Ryan is driving on a long road trip. 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 4 hours? How much gas would be left after t hours?

Answers

Answer 1

Answer: gas left after 4 hours :8

Gas left after t hours: 13-1.25t

Step-by-step explanation:

Answer 2

The gas left after 4 hours will be 8 gallons and expression for the gas left after t hours will be 13 - 1.25 t.

It is given that Ryan has 13 gallons of gas in his car and car uses 1.25 gallons of gas per hour.

We have to find out the amount of gas left after 4 hours and expression for the gas left after t hours.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

Ryan has 13 gallons of gas in his car.

The gas used per hour = 1.25 gallons

The gas used by car in 4 hours will be ;

= 1.25 × 4

= 5 gallons

So ,

The gas left after 4 hours will be equal to ;

= 13 - 5

= 8 gallons

Also ;

The gas left after t hours can be represented by equation ;

= 13 - 1.25 t

Thus , the gas left after 4 hours will be 8 gallons and expression for the gas left after t hours will be 13 - 1.25 t.

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Related Questions

SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!

Answers

Answer:

B. x=4

Step-by-step explanation:

The marked price of a table and six chairs is sh 10500. Kang’ori bought the set on hire purchase at sh 10815. (a) Express the extra amount of money he paid as a percentage of the market price. (b) If he paid monthly instalments of sh 1150 for 6 months, what deposit did he pay?​

Answers

9514 1404 393

Answer:

  (a) 3%

  (b) sh 3915

Step-by-step explanation:

a) The extra amount is ...

   10815 -10500 = 315

As a percentage of the marked price, this is ...

  315/10500 × 100% = 3%

__

b) The total paid is the sum of the down payment and the monthly installments:

  10815 = down + 1150×6

  10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides

  down = 3915 . . . . . . . . . evaluate

The deposit paid was sh 3915.

4. f(x) = 2x4 - 3x2 + 5. Find f(-1).
What is the answer

Answers

Answer:

[tex]{ \rm{f(x) = 2 {x}^{4} - 3 {x}^{2} + 5 }}[/tex]

• for f(-1), substitute x with -1

[tex]{ \rm{f( - 1) = 2 {( - 1)}^{4} - 3 {( - 1)}^{2} + 5 }} \\ \\ { \rm{f( - 1) = 4}}[/tex]

How can distributive property be used to solve 7 x 391

Answers

Answer:

7x ³⁹¹

Step-by-step explanation:

1: "x3" was replaced by "x^3".

Please help

This type of financing allows customers to pay for items in advance.
A. loans
B. secured loans
C. layaway
D. installment plan

Answers

Answer is C. Layaway

The answer is c layaway

Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?

Answers

We have that, how long it will take for Liu to catch Mariel is mathematically given as

t=3.076s

From the question we are told

Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?

Generally the equation for the Average speed is  mathematically given as

[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]

Therefore

How long it will take for Liu to catch Mariel is mathematically given as

[tex]t=\frac{20}{6.5}[/tex]

t=3.076s

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what is (x-1)-(3x+2)

Answers

The answer to (x-1)-(3x+2) is -2x-3

Answer:

-2x - 3

Step-by-step explanation:

1. distribute

( x - 1 ) - (3x + 2)

(x - 1) - 3x - 2

2. Eliminate redundant parentheses

(x - 1) - 3x - 2

x - 1 - 3x - 2

3. Subtract the numbers

x−1 − 3x − 2

x - 3 - 3x

4.

x − 3 − 3x

-2x - 3

Which of the following ordered pairs make this equation true?

Y=x-1

A) (3,2)

B) (1,4)

C) (4,5)

D) (0,1)

Answers

Answer: A

Step-by-step explanation:

Replace x by 3, and y by 2

Answer:

A. (3, 2)

Step-by-step explanation:

x = 3 , y = 2

• Y= x - 1

• 2 = 3-1

• 2 = 2

(WORTH 100 POINTS)On Monday, Latrena sent an email to 5 friends. On Tuesday, each of those friends sent an email to 5 different friends. On Wednesday, each person who received an email on Tuesday sent an email to 5 different friends. How many friends received an email on Wednesday? Enter your answer as a power by filling in the boxes.

Answers

Answer:

5 to the power of 3

Step-by-step explanation:

I took the K12 test :)

The number of friends who received an email on Wednesday can be obtained using the exponential relation between the initial number of mails and the number of days elapsed, which is 125 .

The initial number of friends who received an email = 5 friends.

Number of days elapsed from Monday to Wednesday = 3 days

The Number of people who received a mail on Wednesday can be expressed thus :

5³ = 5 × 5 × 5 = 125 friends.

