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jeka57 [31]
3 years ago
12

Solve each equation 4x=38-2(x+4)

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

To solve this equation, we will have to solve for x.

4x = 38 - 2(x + 4)

Distribute the 2 on the right side of the equation.

4x = 30 - 2x - 8

Combine like terms.

4x = 30 - 2x

Add 2x to both sides of the equation.

6x = 30

Divide both sides by 6.

x = 5

So the solution to the equation would be x = 5.

I hope you find my answer and explanation helpful. Happy studying. :)

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The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. Sh
yulyashka [42]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 25235

For the alternative hypothesis,

µ > 25235

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 27524

µ = population mean = 25235

s = samples standard deviation = 6000

t = (27524 - 25235)/(6000/√100) = 3.815

We would determine the p value using the t test calculator. It becomes

p = 0.000119

Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

6 0
3 years ago
Twelve square tiles, each measuring 5 3/8 inches
Sloan [31]

Answer:

64 1/2

Step-by-step explanation:

5x12=60

3/8x12/1= 36/8= 9/2 9/2=4 1/2

60+4 1/2= 64 1/2

5 0
2 years ago
5x + qy, when x=8,y=11
Thepotemich [5.8K]

Answer:

40+11q

Step-by-step explanation:

5x+qy when x=8, y=11

5(8)+q(11)=40+11q

6 0
3 years ago
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I thinkmis B
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Write an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 )
ivolga24 [154]

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)   ....   x_1 = 3 and y_1 = - 1

m is the slope to  x - 3y = 9 because (lines are  parallel )

calculate : m   by equation   x - 3y = 9 :

x = 3y +9

divid by : 3      1/3 x = y + 3

y =  (1/3) x - 3      so : m = 1/3

an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 ) is :

y +1 = (1/3)(x - 3)

4 0
3 years ago
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