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3 years ago

Complete the solution of the equation. Find the value of y when x equals -3. -x + 3y = 18

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

Step-by-step explanation:

-x + 3y= 18

X= 3

-(-3)+3y =18

3 + 3y= 18

Subtract 3 from both sides.

3y = 15

Divide by 3 on both sides.

Y= 5

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Giselle works as a carpenter and as a blacksmith. She earns \$20$20dollar sign, 20 per hour as a carpenter and \$25$25dollar sig

Pani-rosa [81]

She earns 20 dollars as a carpenter and 25 dollars as a blacksmith

b+c=30 hours since she works 30 hours a week

25b+20c=690 since she earns 690 dollar totally and earns 25 dollars an hour as a blacksmith and 20 dollars an hour as a carpenter

lets multiply b+c=30 by -20

-20b-20c=-600

if we substract that from

25b+20c=690

5b=90

b=18 she worked as a blacksmith for 18 hours

4 0

3 years ago

You have drawn a simple random sample of 36 college students, asking each student how much rent they pay per month. You obtain a

Karo-lina-s [1.5K]

Answer:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

$573+1.690\frac{22}{\sqrt{36}}=579.1967$

And the 90% confidence interval would be between [566.80 and 579.20]

Step-by-step explanation:

Information given

$\bar X=573$ represent the sample mean

$\mu$ population mean (variable of interest)

s=22 represent the sample standard deviation

n=36 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=36-1=35$

The Confidence level is 0.90 or 90%, the significance would be $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical value for this case would be $t_{\alpha/2}=1.690$

And replacing we got:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

$573+1.690\frac{22}{\sqrt{36}}=579.1967$

And the 90% confidence interval would be between [566.8033 and 579.1967]

6 0

3 years ago

How much money should be deposited today in an account that earns 8% compounded monthly so that it will accumulate to 13,000 tho

gladu [14]

Answer:

$10,234.31

Step-by-step explanation:

A suitable financial calculator or spreadsheet can evaluate the future value function for you. It will tell you that $10,234.31 must be deposited today to have $13,000 in three years, when interest is 8% compounded monthly.

You are solving for P:

13000 = P(1 +0.08/12)^(12×3)

P = 13000/(1 +0.08/12)^36 ≈ 10,234.31

8 0

2 years ago

Simplify the expression <br> 4(-8x+5)-(-33x-26)=

Pavel [41]

Answer:

x+46

Explanation:

4(−8x+5)−(−33x−26)

Distribute the Negative Sign:

=4(−8x+5)+−1(−33x−26)

=4(−8x+5)+−1(−33x)+(−1)(−26)

=4(−8x+5)+33x+26

Distribute:

=(4)(−8x)+(4)(5)+33x+26

=−32x+20+33x+26

Combine Like Terms:

=−32x+20+33x+26

=(−32x+33x)+(20+26)

=x+46

3 0

3 years ago

Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week

IgorC [24]

Answer:

288

Step-by-step explanation:

it's pretty simple, if u do 96 * 3, it will be that. yw :)

4 0

3 years ago

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