot announced that they were flying at 33,000 feet.How many miles is this?Write as a mixed number.

Answers

There are 5280 feet in a mile. So, 33000/5280=6.25 miles. This is equivalent to 6 1/4 miles in fraction form.

Convert y=x squared +64x + 12 into graphing form

Answers

$To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \ form \n \n y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a) \n \ny = a(x - h)^2+k$

opens up for a > 0, and down for a < 0

$y=x^2 +64x + 12\n \na=1,\ b=64 \ c = 12 \n \nh = (-64)/(2)=-32 \n \n k = 12 -(64^2)/(4 )=12-(4096)/(4)=12-1024= -1012\n \ny = (x+32)^2-1012 \n \n This \ means \ the \ vertex \ of \ the \ parabola \ is \ at \ the \ point \ (-32, -1012)\n \n and \ the \ parabola \ is \ concave \ up.$

A jet travels 3950 miles from Chicago to London and then returns. The total flying time for the roundtrip is 16.5 hours. The return trip takes longer due to the wind. If the jet's average speed with no wind is 485 mi/hr, what is the average speed of the wind during the round trip flight? Round to the nearest mi/hr