MATHEMATICS MIDDLE SCHOOL

Find the least common denominator for these two rational expressions a / a^2 - 6a + 9

7 / a^2 - 8a + 15

Answers

Answer 1
Answer:

factor the 2 denominators:-


a^2 - 6a + 9 = (a - 3)(a - 3)


a^2 - 8a + 15 = (a - 3)(a - 5)


((a - 3) is common to both sets of factors so the LCD is:-


(a - 3)(a - 3)(a - 5) or this can be written as (a -3)^2(a - 5)

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Professor henry knows from past experience that 30% of all homework papers handed in will be missing the name of the person who handed it in. In a class of 200, that is a problem. What is the probability that out of 200 homework papers,a) between 50 and 70 papers will be missing the name
b) at least 75 papers will be missing the name
c) at most 45 papers will be missing the name
d) exactly 65 papers will be missing the name

Answers

If you would like to know how many papers will be missing the name, you can calculate this using the following steps:

30% of 200 homework papers = 30% * 200 = 30/100 * 200 = 60 homework papers

The correct result would be a) between 50 and 70 papers will be missing the name.

A cylindrical soup can is 5.5 cm in diameter and 11.2 cm tall. What is the area of the label that covers the side of the can? Round your answer to the nearest hundredth.96.71 square centimeters
17.27 square centimeters
193.42 square centimeters
386.85 square centimeters

Answers

A= 2 \pi rh=2 \pi *2.75*11.2=96.71 [cm^(2)]

When is a polynomial the difference of two squares?

Answers

when you have
(a-b)(a+b) or a^2-b^2
When you have
(a-b)(a+b) or a²-b²

How many times does 33 go into 1108????

Answers

33.57575757575757 etc. times

How can i show my work for 2x-4= -10+x

Answers

Let me help you with that :)

2x - 4 = - 10 + x (we transfer the x from the right side, and transfer the  - 4 from the left side)

2x - x = - 10 + 4 (we calculate this)

x = -6

And that is the answer; x = - 6 :)

A liter is equal to 100 centiliters. Is a centiliter agreater measure than a milliliters? Explain.

Answers

if you use the metric system to organize things.... KHDUDCM
(i remember it as, "king henry died unfortunately drinking chocolate milk")
 the last c stands for centi and the last m stands for milli. if you use logic in this organizational structure than centiliters is greater, anything to the right of the metric is larger than the ones on the left

KHDUDCM = KILO, HECTO, DECA, UNITS, DECI, CENTI, MILLI

ANSWER: yes a centiliter is greater than a mililiter
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