1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
2 years ago
5

Watch help video

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
7 0

The amount of gas that would be left after 2 hours is 10.50 gallons

The amount of gas that would be left after t hours is 13 - 1.25t gallons

<h3>Calculating amount</h3>

From the question, we are to determine how much gas would be left after driving for 2 hours

From the given information,

Aria currently has 13 gallons of gas in her car

and

Each hour that she drives, her car uses up 1.25 gallons of gas.

Thus,

After 2 hours, her car would have used 2 × 1.25 gallons of gas

2 × 1.25 = 2.50 gallons of gas

Therefore,

The amount of gas that would be left after 2 hours = 13 gallons - 2.50 gallons

The amount of gas that would be left after 2 hours = 10.50 gallons

For the amount of gas that would be left after t hours
Since the car uses 1.25 gallons of gas per hour

Then,

The amount of gas that would be left after t hours = 13 - 1.25 × t

The amount of gas that would be left after t hours = 13 - 1.25t gallons

Hence,

The amount of gas that would be left after 2 hours is 10.50 gallons

The amount of gas that would be left after t hours is 13 - 1.25t gallons

Learn more on Calculating Amount here: brainly.com/question/26296201

#SPJ1

You might be interested in
Negate the following statements.​
vesna_86 [32]
I will not go to school tomorrow
The earth is not the center of the solar system
Angle A and angle B are not congruent
The money you gave me was not enough
She is enjoying her time
I did bring the key

I hope this helps.
5 0
2 years ago
Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Jen bought a new brush for $10.50
Akimi4 [234]

Answer:

$15.35

Step-by-step explanation:

Brush = $10.50

Paint = $22.50

Sales tax = (10.50 + 22.50) x 0.05 = $1.65

Add up all the money Jen needs to pay = 10.50 + 22.50 + 1.65 = $34.65

Jen paid with a $50 bill so subtract 34.65 from 50 to get $15.35

8 0
3 years ago
Read 2 more answers
How is the graph of Y=√X) -5 translated from the graph of √X ?
Tom [10]
Shifted 5 units to the left.
8 0
3 years ago
Find the equation of the line that passes through the given points
uranmaximum [27]
First you need to figure out the slope:
y2-y1/x2-x1=(1+5)/(-5-7)=-1/2

y+5=-1/2(x-7)
y=-1/2x-3/2
6 0
3 years ago
Other questions:
  • There are 36 students in a class. If 4/9 of the
    8·1 answer
  • What is the solution for the following equation? 3(a-7)=14-4a​
    7·1 answer
  • A plant cell is 0.00001267 meter wide.How is this number written in scientific notation?
    15·1 answer
  • One number is 6 times another number. The difference between the number is 175. Find the smaller number
    13·1 answer
  • Draw a bar model that shows how the number of hours in March compares with the number of hours in February of this year.
    13·2 answers
  • In a class 30 of students, 22 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is th
    14·1 answer
  • Simplify 2m(8m) ....
    6·2 answers
  • Can someone please help me and write out the answer​
    8·1 answer
  • The volume of the rectangular pyramid is 120 m^3. The height, h,
    13·1 answer
  • Y varies directly as x and y=21 when x=6. determine the value of y when x=14
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!