MATHEMATICS MIDDLE SCHOOL

What is the solution to 48 - 3x) > 6x-8?

Answers

Answer 1

Answer:

Step-by-step explanation:

(48-3x)>6x-8

48-3x>6x-8

Collecting like terms, we have

-3x-6x>-8-48

Moving variables or numbers from one side to the other changes the sign it carries

-9x>-56

Divining both sides by -9 changes the inequality sign

x<56/9

x<6.22

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Which of the following is an arithmetic sequence?2, 4, 8, 16,...
12, 4, 4/3, 16/3...
1/2, -1/2, -3/2, -5/2 ...
1/2, -1/2, 1/2, -1/2 ...

Answers

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

$4 - 2 = 2$ .
$8 - 4 = 4$ .
$16 - 8 = 8$ .

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

$4 - 12 = -8$ .
$\displaystyle (4)/(3) - 4 = -(8)/(3)$ .
$\displaystyle (16)/(3) - (4)/(3) = (12)/(3) = 4$ .

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -(1)/(2) - (1)/(2) = -1$ .
$\displaystyle -(3)/(2) - \left(-(1)/(2)\right) = -(3)/(2) + (1)/(2) = -1$ .
$\displaystyle -(5)/(2) - \left(-(3)/(2)\right) = -(5)/(2) + (3)/(2) = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -(1)/(2) - (1)/(2) = -1$ .
$\displaystyle (1)/(2) - \left(-(1)/(2)\right) = (1)/(2) + (1)/(2) = 1$ .
$\displaystyle -(1)/(2)\right - (1)/(2) = -1$ .

The differences are varying between $1$ and $-1$ . As a result, this option is not an arithmetic sequence.

Answer: Number 3. (1/2, -1/2, -3/2, -5/2 ...)

Step-by-step explanation:

1/2 - 1 = -1/2. -1/2 - 1 = -3/2. Etc.

Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?

Answers

Shaded circles = 4
Total circles = 12

$(shaded~circles)/(total~circles)$ = $(4)/(12)$

$(4)/(12)$ as a simplified expression = $(2)/(6)$
We can simplify it even more = $(1)/(3)$

Fraction = $(1)/(3)$

Equivalent decimal = 1 ÷ 3 = 0.33

Card game has 10 cards, what is the probability that the next card is higher?

Answers

What is the probability that the next card is higher than...
1? 9/10
2? 4/5
3? 7/10
4? 3/5
5? 1/2
6? 2/5
7? 3/10
8? 1/5
9? 1/10
10? 0

A local car wash is open 8 hours each day. It uses 1/3 of a container of wax for each car.

Answers

Answer:

22.7

Step-by-step explanation:

8*8.5=68

68/3

22.7

ta da

Step-by-step explanation:

57iee873jdbfbfburr893883

Scooter rides his skateboard every day after school. He often stops and do some tricks. On Monday, he rode for 2 hours and went 3 miles. By the end of the week, he had gone a total of 11 miles, which took him a total of 9 hours.Did he ride the same time and distance every day after school? Why or why not?

Which was faster, his rate Monday or his average rate for the week? How do you know?

Answers

Monday was faster than his average rate for the week

What percent of a data set is represented in q1

Answers

25%. There are 4 parts in a box plot (MIN,Q1,Q2,MAX and the median is just the middle of those.) , each 25 percent.

The answer would be 25 percent because 100 divided by 4 is 25.

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