MATHEMATICS MIDDLE SCHOOL

Simplify the expression (3c^2 d^5)^2 . Show your work and justify each step.

Answers

Answer 1

Answer:

Answer:

9c^4d^10

Step-by-step explanation:

You need to square everything within the expression since its squared for everything in the paranthesis.

(3c^2)^2*(d^5)^2

9c^4*d^10

9c^4d^10

Answer 2

Answer: get the square root then distribute the two to each variable

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Identify the percent of change as an increase or a decrease. Then find the percent of change. 72 paper clips to 63 paper clips
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Eight more than the number of children is 24

Answers

$x-the\ number\ of\ children\n\nx+8=24\ \ \ |subtract\ 8\ from\ both\ sides\n\n\boxed{x=16}$

Use the distributive property to form a new expression form 42+56 by finding the GCM of the addends

Answers

7 (8+6)
because the gcm is 7 and 8 + 6 goes to equal 42 and 56

Adele started her homework at 9:10. she finished at 9:45. how long did she spend on her homework?

Answers

9:45-9:10=35
she spent 35 minutes

She spent 35 minutes because 9:45 - 9:10 is 35.

A survey of 96 students on campus showed that 29 read the Campus Observer student newspaper that morning, 24 read the news via the Internet that morning, and 20 read the local city paper that morning. Eight read the Campus Observer and the Internet news that morning, while four read the Internet news and the local paper, seven read the Campus Observer and the local city paper, and one person read the Campus Observer, the Internet news, and the local paper. (a) How many read the Internet news or local paper but not both? (b) How many read the Internet news and the local paper but not the Campus Observer? (c) How many read the Internet news or the Campus Observer or both?

Answers

Final answer:

In total, 40 students read either the Internet news or the local paper, but not both; 4 students read both the Internet news and the local paper but not the Campus Observer; and 45 students read either the Internet news, the Campus Observer, or both.

Explanation:

To answer your question, we will use the concept of sets in Mathematics and the principles of the union and intersection of sets. A Venn Diagram can be very helpful in picture this.

(a) How many read the Internet news or local paper but not both?
First, we need to find the total number of students who read either the Internet news or the local paper. This would be the number of students who read the Internet news, plus the number of students who read the local paper, minus the number of students who read both. That would be 24 + 20 - 4 = 40 students.

(b) How many read the Internet news and the local paper but not the Campus Observer?
The answer is given directly in the question. These are the students who read both the Internet news and the local paper, but did not read the Campus Observer, which is 4 students.

(c) How many read the Internet news or the Campus Observer or both?
For this, we add the number of students who read the Internet news to those who read the Campus Observer, and subtract the number of students who read both. This gives us 24 + 29 - 8 = 45 students.