MATHEMATICS HIGH SCHOOL

Determine whether each statement is true or false.Statement
True
False
The expressions b÷4 and 14b are equivalent.
The expressions 5z−z and 3z are equivalent.
The expressions a+b+c and 3a are equivalent.
The expressions 3m+3m and 6m are equivalent.

Answers

Answer 1
Answer: False
False
False
False
Answer 2
Answer:

Answer:

All of them are false.

Step-by-step explanation:

Related Questions

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24+ =120÷3what's supposed to be in the space?
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What is the relationship between ratios 10/24 and 5/12, proportional or non-proportional? A. Proportional B. Non-proportional

What is the result if you divide –12x8y8 by 3x4y2?a. 4x4y6
b. 4x2y4
c. –4x2y4
d. –4x4y6

Answers

When dividing two numbers with the same base but with different powers, you subtract the second power from the first and keep the base. So in our case, -12*x^8*y^8 / 3*x^4*y^2 = -4*x^4*y^6. The correct answer is d.

Answer:

option d is correct

-4x^4y^6

Step-by-step explanation:

Using exponent rules:

(a^n)/(a^m) = a^(n-m)

Given that:

If you divide -12x^8y^8 by 3x^4y^2

⇒(-12x^8y^8)/(3x^4y^2)

⇒(-4x^8y^8)/(x^4y^2)

Using exponent rules, we have;

⇒-4x^(8-4)y^(8-2)

⇒-4x^4y^6

Therefore, If you divide -12x^8y^8 by 3x^4y^2 we get; -4x^4y^6

In a classroom,1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students in the class.How many students are wearing a shirt other than a blue or white?

Answers

Total number of students in the class = 36
Number of students wearing blue shirts = (1/6) * 36
                                                                 = 36/6
                                                                 = 6
Number of students wearing white shirts = (2/3) * 36
                                                                  = 2 * 12
                                                                  = 24
Then
Number of students not wearing blue or white shirts in the class = 36 - (6 + 24)
                                                                                                        = 36 - 30
                                                                                                        = 6
So 6 students in the class are wearing a shirt other than a blue or a white shirt. I hope the procedure is clear enough for you to understand.

6 students

Further explanation

Given:

In a classroom,

  • ¹/₆ of the students are wearing blue shirts, and
  • ²/₃ are wearing white shirts.

There are 36 students in the class.

Question:

How many students are wearing a shirt other than a blue or white?

The Process:

Let us calculate the number of students who are wearing blue shirts and white shirts.

Blue shirts:

\boxed{ \ = (1)/(6) * 36 \ students \ }

\boxed{\boxed{ \ 6 \students \ }}

White shirts:

\boxed{ \ = (2)/(3) * 36 \ students \ }

We cross out 36 and 3 because they both can be divided.

\boxed{ \ = (2)/(1) * 12 \ students \ }

\boxed{\boxed{ \ 24 \ students \ }}

And now, we will find out how many students are wearing a shirt other than blue or white.

\boxed{ \ = 36 - 6 - 24 \ }

\boxed{\boxed{ \ 6 \students \ }}

- - - - - - - - - -

Quick Steps:

Step-1:prepare a proportion of students who wear a shirt other than blue and white

\boxed{ \ = 1 - (1)/(6) - (2)/(3) \ }

\boxed{ \ = (6)/(6) - (1)/(6) - (4)/(6) \ }

\boxed{\boxed{ \ (1)/(6) \ }}

Step-2: calculate how many students who wear a shirt other than blue and white

\boxed{ \ = (1)/(6) * 36 \ students \ }

\boxed{\boxed{ \ 6 \students \ }}

Learn more

  1. What is the area of the whole mosaic in square inches? brainly.com/question/982984
  2. What fraction of the box is left (Kim and Courtney)? brainly.com/question/37157
  3. What is the amount of apple juice in each bottle? brainly.com/question/5798698

Keywords: in  a classroom, 1/6 of the students, wearing blue shirts, 2/3, white shirts, there are 36 students, in the class, how many students, other than a blue or white, proportion

Dr. Jimand poses as a student in his study of Bosnian students who are adjusting to college life in the United States. Dr. Jimand lives in the dorm with the students and attends classes with them. What research method is he using?A. formal experimentation
B. survey method
C. clinical method
D. naturalistic observation

Answers

Answer:

D. naturalistic observation

Step-by-step explanation:

Naturalistic observation is a method of research that consists in observing subjects in their natural environment without any exterior interferences that could alter their behavior. By posing as a student, Dr. Jimand is inserting himself among the other students to observe their natural behavior. For instance, if they were told that there was a doctor observing them, the students' behavior could change and that wouldn't be a true naturalistic observation.

Solve the compound inequality, showing your work. Name the solution set and then draw the graph of the solution set.y-2<-5 or y-2>5

Answers

y-2<-5 \n y-2+2<-5+2 \n y<-3 \n \n y-2>5 \n y-2+2>5+2 \n y>7

The solution set is { y | y < -3 or y > 7}

Graph is attached

A photocopy was made of julie's watercolor painting. the photocopy resized the painting so that it measured 4 inches wide by 7 inches long. if the actual painting is 16 inches wide, what is the length A.28 inches
B.9.14 inches
C.38 inches
D.64 inches

Answers

First, set up a ratio.

4:7= 16:x
You mutiply 4 by 4 to get 16, so you multiply 4 to 7.

4:7= 16:28
Therefore, the answer is A, 28 inches.

5)Trevon's school is selling tickets to the annual dance competition. On the first day of ticket salesthe school sold 5 senior citizen tickets and 8 student tickets for a total of $94. The school took in
$164 on the second day by selling 10 senior citizen tickets and 13 student tickets. Find the price
of a senior citizen ticket and the price of a student ticket

Answers

Answer:

$8 for student tickets and $4.40 for senior tickets

Step-by-step explanation:

10 (5x +8y=94)

5 (10x +13y=164)

50x+80y=940

- 50x +65y=820

80y-65y= 940-820

15y= 120/15

y=8

(y is the cost of student tickets)

5x+8y=94

5x+8(9)=94

5x+72=94-72

5x=22/5

x= 4.4
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