Points V, W, X, Y, and Z are graphed on a number line. The coordinate of point V is –8. What points are at a distance of 5 units from point V?

Choose all answers that are correct.

A.
W = –13

B.
X = –8

C.
Y = –3

D.
Z = 3

Answers

Answer 1

Answer: Using the absolute value:
$|x-(-8)|=5\n|x+8|=5\nx+8=5 \vee x+8=-5\nx=-3 \vee x=-13$

A and C

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Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Another 35% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?

Answers

1. Perry surveyed 60 students at her school.
=> 0.45 of the students said that their favorite subject is math
=> 0.45 x 100 = 45%
Thus, 45 % of 60:
=> 60 * .45 = 27
35% of the student said their favorite is science:
=> 35% / 100 = 0.35
=> 35% 0f 60 equals:
=> 60 * .35 = 21
Thus, 27 – 21 = 6 of the student said that they love math over science.

Answer:

Its d 6

Step-by-step explanation:

A box if cereal has a volume of 384 cubic inches . If width of the box is 4 inches and the length is 8 inches , what is the height of the box?

Answers

first you multiply 4 by 8 and your equation becomes 384 equals 32x then you divide both sides by 32 and eventually get x equals 12

36 is 80% of what number

Answers

If 36 is 80% ( a piece) of a number. that means the number must be higher than 36

Changing the English to math:

36 = 80% x n (n being the number)
36= .8n (changed the percent to a decimal by moving it back two places
36 = .8n
.8 .8 I divided both sides by .8 - when you divide a number by a decimal (less than one) the number will become larger.
The answer is 45

A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year. Write and solve an equation to find the number of years it will take for the two clubs to have the same number of members.

Answers

Answer:

7 years

Step-by-step explanation:

Given: A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year

To Find: Write and solve an equation to find the number of years it will take for the two clubs to have the same number of members

Solution:

Total members in chess club= 500

chess club loosing members each year = 30

Number of members in chess club in year $\text{x}$

$500-30\text{x}$

Total members in Computer club= 150

chess club gaining members each year = 20

Number of members in chess club in year $\text{x}$

$150+20\text{x}$

Now,

When chess club and computer club have equal number of members

$500-30\text{x}$ = $150+20\text{x}$

$500-150=30\text{x}+20\text{x}$

$350=50\text{x}$

$\text{x}=7$

So,

It will take 7 years for two clubs to have the same number of members.

Well for this a t-chart type of graph would help but here's how you can do it:

key: ChC = chess club
CmC = computer club

ChC = 500 members ChC = losing 30/yr
CmC = 150 members CmC = gaining 20/yr

year 1 : ChC CmC
members: 470 / 170

or.... you can scrap that, here's the simpler version :
500 - 30x = 150 +20x

solution: x = 7

Hope this helps!

sarah took the advertising department from her company on a round trip to meet with a client. including sarah a total of 7 people took the trip.she was able to purchase coach tickets for $120 and first class tickets for $1020.she used her total budget for airfare for the trip,which was $2640.how many first class tickets did she buy? how many coach tickets did she buy?