Therefore, 125 friends received an email on Wednesday.

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In the playing card deck below what is the chance of pulling 2 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the decimal ​

Answers

Answer:

.049774

12/52 x 11/51 = .04977376

Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3

Answers

Answer:

y = -[tex]\frac{1}{3}[/tex] + 4

Step-by-step explanation:

first of all we know the slope of the equation which is 3x. then we know that we are supposed to write an equation that is perpendicular to y = 3x + 3. so since it is supposed to be perpendicular we have to make the current slope opposite.

so slope for our new equation will be -[tex]\frac{1}{3}[/tex]x.

now since we know our slope we use point-slope form and plug everything in.

point-slope form: y1-y=m(x1-x)

plug it in:

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

= y - 2 = -[tex]\frac{1}{3}[/tex]x +2

= y = -[tex]\frac{1}{3}[/tex] + 4

Simplify the expression to a + bi form:
(1 – 6i) + (12 + i)

Answers

[tex]\\ \sf\longmapsto (1-6i)+(12+i)[/tex]

[tex]\\ \sf\longmapsto 1-6i+12+i[/tex]

[tex]\\ \sf\longmapsto 1+12-6i+i[/tex]

[tex]\\ \sf\longmapsto 13-5i[/tex]

[tex]\sf{13+(-5i) }[/tex]

Step-by-step explanation:

we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form

[tex](1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)[/tex]

Sandra transforms a line segment such that the new image is longer than the original line segment. What type of transformation must the line segment have undergone?

A. dilation
B reflection
C rotation
E translation

Answers

The answer is probably dilation!
In math, dilation is the enlarging or shrinking of a mathematical element. Dilation changes the size and position of a figure (because of the size difference) but not the shape!

The type of transformation must the line segment have undergone if Sandra transforms a line segment such that the new image is longer than the original line segment, is dilation, so option A is correct.

What is dilation?

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

Given:

Sandra transforms a line segment such that the new image is longer than the original line segment,

The above transformation is an example of dilation, as in dilation the image can be transformed into a large image or a small image,

Thus, the given transformation is an example of dilation.

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Y varies directly with x. If y = 21, when x = 7, find y when x = 28.

Answers

This statement means
y

x
, which can also be written in the form
y
=
k
x
when it is directly proportionate and
y
=
k
x
when inversely proportionate, where
k
is a value we need to work out.
Since the equation is in the form
y
=
k
x
we know that...
21
=
K
×
7


k
=
21
7
=
3
.
So we can write this as the formula:
y
=
3
x
Therefore using the value of
x
=

1.66
y
=
3
x

y
=
3
×

1.66
=

4.98

Answer:

y = - 4.98

Step-by-step explanation: This statement means

y

x

, which can also be written in the form

y

=

k

x

when it is directly proportionate and

y

=

k

x

when inversely proportionate, where

k

is a value we need to work out. Since the equation is in the form

y

=

k

x

we know that...

21

=

K

×

7

k

=

21

7

=

3

.

So we can write this as the formula:

y

=

3

x

Therefore using the value of

x

=

1.66

y

=

3

x

y

=

3

×

1.66

=

4.98

Find the equation for the line shown

Answers

Answer:

y = 1/2x

Step-by-step explanation:

Slope: 1/2

y = 1/2x

Please help!!!!!!!!!!!

Answers

Answer:

1. x=3

2.x=-14

3.x=13

4.x=-15

5.y=4

Step-by-step explanation:

-2.15-5j=-1.8+2.1j-7.45
J=

Answers

Answer:

j = 1

Step-by-step explanation:

-2.15+1.8+7.45 = 2.1j + 5j

7.1 = 7.1j

7.1/7.1 = j

First calculate the Subsets for set, then calculate the number of proper subsets {10,19,5,0}

Answers

The subsets of {10, 19, 5, 0} are

{ } - the empty set, or 1 subset of size 0

{10}, {19}, {5}, {0} - 4 subsets of size 1

{10, 19}, {10, 5}, {10, 0}, {19, 5}, {19, 0}, {5, 0} - 6 subsets of size 2

{10, 19, 5}, {10, 19, 0}, {10, 5, 0}, {19, 5, 0} - 4 subsets of size 3

{10, 19, 5, 0} - 1 subset of size 4

A proper subset of a set is any subset of that set that is not equal to that set. The only subset that is not a proper subset is {10, 19, 5, 0}, since that's the set itself. So there are 15 proper subsets.

In general, a set of size n has a total of 2ⁿ subsets, and 2ⁿ - 1 proper subsets.

