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3 years ago

The y-intercept of the line whose equation is 7x - 4y = 8 is what

1 answer:

6 0

The y intercept is when x is 0. So, we have to plug in 0 for x. You can do this in many different ways as well.
7(0)-4y=8
-4y=8
Divide both sides by -4.
Y=-2
So, the Y intercept is -2 (0,-2).

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You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago

The perimeter of a rectangular store receipt is ten and five-sixths inches. If three of the sides total eight and one-half inche

serg [7]

Answer:

The measure of the fourth side is $\frac{7}{3}$ .

Step-by-step explanation:

Given as :

The Perimeter of rectangular store = ( 10 + $\frac{5}{6}$ ) inches

The measure of three sides of rectangle = ( 8 + $\frac{1}{2}$ ) inches

So, The measure of three sides = length + breadth + length

I,.e 2 L + B = ( 8 + $\frac{1}{2}$ ) inches .....1

∵ perimeter = ( 10 + $\frac{5}{6}$ ) inches

So , 2 L + 2 B = ( 10 + $\frac{5}{6}$ ) inches

Or, 2 L + B + B = ( 10 + $\frac{5}{6}$ ) inches

Or, ( 8 + $\frac{1}{2}$ ) + B = ( 10 + $\frac{5}{6}$ )

or, B = ( 10 + $\frac{5}{6}$ ) - ( 8 + $\frac{1}{2}$ )

Or, B = 10 - 8 + ( $\frac{5}{6}$ ) - $\frac{1}{2}$

or, B = 2 + $\frac{5-3}{6}$

or, B = 2 + $\frac{1}{3}$

∴ B = $\frac{6 + 1}{3}$ = $\frac{7}{3}$

Hence The measure of the fourth side is $\frac{7}{3}$ . Answer

7 0

3 years ago

I will give you a brainlists if u answere correct what is 59267+1726548=?

erik [133]

Answer:

The answer is 1,785,815

6 0

3 years ago

Read 2 more answers

I need help with this

kondor19780726 [428]

Answer:

124 degrees

Step-by-step explanation:

x=24 so if you plug in the value and solve it is 124 degrees

3 0

3 years ago

The school wants to order a new countertop for the teacher’s lounge. The shape of the countertop that they are replacing is show

aniked [119]

Answer:

$1,500

Step-by-step explanation:

I did the test and it showed me the answer.

5 0

2 years ago