Ask question

Ask question

All categories

2 years ago

8

Rachel's cell phone company charges $0.10 per minute. She used 350 minutes last month and paid $84. writ and solve a linear equa

tion to find her bill next month if she uses 300 minutes

1 answer:

dimaraw [331]2 years ago

4 0

Answer:

79

Step-by-step explanation:

cuz,
x equals the number of minutes so use the y slope formula

0.10(x)+the intercept = y
0.10(350)+the intercept = 84
35+the intercept = 84
the intercept = 49
so the equation is
0.10(x)+49 = y
or
1/10(x)+49 = y
1/10(300)+49=y
30+49=y
79=y
so the answer is 79 dollars

You might be interested in

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

1.

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

2.

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

3.

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

5 0

3 years ago

PlZZZ HELP<br><br> Which of the following is equal to

stealth61 [152]

Answer:

1st option

Step-by-step explanation:

4 $\frac{1}{3}$ ÷ 2 $\frac{3}{5}$ ( change mixed numbers into improper fractions )

= $\frac{13}{3}$ ÷ $\frac{13}{5}$

To perform the division

leave 1st fraction, change ÷ to × , turn 2nd fraction ' upside down'

= $\frac{13}{3}$ × $\frac{5}{13}$

7 0

2 years ago

Read 2 more answers

How to simplify the expression <br> 10h+6-5h+3

marin [14]

Answer:

You just have to combine terms

Step-by-step explanation:

10h + 6 - 5h +3 can be written as:

10h - 5h + 3 + 6 (now all you have to do is combine terms)

<u>5h + 9</u>

8 0

3 years ago

Solve the system by substitution.<br> -8x - y = 30<br> -2y = x

masya89 [10]

Answer:

Solution: (-4, 2), x= -4 and y =2

Step-by-step explanation:

-8x - y = 30

-2y = x

Substitute for x

-8*(-2y) - y = 30

16y - y = 30

15y = 30

y = 30/15 = 2

Then x = -2y = -2*(2) = -4

Solution: (-4, 2), x= -4 and y =2

4 0

3 years ago

Romashka-Z-Leto [24]

Discrimination 100 the real answer is that and it will not make since at dirt but it is have a good day

6 0

3 years ago