A car uses 5 gallons of gasoline to travel 97.5 miles. At this rate, how many miles can the car travel using 13 gallons of gasoline?

Answers

Answer 1

Answer:

253.5 miles

Step-by-step explanation:

This problem can be solved by using the concept of "ratios" and "proportions."

Step 1: Check for the "known" and "unknown" variables.

The known variables are: 5 gallons, 97.5 miles and 13 gallons while the unknown variable is the "number of miles" the car can travel using 13 gallons.

Step 2: It's time to plug the values into the proportion.

            [tex]\frac{5 gallons}{97.5 miles}[/tex] = [tex]\frac{13 gallons}{x miles}[/tex]

Step 3: Solve the proportion.

            [tex]\frac{5}{97.5}[/tex] = [tex]\frac{13}{x}[/tex]  ⇒ 5x = 1,267.5 ⇒ x = 253.5 miles


Related Questions

the circle shows the radius of 12mm what is the circumference

Answers

Answer:

24π or about 75.4 mm

Step-by-step explanation:

The circumference of a circle is denoted by C = 2πr, where r is the radius.

Here, we see that r = 12, so plugging this in:

C = 2πr

C = 2π * 12 = 24π ≈ 75.4 mm

The answer is thus 24π or about 75.4 mm.

~ an aesthetics lover

Answer:

about 75.36

Step-by-step explanation:

The circumference formula is C=pi times the diameter and the diameter is 24 because it is twice the diameter so 24 times pi.

NASCAR driver Jimmy Johnson completed 200 laps as he crossed the finish line. From the start of the race to the finish line, is a description of his _________________.

A. displacement
B. speed
C. velocity
D. Distance

Answers

Answer:

B!!

Step-by-step explanation:

think its B im not sure

It would be d because the speed isnt said, displacement is for boats and velocity is basically speed and its how many laps, so it is distance

can yall help me plz

Answers

Answer:

lol girl i have this one too and im trying to do cuz no one cam to help me so im going to try and then i will see if i help you

Step-by-step explanation:

Answer:

just add thos and then put then to geter and you get 3x+1^2

Step-by-step explanation:

Insect is crawling in a straight line at a speed of 12cm/s how far will the insect travel in 35 seconds

Answers

Answer:

420cm

Step-by-step explanation:

speedxtime=distance

12x35=420

Answer:

Distance = 420cm/s

Step-by-step explanation:

We have been given that Insect is crawling in a straight line at a speed of 12cm/s.

We have the following outcomes from the question.

Speed of insect = 12cm/s

So, We need to find the distance which can be reached out by insect in next 35 Seconds.

We are familiar with distance formula which is given by , Distance = Speed × Time

Distance = Speed × Time

Or, Distance = 12cm/s × 35

Or, Distance = 420 cm/s

Therefore, Insect is crawling in a straight line at a speed of 12cm/s, 420cm/s will the insect travel in 35 seconds.

Find the inverse of f(x) = 3x + 7

Answers

Answer:

g(x)=(x-7)/3

Step-by-step explanation:

Answer:

The answer would be  [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse

Step-by-step explanation:

can someone help me plz:)

Answers

Answer:

when i did the math i got o.28

Step-by-step explanation:

4x10^-2 =.02x14 =.28

Please give brainliest

what is the siope of a line that passes through the points (2, 3) and (4.-12)?

Answers

Answer:

-7.5

Step-by-step explanation:

What is the price of one cookie?

Answers

Answer:

$3 for one cookie

Step-by-step explanation:

Divide  18  by  6

quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

ABCD-AEFG

Step-by-step explanation:

A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?

Answers

The tip amount is $18. The total bill would be $138

bbs.
Which statement best compares the two jobs?
O Job A has a lower salary than job B, but the benefits
make job A a more attractive pay package.
O Job B has a lower salary than job A, but the benefits
make job B a more attractive pay package.
O Job A has a higher salary than job B plus benefits that
make job A a more attractive pay package.
O Job B has a higher salary than job A plus benefits that
make job B a more attractive pay package.

Answers

Answer:

B - Job B has a lower salary than job A, but the benefits

make job B a more attractive pay package.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

I promise u your gonna have a bright future if u help me with this ! and I'll brainlist ​

Answers

a)
x 0 1 2 3 4
y 5 10 15. 20. 25

b) x 0 1 2 3. 4
y 1. 10. 37. 82. 145

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y =  

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y =  

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y =  

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y =  

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y =  

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

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

the point (-20, -13) is found in what quadrant?

Answers

Answer:

third

Step-by-step explanation:

Answer:

It would be located in Quadrant Number Three

Step-by-step explanation:

Quadrant 1: Positive Numbers on Y-Axis, Negative Numbers on X-Axis

Quadrant 2: Positive Numbers on both Y and X-axis

Quadrant 3: Negative Numbers on Both Y and X-axis

Quadrant 4: Negative Numbers on Y-Axis, Positive Numbers on X-Axis

(Hope this helped)

Triangle LMN is similar to triangly XYZ. What is the length of YX?

Answers

Answer:

The same length as XY

Step-by-step explanation:

If they are similar, they are basically the same ;)!

Hope this helped!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Help me I need it giving brainiest

Answers

Answer:

120

Step-by-step explanation:

there are three sides, they have to equal 360 degrees so 360/3 = 120, you got it right.

