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3 years ago

15

Apply the distributive property to simplify the expression 8(3x - 6)

1 answer:

Korvikt [17]3 years ago

5 0

24x-48 because you multiply the 8 with 3x and 8 with -6

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Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay

natka813 [3]

Answer:

$58.57

Step-by-step explanation:

7 0

3 years ago

what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)

gavmur [86]

Answer:

y = $\frac{3}{8}$ x + $\frac{41}{8}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = $\frac{7-4}{5+3}$ = $\frac{3}{8}$ , hence

y = $\frac{3}{8}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (5, 7 ), then

7 = $\frac{15}{8}$ + c ⇒ c = 7 - $\frac{15}{8}$ = $\frac{41}{8}$

y = $\frac{3}{8}$ x + $\frac{41}{8}$ ← equation in slope-intercept form

6 0

3 years ago

A study on students drinking habits wants to determine the true average number of alcoholic drinks all UF male students have in

Butoxors [25]

Answer:

B. 97

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:

$\alpha = \frac{1-0.95}{2} = 0.025$

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 $1-0.025 = 0.975$ , so $z = 1.96$

Now, find 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.

How many students should be sampled to be within 1 drink of the population mean with 95% probability?

This is n when $M = 1$

We know from preliminary studies that the standard deviation is around 5, so $\sigma = 5$

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

$1 = 1.96*\frac{5}{\sqrt{n}}$

$\sqrt{n} = 5*1.96$

$(\sqrt{n})^{2} = (5*1.96)^{2}$

$n = 96.04$

We round up, so the correct answer is:

B. 97

3 0

3 years ago

What integer value of n will satisfy n + 10 > 11 and -4n > -12?

kari74 [83]

Answer:

2

Step-by-step explanation:

4 0

3 years ago

In our school Auditorium 1/6 of the students are 5th graders, 1/3 are fourth graders, and 1/4 of the remaining students are 2nd

Galina-37 [17]

5th graders: $\frac{1}{6}$ x 96 = 16

4th graders: $\frac{1}{3}$ x 96 = 32

Remaining students: 96 - 16 - 32 = 48

2nd graders: $\frac{1}{4}$ x 48 = 12

Answer: 12 students

*********************************************************************************************

here is a breakdown by grade level:

5th graders = 16, 4th graders = 32, 2nd graders = 12, all other grades = 36

6 0

4 years ago