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3 years ago

Whats the answer to 6(3c-5d+6)

Mathematics

1 answer:

ella [17]3 years ago

6 0

Answer: 18c-30d+36

Step-by-step explanation:

Use the foil method to get rid of the parenthesis.

18c-30d+36

You can not combine any like terms to this is your answer.

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For the following pairs of equations explain why the equations are NOT equivalent.

Serga [27]

If you were to make both x's equivalent, you'd have to multiply the first equation by 2 to get rid of the coefficient, 1/2. However, you'd have to multiply 2 onto -8 as well, therefore the equation would turn into x - 16 = 18. That is not equivalent to x - 8 = 18.

7 0

2 years ago

What is six hundred eighty one million, seven hundred thousand in digit

Natasha2012 [34]

681,700,000 just like that six hunnit eight juan mill sebn hunnit thousand

4 0

3 years ago

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

What are the solution of x^2-2x+17=0

ddd [48]

Answer:

Step-by-step explanation:

$x^2-2x+17=0\qquad\text{subtract 17 from both sides}\\\\x^2-2x=-17\\\\x^2-2(x)(1)=-17\qquad\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2(x)(1)+1^2=-17+1^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-1)^2=-17+1\\\\(x-1)^2=-16$

$x-1=-4i\ \vee\ x-1=4i\qquad\text{add 1 to both sides}\\\\x=1-4i\ \vee\ x=1+4i$

4 0

2 years ago

Belle is going to make chili for a football party. It will take 1 hour and 10 minutes to prepare all the ingredients and assembl

MrRa [10]

Answer:

1:10pm

Step-by-step explanation:

1st, you add all the time needed to make the chili & cook it.

1 hour + 10 minutes + 1 hour + 40 minutes = 2 hours & 50 minutes.

Now you work backwards from 4:00pm.

You go back 2 hours & you would be at 2:00pm

Now you go back another 50 minutes & you would be at 1:10pm

To double check, you can add 2 hours & 50 minutes to 1:10pm & you would get 4:00pm

6 0

2 years ago