Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Ayden's gas tank after tt hours of driving.

Answers

Answer 1

Answer:

G=-2t=12

Step-by-step explanation:

uh well i did delta thats was the answer they gave me...

Answer 2

Total capacity: 12 gallons

Equation: G = 12 - R*t

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let R be rate of gas consumption by car = 2 gallons/hr

Let G be the gallons in the car left

let g be the gallons used by the car while driving

Driven time, t = 4 hrs

Remaining gas =4 gallons

according to the question,

consumption rate, R = g/t

After driving for 4 hours

2 = g/4

g = 2*4 = 8 gallons

remaining gas = 4 gallons

therefore, total capacity of the car = 8 + 4 = 12 gallons

equation in terms of gas left,

G = 12 - R*t

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Related Questions

Please someone help

Answers

Answer:

Nerys pays 3.1/3.84,5=84,5£per year

Eleri pays 3.84,5=253,5£per year

253,5-84,5=169£ more pay Eleri

Given m//n, find the value of x

Answers

Answer:

117 is the value of you Question

Step-by-step explanation:

Will mark brainiest for the first one with the correct answer.

Answers

the probably of it being coconut or kiwi is 14 over 15

Answer:

for pulling out a killer kiwi it would be 5/15 and 9/15 for crazy coconut

Find the reciprocal.

12

Answers

Answer:

1/12

Step-by-step explanation:

finding recirocal is basically turning your number into 1. so 12 times 1/12 equals 1.

The reciprocal of 12 is 1/12. 

Hope this helps! :)

How can you use linear relationships to compare real-world
situations?

Answers

Answer:

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.

Step-by-step explanation:

Need help, please!!!

Read question carefully...

Answers

All of them because x can be anything

simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does he have left?

Answers

Answer:

7/10

Step-by-step explanation:

1/5=6

10%=3

30-6-3

21

21/30=7/10

-0.4a + 3 = 7

a = ? ​

Answers

-0.4a = 7 - 3

-0.4a = 4

a = -10

GEOMETRY/EASY PROBABILITY, urgent!

Answers

Answer:

2/7, 3/7

Step-by-step explanation:

Total outcomes=7

No. 6 outcomes=2

P(E)= Favourable outcomes/total outcomes

    =2/7

Total even no.= 3

∴ P(E)= 3/7

Mark me as brainliest

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

Answers

Step-by-step explanation:

I just eyeballed it.

Answer:

The Axis of Symmetry for [tex]h(x)[/tex] is the vertical line, [tex]x = 3[/tex].

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? Record your answer as number only.

Answers

Answer:volts =60v

Step-by-step explanation:

STEP 1

 The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as

V∝ C

introducing the proportion of constant , we have

V=KC

Step 2

When current =12 amps, and volts = 480, we have

V=kC

480=K  X  12

Constant of proportionality ,K= V/C=480/12= 40

Therefore, when current = 1.5 amp, volts=?

V= KC

V= 40  X 1.5

V= 60 volts

Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.

Answers

Answer:

10

Step-by-step explanation:

For movie mania:

Sign-up fee = $ 20

Rent for 1 DVD = $ 4.00

For Hurricane video:

Sign-up fee = 0

Rent of 1 DVD = $ 6.

Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.

For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=20+4n

For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=0+6n=6n

Now, for both stores to charge the same, both the charges must be equal, we have

6n=20+4n

[tex]\Rightarrow 6n-4n=20[/tex]

[tex]\Righatarroe 2n=20[/tex]

[tex]\Rightarrow n =20/2=10[/tex]

Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.

A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it? (Please explain and show work)

Answers

Answer:   (47/48)*pi*r^2*h

=================================================

Work Shown:

A = volume of the cylinder

A = pi*(radius)^2*(height)

A = pi*r^2*h

-----------

The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4

B = volume of the cone

B = (1/3)*(volume of cylinder with radius r/4 and height h)

B = (1/3)pi*(r/4)^2*h

B = (1/3)*pi*(r^2)/(4^2)*h

B = (1/3)*pi*(r^2)/16*h

B = (1/3)*(1/16)*pi*r^2*h

B = (1/48)pi*r^2*h

B = (1/48)*A

B = (1/48)*(volume of cylinder)

-----------

C = volume of the empty space/air inside cylinder, but outside cone

C = A-B

C = A - (1/48)*A

C = (48/48)A - (1/48)A

C = (48A)/48 - (A/48)

C = (48A-A)/48

C = 47A/48

C = (47/48)*A

C = (47/48)*pi*r^2*h

Help pleaseeeee it’s on algebraic proofs

Answers

Answer:

Given

Addition

simplify

answer

Step-by-step explanation:

Answer:

1. Given

2.Addition

3. simplify

4. answer

Step-by-step explanation:

What number would go into the box?

