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2 years ago

If x/5+6=-14 then x equals

Mathematics

1 answer:

yanalaym [24]2 years ago

7 0

Answer:

x = - 100

Step-by-step explanation:

Given

$\frac{x}{5}$ + 6 = - 14 ( subtract 6 from both sides )

$\frac{x}{5}$ = - 20

Multiply both sides by 5 to clear the fraction

x = 5 × - 20 = - 100

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In a race, Jane ran 3 minutes less than twice as many minutes as Mike ran. Write an expression to represent the number of minute

a_sh-v [17]

Answer:

n * 2 - 3

Step-by-step explanation:

Let's say n is the number of minutes Mike ran then the expression would be

n * 2 - 3

4 0

2 years ago

Read 2 more answers

19 ft 17ft 19 ft Volume =

Elis [28]

Answer:

1,022.83 ft³

Step-by-step explanation:

volume= ⅓×½××19×17×19 = 1,022.83 ft³

3 0

2 years ago

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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

2 years ago

G(x) = -2x -9 what is g(-7)?

tresset_1 [31]

Answer:

g(-7) = 5

Step-by-step explanation:

Step 1: Define

g(x) = -2x - 9

g(-7) is x = -7

Step 2: Substitute and Evaluate

g(-7) = -2(-7) - 9

g(-7) = 14 - 9

g(-7) = 5

4 0

2 years ago

Read 2 more answers

A dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours. At this constant rate, how long does i

Novosadov [1.4K]

Answer:

$\frac{4}{5}$ hour

Step-by-step explanation:

Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.

We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.

We will use proportions to solve our given problem as:

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

We will equate both speeds as:

$\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}$

$\frac{\frac{13}{10}}{x}=\frac{\frac{13}{4}}{2}$

$\frac{13}{10\cdot x}=\frac{13}{4\cdot 2}$

Cross multiply:

$13\cdot 10\cdot x=13\cdot 4\cdot 2$

$10\cdot x=4\cdot 2$

$\frac{10\cdot x}{10}=\frac{4\cdot 2}{10}$

Therefore, it will take $\frac{4}{5}$ hour to complete $1\frac{3}{10}$ mile state fair race.

7 0

3 years ago