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gizmo_the_mogwai [7]

2 years ago

14

He currently has 13 gallons of gas in his car. Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would

be in the tank after driving for 2 hours? How much gas would be left after tt hours?

2 answers:

Dima020 [189]2 years ago

7 0

Answer:

i am not a 100% sure but i got 10.5

Step-by-step explanation:

Free_Kalibri [48]2 years ago

6 0

He has 10.5 gallons

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

<u>Equation 1</u>

<u />

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

<u>Substitute</u> the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

<u>Equation 2</u>

<u />

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

<u>Substitute</u> the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

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5 0

1 year ago

Read 2 more answers

Please answer !!!!!!!!!!!!!!!!!!!!!!

rewona [7]

Answer:

umm iI not sure but i think it is

Step-by-step explanation:

write out expression

8 0

2 years ago

Gabrielle sees a 30% discount on potted plants at the nursery. She chooses 3 potted plants whose regular prices are $3.59, $4.25

malfutka [58]

Using proportions, it is found that she will pay $8.28 in total after the discount.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Before tax, the total price is given by:

P = 3.59 + 4.25 + 3.99 = $11.83.

She gets a 30% discount, hence the proportion she pays is 70% of this amount, hence:

P = 0.7 x 11.83 = $8.28.

She will pay $8.28 in total after the discount.

More can be learned about proportions at brainly.com/question/24372153

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5 0

1 year ago

A rectangle has a length that is 4 more than 3 times the width. The area of the rectangle is 175. The width is 7. What is the le

g100num [7]

Answer:

length = 25

Step-by-step explanation:

7(x)=175

x=25

6 0

3 years ago

Reuben is making a replica of the us flag for his school project. he uses a scale of 0.5 centimeter to 1 inch to draw the flag.

Alex777 [14]

The question above makes use of the concept of ratio and proportion in a form of scaling. If we let x and y be the true length and width, the equations that best describe them are,
0.5 cm / 1 inch = 2.5 cm / x in ; x = 5 in
0.5 cm / 1 inch = 4.75 cm / y in ; y = 9.5 in
Therefore, the true length and width of Rueben's flag is 5 in and 9.5 in, respectively.

6 0

3 years ago

Read 2 more answers