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avanturin [10]
2 years ago
15

Find x in This equation. 2x+2=-4(x-5)

Mathematics
1 answer:
san4es73 [151]2 years ago
6 0

Hey there!

2x + 2 = -4(x - 5)

2x + 2 = -4(x) - 4(-5)

2x + 2 = -4x + 20

ADD 4x to BOTH SIDES

2x + 2 + 4x = -4x + 20 + 4x

SIMPLIFY IT!

6x + 2 = 20

SUBTRACT 18 to BOTH SIDES

6x + 2 - 2 = 20 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: 20 - 2 because it help solve for the x-value

NEW EQUATION: 6x = 20 - 2

SIMPLIFY IT!

6x = 18

DIVIDE 6 to BOTH SIDES

6x/6 = 18/6

CANCEL out: 6/6 because it give you 1

KEE: 18/6 because it help solve for the x-value

NEW EQUATION: x = 18/6

SIMPLIFY IT!

x = 3

Therefore, your answer is: x = 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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The population standard deviation for the typing speeds for secretaries is 4 words per minute. If we want to be 90% confident th
Oksana_A [137]

Answer:

The minimum sample size that should be taken is 62.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

If we want to be 90% confident that the sample mean is within 1 word per minute of the true population mean, what is the minimum sample size that should be taken

This is n when M = 1, \sigma = 4. So

M = z*\frac{\sigma}{\sqrt{n}}

1 = 1.96*\frac{4}{\sqrt{n}}

\sqrt{n} = 4*1.96

(\sqrt{n})^{2} = (4*1.96)^{2}

n = 61.5

The minimum sample size that should be taken is 62.

8 0
3 years ago
if your car gets 26 miles per gallon how much does it cost to drive 420 miles when gas is $2.80 per gallon​
Kitty [74]

Answer:

$45.22

Step-by-step explanation:

The number of miles per gallon can be represented by the ratio:

\frac{miles}{gallon}=\frac{26}{1}

Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:

\frac{26}{1}=\frac{420}{x}, where 'x' is the number of gallons of gas

cross-multiply and divide:  26x = 420 or x ≈ 16.15 gallons

If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:

16.15 x $2.80 = $45.22

5 0
3 years ago
Which of the following terms correctly describe the object below?
Anuta_ua [19.1K]

Answer:

B,E and F are your answers

4 0
3 years ago
Read 2 more answers
Bentley is at Sasha’s birthday party where there are 10 girls and 12 boys waiting for a turn to bob for apples. Sasha’s mom will
klio [65]

Answer:

The probability that Bentely will be selected first = 0.046

Step-by-step explanation:

The person will be randomly selected, it is not stated that sex is considered in the selection.

The total number of people present at the party = 10 + 12 = 22

The probability that Bentely will be selected first = 1/22

The probability that Bentely will be selected first = 0.046

7 0
3 years ago
What is the image of (7, -3) after a reflection over the x-axis?
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Answer:(7,3)

Step-by-step explanation:

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