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djyliett [7]
2 years ago
8

Solve for x and explain the steps: 3x-6=4(2-3x)-8x

Mathematics
1 answer:
mote1985 [20]2 years ago
7 0

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

\frac{23x}{23}=\frac{14}{23} --> Divide both sides by 23

x = 14/23

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5m + 3 ( 8m +7 ) +4^2<br><br> Can someone help me
Pie

Answer:

29m+37?

Step-by-step explanation:

<em>Pemdas</em>

5m+3(8m+7)+4^2

Parentheses first: 5m+24m+21+4^2

Exponents next: 5m+24m+21+16

No multiplication or division so addition is last:

29m+37

These two can't add together because one has a variable.

7 0
2 years ago
There are 8 volunteers during the weekday and only 5 volunteers on the
MaRussiya [10]

Answer:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

Step-by-step explanation:

Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:

10: 8

1: 1

10 - 8 = 2

Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

6 0
3 years ago
Read 2 more answers
Each unit on the grid represents 2 kilometers. Find thedistance between Gabe's house and the library?
Lina20 [59]

Answer:

8km

Step-by-step explanation:

there are 4 unit between Gabe's house and the library so distance is 4×2=8km

5 0
3 years ago
If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability
xz_007 [3.2K]

Answer:  a) 0.99917  b)  0.7054  c) 0.9820

Step-by-step explanation:

Let X denotes the number of people are in favor of a proposed rise in school taxes.

Era re given that p(probability that a person is in favor of a proposed rise )= 0.65

Sample size : n= 100

Mean= np = 100(0.65)=65

Standard deviation: \sigma=\sqrt{np(1-p)}\\\\=\sqrt{100(0.65)(0.35)}\\\\=4.76969600708\approx4.77

a) Now, the probability that a random sample of 100 people will contain  at least 50 who are in favor of the proposition :

P(x\geq50)=P(\dfrac{x-\mu}{\sigma}\geq\dfrac{50-65}{4.77})\\\\=P(z\geq-3.144)\\\\=P(z-z)=P(Z

b) between 60 and 70 inclusive who are in favor;

P(60

c) fewer than 75 in favor.

P(x

3 0
3 years ago
1. Hope's employer deposits her paycheck directly into her checking account. How much would her employer have
nadya68 [22]

Answer:

$284.79

Step-by-step explanation:

Hope has $284.79 deposited into his account.  Hope's will receive a paycheck every two weeks.                                                        

7 0
3 years ago
Read 2 more answers
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