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Goshia [24]
3 years ago
8

Five divided by the difference of a number and 8 equals the quotient of 10 and the sum of a number and 7. Find the number.

Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Let the number be x

Five divided by the difference of the number and 8 means

5 / (x-8) and this is

equals the quotient of 10 and the sum of a number and 7.This means

10 / (7+x)

Therefore,

5 / (x-8) = 10 / (7+x)

Cross multiplying,

5(7+x) = 10(x-8)

35 + 5x = 10x - 80

5x - 10x = -80- 35

-5x = - 115

x = -115/5 = 23

2)

If Jon can paint the fence in 3 hours

This means Jon can paint the fence in 1/3 per hour

If Karen can paint it in 5 hours

This means Karen can paint the fence in 1/5 hours

Their combined rate is additive since they work simultaneously. Jon doesn't stop for Karen to work and Karen doesn't stop for Jon to work.

Their combined rate is

1/3 + 1/5 = 8/15

Let's assume the combined time is t hours.

The combined time per hour is 1/t per hour. Therefore 1/t = 8/15

t = 15/8 = 1.875 hours

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Use the grouping method to factor this polynomial completely.<br> 3x3 + 12x2 + 2x + 8
dezoksy [38]

Answer:

(3x^2 + 2)(x + 4).

Step-by-step explanation:

3x3 + 12x2 + 2x + 8

3x^2(x + 4) + 2(x + 4)   The  x + 4 is common to the 2 groups so we have:

(3x^2 + 2)(x + 4).

3 0
3 years ago
I need help with this question! thank u :)
cestrela7 [59]
Presumably d meanst distance and t means time.

When t = 1, d = 2.5
When t = 3, d = 4

d = mt + b
2.5 = m + b [t = 1]
4.0 = 3m + b [t = 2]
1.5 = 2m [subtract]
m = .75 = slope
b = 1.75 = d-intercept
d = .75t + 1.75
d = 15/4 + 7/4 [t = 5]
d = 22/4 = 5.5 m from sensor
6 0
2 years ago
Which sampling method is MOST appropriate in estimating the average number of votes for each candidate in an election across a c
kaheart [24]

Answer:

B. Stratified sampling, because there are specific subgroups to investigate.

Step-by-step explanation:

Stratified Sampling is a sampling method and is used when the population has subgroups with different characteristics. Random sampling is applied in each of the sub-groups <em>proportional </em>to their size and then these samples <em>combined </em>together to create sample of the study.

Since there are three towns with people from different occupations ( retirees,business owners, office workers), it is better to use stratified sampling method.

4 0
3 years ago
I need help asap please ​
Leya [2.2K]

Answer:

the answer is that of equations 1

6 0
3 years ago
Read 2 more answers
which shows the students in order from greatest test score to lease test score Alex 0.95 Octavia 16/20 Tonya 9/10 Wilson 0.87 ​
Nonamiya [84]

Answer:

Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)

Step-by-step explanation:

To solve this, we have to convert all of the scores into either a decimal or a fraction. In this case, I will be solving all of them into decimals since it is easier.

Alex: 0.95

Octavia: 16/20 = 0.80

Tonya: 9/10 = 0.90

Wilson: 0.87

Therefore, we can order these from greatest score to least score.

Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)

4 0
2 years ago
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