******Please help me please help me help please help*****

Answers

If there's no d than I guess c, k maybe the calories of a kookie and x is the amount, 2 isn't mentioned for the question we need to answer, and 72 isn't too, 5

5 maybe the answer

If x=0.8 and y=0.25, find y when x=0.125

Answers

Answer:

0.0390625

Step-by-step explanation:

by the equation then x=y*(16/5)

then when x=0.125 , y = 0.0390625

In a class of 30 children, 60% of the children are girls. How many of the girls are there in class? 18

Answers

You are correct!

20 Characters

Tom walks 116 kilometers due north, then 150 kilometers due east and finally 196 kilometers due
south. How far is Tom from his starting point?

Answers

Answer:

80 I believe

Step-by-step explanation:

Calculate the sum.

2/9+5/9

options:


79



718



1845



−39

Answers

Answer:

7/9

Step-by-step explanation:

2+5=7

Denominator stays the same 9

So it's 7/9

Answer:

You sure bout that this is the answer

Step-by-step explanation:

2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9

What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form​

Answers

Answer:

y =  2x - 1

Step-by-step explanation:

To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, we need to choose 2 points from the graph to solve for the slope:

Let (x1, y1) = (0, -1)

(x2, y2) = (3, 5)

Substitute these values into the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]

Therefore, the slope (m) = 2.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept.  Hence, the y-intercept (b) = -1.

Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:

y = 2x - 1

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

You can bike at a rate of 7 miles in 25 minutes. At this rate, how long will it take you to go 18 miles?​

Answers

Answer:

64.2857

Step-by-step explanation:

take the distance traveled divided by the distance which will give you the speed traveling multiplying the distance and the speed will give you the time ot takes

a) Find the center-radius form of the equation of the circle with center (0,0) and
radius 16.

Answers

Answer:

x^2+y^2=256

Step-by-step explanation:

The general formula for a circle is (x - h)^2 + (y - k)^2 = r^2; where (h , k).

Thus, (x - 0)^2 + (y - 0)^2 = (16)^2 is x^2 + y^2 = 256

Martha walks at a rate of 1.5 miles per hour. if he walks for 3/4 of an hour, how many miles will she walk?​

Answers

Answer:

Martha will walk 1.125 miles.

Step-by-step explanation:

3/4 = 0.75

1.5 * 0.75 = 1.125

Solve the inequality: x+10>2x/5. *

Answers

Hello BATAPAAKO!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Solve the inequality: x+10>2x/5.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]x + 10 \gt \frac { 2 x } { 5 } \\ [/tex]

Firstly, multiply both sides of the equation by 5.

[tex]5(x + 10) > 2x \\ = 5x + 50 > 2x[/tex]

Since 5 is greater than 0, the direction of the inequality will remain unchanged. Now, subtract 2x from both the sides.

[tex]5x + 50 > 20 \\ = 5x + 50 - 2x > 0[/tex]

Combine 5x & -2x to get 3x.

[tex]5x + 50 - 2x > 0 \\ = 5x - 2x + 50 > 0 \\ = 3x + 50 > 0[/tex]

Now, subtract 50 from both the sides. Remember :- anything subtracted by 0 will result in its negation. So 50 subtracted from 0 will give you -50.

[tex]3x + 50 > 0 \\ = 3x > - 50[/tex]

Divide both sides of the equation by 3. Again, since 3 is > 0, the direction of inequality will remain unchanged.

[tex]3x > - 50 \\ = \large\boxed{\boxed{ \bf \: x > - \frac{ 50}{3} }}[/tex]

__________________

Hope it'll help you!

ℓucαzz ッ

what is the psychology of a middle school student compared to a elementary compared to a high school compared to a college how does the brain change

Answers

Our brain's capacity increases day by day with respect to our growth of our bodyAs older the student be the sharper theirs brain becomes.A middle school student has a less equipped brain capable to handle their studies.But a hugh school student has more sharper brain than the middle school student.

Name:
Date:
Period:
DLD: Solving Percent Problems
1. A bakery makes different flavors of muffins. On Tuesday, the bakery made 30
chocolate muffins and 90 blueberry muffins.
What percentage of the sandwiches were chocolate? Draw a tape
diagram to show how many flavors have chocolate and how many don't.

Answers

According to the calculations made through cross multiplication, 25% of the muffins were chocolate.

Given that a bakery makes different flavors of muffins, and on Tuesday, the bakery made 30 chocolate muffins and 90 blueberry muffins, to determine what percentage of the sandwiches were chocolate, the following cross multiplication calculation must be performed:

90 + 30 = 100 30 = X 120 = 100 30 = X 30 x 100/120 = X 3000/120 = X 25 = X

Therefore, 25% of the muffins were chocolate.

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