Fractions and integer operations practice, I need help please.

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

Determine whether

lora16 [44]

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

$\frac{25^m}{5}$

Required

Determine an equivalent or nonequivalent expression

$(a)\ 25^{m-1$

We have:

$25^{m-1$

Apply law of indices

$25^{m-1} = \frac{25^m}{25}$

This is not equivalent to $\frac{25^m}{5}$

$(b)\ 25^{2m - 1}$

We have:

$25^{2m - 1}$

Apply law of indices

$25^{2m - 1} = \frac{25^{2m}}{25}$

This is not equivalent to $\frac{25^m}{5}$

$(c)\ 5^{2m-1}$

We have:

$5^{2m-1}$

Apply law of indices

$5^{2m-1} = \frac{5^{2m}}{5^1}$

$5^{2m-1} = \frac{5^{2m}}{5}$

Evaluate the numerator

$5^{2m-1} = \frac{25m}{5}$

This is an equivalent expression

4 0

3 years ago

G(t)=t squared - 2; Find g(9)

GaryK [48]

Answer:

79

Step-by-step explanation:

So we have the function:

$g(t)=t^2-2$

To find g(9), substitute 9 for t. Thus:

$g(9)=9^2-2$

Square:

$g(9)=81-2$

Subtract:

$g(9)=79$

So, our answer is 79.

And we're done!

4 0

3 years ago

A B C D (i only got 20 min)

lana66690 [7]

Answer:

d

Step-by-step explanation:

because how the line passes through the positive 4 and its a negative slope along with the fact that it goes down 3 over 2.

6 0

3 years ago

If you put 25ml into a glass how much water is needed

dlinn [17]

Answer: it is depends on what unit of measurement your look looking for

6 0

3 years ago