Answers

8. When dealing with exponents like x^2, multiplication is like addition and division is like subtraction (x^2*x^3=x^5, x^3/x^2=x). So, for this one, we can get rid of the X’s and rewrite as this: p+6-2=12. If we solve this, we see that the answer is 8.

Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?

Answers

Answer:

15

Step-by-step explanation:

1/10 of 50 is 5, so remove that.

2/3 of 45 is 30, so remove that too.

therefore, 15 kids are in school

hope this helps!! <3

Which of the following statements contain a variable?


A. The time it takes to wash the dishes plus 30 minutes.

B. The age of my friend.

C. The number of kittens in a litter.

D. There are 24 hours in a day. ​

Answers

Answer:The time it takes to wash the dishes plus 30 minutes

Multiply [tex]\frac{-9i}{-3 - 9i}[/tex] where i is the √-1
(-9i) / (-3 - 9i)

Answers

You can simplify to 9i/3+9i

Multiply by 3 - 9i / 3 - 9i

You get 27i + 81 / 90

Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 31 questions he thought he got right. It turns out that Henry got 6 questions wrong that he thought he got correct and he only got 12 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?

Answers

Answer:

74%

Step-by-step explanation:

Given that :

Total number of questions = 50

Total correct prediction :

Correct and right prediction = ( 31 - 6) = 25

Correct wrong prediction = 12

Total correct predictions = (25 + 12) = 37

Percentage prediction accuracy :

(Total correct prediction / total questions) * 100%

(37/ 50) * 100%

0.74 * 100%

= 74%

Para la venta de las misiones, la señora Susy preparó chilibeans , para lo cual compró 4 1/2 kg de frijol. Como no tenía una olla suficientemente grande, tuvo que prepararla en tres recipientes: dos de ellos eran del mismo tamaño, pero el tercero tenía la mitad de capacidad que los otros. ¿Cuánto frijol puso en cada recipiente si lo dividió de manera proporcional al tamaño de los recipientes?

Answers

Answer:

En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.

Step-by-step explanation:

dividio los frijoles en 3 recipientes

volumen total de los 4 recipientes = 2x + 2x + x = 5x

esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)

4.5 kilos de frijoles / 5 x

x = 0.9 kilos de frijoles

recipiente grande = 2 · 0.9 = 1.8 kilos

For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Answers

Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Step-by-step explanation:

Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)

Step-by-step explanation:

The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?

Answers

The answer is 2826 I hope this helps you

yo, i need some help :/
What is the domain of the function represented by the table?
A). all real numbers
B). x greater-than-or-equal-to 0
C). all integers greater than or equal to zero
D). {5, 10, 15, 20, 25}

Answers

Where the picture? Don’t answer this but I guessing is C


What is the y-intercept of the line that passes through the points (-2, 4)
and (4, -20). Make sure to choose (X1. Yı) and (X2, Y2) carefully.

Answers

Answer:

y=-4x-4

Step-by-step explanation:

-2,4

4,-20

-20-4 is -24

4--2

6

-24/6 is -4 (slope)

4=-2*-4+b

4=8+b

-4=b (y intercept)

What is the opposite of negative 21 or -21 ?

Answers

the opposite of -21 is 21 and the opposite of 21 is -21

Answer:

21

Step-by-step explanation:

because on a table, -21 and 21 are lined up together.

Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50

Answers

The answer to this, is A

The solution is Option C.

The incorrect rounding of the number 53.864 is 53.87

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the number be represented as A

Now , the value of A is

A = 53.864

Now , on rounding the number A to the nearest , we get

Step 1 :

If we round the number to the nearest integer, the number is 54

Step 2 :

If we round the number to the nearest tenth, the number is 53.9

Step 3 :

If we round the number to the nearest hundredth, the number is 53.86

So , the number 53.87 is not true

Step 4 :

If we round to the nearest tens, the number is 50

Hence , the only incorrect rounding is 53.87

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PLEASE HELP ME ASAP!!!!!!!!

Answers

Answer:

-3(-1)=

Step-by-step explanation:

What is the dollar value of 10 pennies and 9 nickels? What is the dollar value
of p pennies and n nickels?

Answers

What on that be $1

Step-by-step explanation:

because when you add 10 pennies and 9 nickel it will give you one dollars hope it helps ♥️♥️♥️

Answer: dollar value is 55 cents

Step-by-step explanation: Common Sense

Lila thought of a whole number and added the next whole number to it. What was the original number she thought of if the sum was 22?

Answers

Answer:

10

Step-by-step explanation:

Let the original whole number be x and the next whole number be x+2

If Lila added both number and the sum was 22, then:

x + (x+2) = 22

x+x+2 = 22

2x +2 = 22

2x = 22-2

2x = 20

divide both sides by 2

2x/2 = 20/2

x = 10

Hence the original number she thought of was 10

pls help answer question in picture

Answers

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

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