Simplify the problem

Eight less than four times the number c is twenty.<br> What is the value of c?

olganol [36]

Answer:

c=7

Step-by-step explanation:

The problem says that 8 less than 4 times c is less than twenty, so we can first show 8 less than 20.

4c -( I did this because it said 4 times the number c)

Then, we show 8 less than that.

4c-8

It says it is twenty, and that means it equals twenty.

4c-8=20

Now we solve!

4c-8=20

+8 +8

*we add 8 to both sides*

4c=28

*we divide both sides by 4 since we want to isolate c*

c=28/4

c=7

I hope this helped!

6 0

3 years ago

Read 2 more answers

A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a

spin [16.1K]

Y=5x+12
Y being the total amount and x being the number of games

3 0

3 years ago

C+2c+12=75 find the value of c

tamaranim1 [39]

Answer:

c+2c+12=75

c = 21

Steps:

c+2c+12=75

Simplify both sides of the equation.

c+2c+12=75

(c+2c)+(12)=75(Combine Like Terms)

3c+12=75

Subtract 12 from both sides.

3c+12−12=75−12

3c=63

Divide both sides by 3.

3 0

3 years ago

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

5 0

2 years ago

The cost to rent a car is $39.50 plus $0.25 per mile. If you only have $80, what is the greatest number of miles that you can dr

Aloiza [94]

Answer:

the most she can drive is 162 miles

Step-by-step explanation:

4 0

3 years ago