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Kobotan [32]
3 years ago
12

Which of the following is a solution to the equation 3/4x - 12 = -18?

Mathematics
2 answers:
Temka [501]3 years ago
4 0

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Colt1911 [192]3 years ago
3 0

Answer:

x = -8

Step-by-step explanation:

\frac{3}{4} x - 12 =  - 18

i) multiply both sides of equation with 4

4(\frac{3}{4} x - 12) = 4( - 18)

(4 \times  \frac{3}{4} x) + (4 \times ( - 12)) =  - 72

3x - 48 =  - 72

ii) move -48 to the right-hand side and change its sign

3x =  - 72 + 48

iii) calculate the sum

3x =  - 24

iv) divide both sides of equation with 3

\frac{3x}{3}  =  \frac{ - 24}{3}

x =  - 8

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Olegator [25]

6/3 = 2

how many times does 3 go into 6

7 0
3 years ago
Read 2 more answers
Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes bel
Ann [662]

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7709

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02

The margin of error for a 90% confidence interval when n = 45 is 10.02.

3 0
3 years ago
Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she s
Sav [38]

Answer:

fjfjfjfjfjfj

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Ben, Tim, and Sam have to do a certain job. Ben can finish the job in 5 hours. Tim can finish the job in 6 hours. Sam can finish
Brut [27]

x is 7.5 hours

Step-by-step explanation:

Ben, Tim, and Sam have to do a certain job

  • Ben can finish the job in 5 hours
  • Tim can finish the job in 6 hours
  • Sam can finish the job in x hours
  • The three of them can finish the job in 2 hours if they work together

We need to find x

∵ Ben can finish the job in 5 hours

∴ The rate of Ben = \frac{1}{5}

∵ Tim can finish the job in 6 hours

∴ The rate of Tim = \frac{1}{6}

∵ Sam can finish the job in x hours

∴ The rate of Sam = \frac{1}{x}

They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2

∵ They can finish the job in 2 hours if they work together

∴ \frac{1}{5}+\frac{1}{6}+\frac{1}{x}=\frac{1}{2}

To add the fractions find the LCM for all denominators to make all fractions with same denominators

∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,

- Divide it by each denominator to find the new numerators

∵ 30 x ÷ 5 = 6 x , 30 x ÷ 6 = 5 x , 30 x ÷ x = 30

- Change all the denominators to 30 x and then write the new

   numerators of each fraction

∴ \frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}

Add the numerators and put the sum over 30 x

∵ \frac{11x+30}{30x}=\frac{1}{2}

- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

- Simplify the both sides

∴ 22 x + 60 = 30 x

- Subtract 22 x from both sides

∴ 60 = 8 x

- Divide both sides by 8

∴ 7.5 = x

∴ The value of x is 7.5 hours

x is 7.5 hours

Learn more:

You can learn more about the word problems in brainly.com/question/10712420

#LearnwithBrainly

5 0
3 years ago
Please help me with this math problem urgent
Luba_88 [7]

Answer:

11/5

Step-by-step explanation:

We can find the slope by

m = (y2-y1)/(x2-x1)

   = (5 - -6)/(-4 - -9)

   = (5+6)/(-4+9)

    = 11/5

4 0
3 years ago
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