A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).

Answers

Answer 1

Answer:

2minutes

Step-by-step explanation:

Since the expression for the amount of gas in the tank is given as

g = 5t + 4

we already know that g=14 which is the capacity of the tank

so let us put g=14 we have

14=5t+4

solving for t, which is the time taken to fill up the tank that already has 4 gal already we have

14=5t+4

14-4=5t

10=5t

t=10/5

t=2min

Therefore the time taken to fill the tank is 2minutes


Related Questions

Which square root is closer to 9?

Answers

The square root of 9 is 3. 3x3= 9. Square root is when you can take a number , multiply it by itself and get the given number (9 , in this case).

What is the slope of a line that is parallel to the graph of 2x+3y=5?​

Answers

Answer:

2/3

Step-by-step explanation:

I checked on desmos.

2(x + 3) = 18

please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.

Answers

Answer:

6

Step-by-step explanation:

2(x+3)=18

2x+6=18

2x=12

x=6

Answer:

x = 6

Step-by-step explanation:

2(x + 3) = 18

 2x + 6 = 18

       2x = 12

         x = 6

In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.​

Answers

Answer:

Jamal has the the better record

Answer:

This is the sample response from Edge

Step-by-step explanation:

Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.

A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please​

Answers

Answer:

then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50

Step-by-step explanation:

Help me solve this problem please

Answers

Answer:

subtracted 2x from both sides

Step-by-step explanation:

4x = 2x + 402    subtract 2x from both sides

4x - 2x = 2x - 2x + 402

2x = 402

half of a number is subtracted from 19, the result is 13 what is the number

Answers

Answer:

12

Step-by-step explanation:

12 / 2 = 6

19 - 6 = 13

Answer:

12

Step-by-step explanation:

19-13 is 6

Half of 12 is 6

If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.​



please answer it and I will mark your answer as the brainliest..please..!!!

Answers

Answer:

[tex]y=2x-6[/tex]

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]

The distance d2 from (x,y) to (6,1) is:

[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Since d1=d2:

[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Squaring both sides:

[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]

Operating:

[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]

Simplifying all the squares:

[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]

Moving the variables to the left side and the numbers to the right side:

[tex]-4x+12x-6y+2y=36+1-4-9[/tex]

Simplifying:

[tex]8x-4y=24[/tex]

Dividing by 4:

[tex]2x-y=6[/tex]

Or, equivalently:

[tex]\boxed{y=2x-6}[/tex]

Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)

Answers

(3,5)

Step-by-step explanation:

Answer:

5,0

Step-by-step explanation:

Use the website Desmos to help u in this question

2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0).​

Answers

Answer:

y= - 1/4x

Step-by-step explanation:

The equation of the line passing through that point with the required slope is y=2x+3.

What is slope?

The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line.  The slope of a straight line can also be represented by the formula  tan θ = Δy/Δx  So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.

Given:

The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".

The slope of a line passing through points (x1,y1)and(x2,y2) is given by

m=(y2−y1)/(x2−x1)

The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.

slope  m  of a line, and the coordinates of a known point  (x1,y1)  it is simple to plug them into the point-slope formula for a line to determine the equation for that line.

y=mx +b

y1=mx1+b

solve for  b

Going through those steps:

(x1,y1)=(-6, 8)

(x2,y2)=(10,0)

m=(0-8)(10-(-6))=-0.5

[tex]m^p[/tex]=−1/-0.5= 2

our known point is (−4,−5)

−5=2(−4)+b

-5 = -8+b

b = 3

Therefore, the equation of the line passing through that point with the required slope is y=2x+3.

To learn more about slope, refer;

https://brainly.com/question/3605446

#SPJ2

What is the scale factor from triangle ABC to triangle PQR?

Answers

The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.

To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.

Side AB corresponds to side PQ, which has a length of 6 units.

Side BC corresponds to side QR, which has a length of 9 units.

Side AC corresponds to side PR, which has a length of 12 units.

So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:

AB/PQ = BC/QR = AC/PR

Using the values we found above, we can write:

|AB/PQ| = 2/3

|BC/QR| = 3/4

|AC/PR| = 4/5

Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.

To learn more about scale factor please click on below link.

https://brainly.com/question/30215044

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Can somebody please help?

Answers

Answer: C

Step-by-step explanation: I could tell just by looking at the first two, they’re negative

Please help! I'm in a hurry

Answers

Answer:

the answer is 62

Step-by-step explanation:

you take  180 and subtract 118

Answer:

The answer should be 62, but i'm not positive so correct me if i'm wrong!

Explanation:

What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)

On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?

Answers

Distance = rate * time

Let r = rate

 

Distance is the same for both runs,  so:

.5r = D =  3/4(r - 2)

 

Distribute (and convert .5):

2/4r = 3/4r - 3/2

 

Subtract 3/4 r from both sides:

-1/4r = -3/2

 

Multiply both sides by -4 to get a solitary r:

r = -3 * -4 / 2

r = 3 * 2

r = 6 miles per hour

 

.5 hours * 6 mi/hr = 3 miles

 

check:

6 - 2 = 4

3/4 hours * 4 mi/hr = 3 miles

hey lol i need help with this plz

Answers

Answer:

The first line shows the solutions to n > 0.

The open circle and shaded part after the 0 indicate that n > 0 is represented by the first line.

Answer:

It's the first one aka A.

Step-by-step explanation:

It's the first one bc it shows greater than. The second one shows n is = to or greater, 3rd one shows less than, and last one shows = to or lesser. So in other words, the correct answer would be A.

Use the model to solve for x.

A) x = 2

B) x = 4

C) x = 8

D) x = 12

Answers

9514 1404 393

Answer:

  B)  x = 4

Step-by-step explanation:

You observe that the smaller number of (+1) tokens is 2 of them, found on the right side. Remove 2 (+1) tokens from each side to get ...

  x + 4 = 2x

The smaller number of (x) tokens is 1, found on the left side. Remove 1 (x) token from each side to get ...

  4 = x . . . . . matches choice B

_____

Comment on this approach

In general, this is a decent approach to use for solving any linear equation. You may find that x and number tokens end up on the same side of the equal sign (with 0 on the other side). Then you need to add some number of (-1) tokens to both sides to cancel the ones on the side with x.

At the end, you may need to split the problem evenly into equal parts according to the number of times x appears. (If this had been x+6 = 3x+2, then you would end with 4=2x. Splitting that into two equal parts, each would be 2=x.)

8³ times 8⁷ i need help asap

Answers

Answer: 8¹⁰

Explanation: Since these two powers have the same base of 8, you can

multiply them together by simply adding their exponents to get 8¹⁰.

A common mistake in this problem would be to

multiply the bases together and give an answer of 64¹⁰.

It's important to understand however that the 8's can't be

multiplied together because they are not coefficients, they are bases.

When applying your exponent rules, your base will never change.

If you answer I will give brainliest.
How many km did a bird travel if it flew at a speed of 55 km/hr for 35 hours? *

A 1.6 km
B 0.6 km
C 18.3 km
D 1,925 km

Answers

D. 1,925 km

Multiply 55 with 35 --> 1,925 km/35hrs

Answer:

D

Step-by-step explanation:

55*35=1925

Add -7d - 3 and 10d - 6. Show all steps.

Answers

Answer:

[tex]3d - 9[/tex]

Step-by-step explanation:

[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]

What is the slope of line that passes through the points -2,4 and 1,-1​

Answers

Answer:

-5/3

Step-by-step explanation:

-2 to 1 =3   x=3

4 to -1=5   y=-5

y/x      slope=-5/3 or -1  2/3

Will make brainliest!

Please explain what I did wrong , and please give me the correct answer thank you :)

Answers

Answer:

y = -x + 5 or  y = -1x + 5

you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk

Step-by-step explanation:

5 (6 - x) = 5 (1 + y)

30 - 5x = 5 + 5y

-5             - 5    

25 - 5x = 5y

5y = -5x + 25

5            5

y = -x + 5

show that any positive odd integers is of the form 4q+1 or 4q+3, where q is some integers.​

Answers

Answer:

Step-by-step explanation:

Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is

10 1/2 inches long, how many pieces can he make?

Answers

Answer:

5.25

Step-by-step explanation:

Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13

Answers

The answer for is a) x=12

On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?

Answers

Answer:

5.4 feet

Step-by-step explanation:

Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.

At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was  8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.

Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was  8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.

From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].

[tex]d= 10- (d_1+d_2)[/tex]

[tex]=10-(2.2+2.4)[/tex]

=5.4 feet

Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:

[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]

[tex]x_{1} = 10.4\,ft[/tex]

Now we determine the absolute elevation of the deck at 7 P.M.:

[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]

[tex]x_{2} = 7.6\,ft[/tex]

Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:

[tex]x' = 7.6\,ft - 2.2\,ft[/tex]

[tex]x' = 5.4\,ft[/tex]

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

To learn more on distances, we kindly invite to check this verified question: https://brainly.com/question/989117

alex toby and samual are playing a game together

Answers

Answer:

sorry I don't mean to be rude but where is the question what you've written is a statement

Add a picture or the equations

i needa lil help on this question

Answers

Answer:

-2, -4

Step-by-step explanation:

h(x) = x2 + 1 k(x) = x – 2

(h + k)(2) =
2
⇒ 5
(h – k)(3) =
Evaluate

Answers

Answer:

5, 9, and 17

Step-by-step explanation:

Did it on Edg. 2021 and got it right.

A local mechanic charges customers a flat fee of $60 before any work is done in the rate of 85 per hour for labor which equation represents the relationship between the total charge for labor L in dollars and the number of hours worked h?

Answers

Answer:

im not sure but here u go 85x+60

i’ll mark brainlest !! (60 points )

Answers

Answer:

B and D are the answer's.

Step-by-step explanation:

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