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

85% of 19 = 16.15

Step-by-step explanation:

19 times 0.85 will give you the answer! (16.15)

The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.
A'(t) =???​

Answers

MARK AS BRAINLIST

Step-by-step explanation:

L = 6t+5

H = √t

A = L*H

= (6t+5) *√t = 6t√t + 5√t

A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t

= 6t/2√t + 6√t + 5/2√t

Expression for the rate of change of the area with respect to time will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second

It's given in the question,

Length of a rectangle is given by the expression

      (6t + 5) cm

Width or height of the rectangle is given by the expression,

       [tex]\sqrt{t}[/tex] cm

Area of the rectangle is given by,

Area = Length × Height

A = (6t + 5)(√t)

A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]

Now find the derivative of area (A) with respect to time (t).

[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]

A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

     Therefore, expression for the rate of change of the area will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

Learn more,

https://brainly.com/question/12596049?

Pls Help me. I will mark brainlist.

Answers

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)

Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool .What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool? *

I'll give brainliest if you just tell me multiply, divide, subtract, or add.

Answers

Answer: subtract

Step-by-step explanation:

Answer:

I think subtract

Step-by-step explanation:

subtract

Moretti's Ristorante & Pizzeria has two different soda sizes, Regular and Large. The Regular size soda is 22 ounces and the Large soda is 64 ounces. By what percent does the amount of soda increase between the different soda sizes? Round to the nearest percent

Answers

Answer:

280

Step-by-step explanation:

Given that:

The two different sizes of soda are:

Regular = 22 ounce

Large = 62 ounce.

The objective is to determine by what percent does the amount of the soda increase between the different soda size.

i.e. The ratio of the larger size in respect to the regular size:

So,

62/22 = 2.82

Thus in percent, the amount of the soda increase between the different soda size = 2.82 × 100%

= 282 percent

To the nearest percent, it is = 280

Of the American Indian cultures that lived in Georgia, the Woodland Indians were the FIRST to A.Adopt a primarily nomadic lifestyle. B.Acquire much of the food they needed through farming. C.Construct homes using animal skins. D.Encounter and develop trade relationships with Europeans.

Answers

Answer:

Acquire much of the food they needed through farming.

Step-by-step explanation:

The term woodland Indians was one that was created around the year 1932, to describe a certain culture that was quite different from the nomadic Archaic Indians that moved around the North American continental areas.

The woodland cultures were known for the cultivation of beans, squash and corn (maize). They were also involved with the creation of unique pottery styles and the building of burial mounds.  

In rhombus JKLM, if m

Answers

i’m generally confused on exactly what your asking for

Solve for x and show the steps

Answers

Answer:

Step-by-step explanation:

All you need do is divide by m and you have the answer.

x*m/m = np/m

x = np/m

four more than the product of 22 and a number

Answers

Answer:

22(x)+4

Step-by-step explanation:

This shows that whatever 22*x is it will be 4 greater

In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substances. A radioactive substance is a substance that gives off radiation as it decays. Scientists describe the rate at which a radioactive substance decays as its half-life. The half-life of a substance is the amount of time it takes for one-half of the substance to decay. Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years?

Answers

Answer:

Step-by-step explanation:

Half life is the time taken by a radioactive substance to reduce of half of its original size

If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years

if we are given N0 = 1000grams

The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g

Hence 500 grams of radium will be left after 600years

The folding chair has different settings that change the angles formed by its parts. Suppose m∠2 is 31 and m∠3 is 65. Find m∠1. The diagram is not to scale.

Answers

Answer:

m∠2=31

m∠3=65

m∠1=?

Notice that measure of angle 2,3 and the angle that's next to angle 1 will form a triangle. Let's name the angle next to 1 to be x.

31+65+x = 180

96+x = 180

x = 180-96

x = 84

Now, you can easily find the m∠1.

84+m∠1 = 180        (REASON: Linear pair)

m∠1 = 180-84

m∠1 = 96

Can someone please help this is math? ill give BRAINLIEST

Answers

Answer:

27

Step-by-step explanation:

 To solve this problem, let us follow it step by step;

 Let Peter's number  = P;

     So;

    ⇒   P - 17

    ⇒  -2 (P - 17 )

    ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

        -2 (P - 17 ) = -20

        -2P + 34  = -20

        -2P = -20 -34

          -2P  = -54

              P = 27

Answer:

Answer:

27

Step-by-step explanation:

To solve this problem, let us follow it step by step;

Let Peter's number  = P;

    So;

   ⇒   P - 17

   ⇒  -2 (P - 17 )

   ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

       -2 (P - 17 ) = -20

       -2P + 34  = -20

       -2P = -20 -34

         -2P  = -54

             P = 27

Step-by-step explanation:

-16 - (-30) = ?
please help me, i cant figure it out​

Answers

Answer: 14

Step-by-step explanation:

1. Add the two negative sign together to make a plus:

-16 + 30

2. Do the math

-16 + 30 = 14

Answer:

-14

Step-by-step explanation:

All you need to do is subtract the 2 numbers without the negitv  then when your done add the negitve

LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!

Answers

Answer:

Step-by-step explanation:

Ist method - Area of the triangle + Area of the  trapezium

Area of triangle = 1/2 × b × h

here, b = 8 cm but h is not given

so we will find h by pythagoras theorem

AC^2 = AB^2 + BC^2

10^2 = 8^2 + BC^2

100 = 64 + BC^2

BC^2 = 36

BC = √36

BC = 6

∴ h = 6cm

area of triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 24 cm^2

Area of trapezium = 1/2 ( a + b ) h

Here a = 13cm

         b = 25 - 8 = 17 cm

         h = 6 cm

So area = 1/2 ( a + b ) h

= 1/2 ( 13 + 17 ) 6

= 90 cm^2

So total area =  Area of the triangle + Area of the  trapezium

= 24 cm^2 + 90 cm^2 = 114 cm^2

2nd method - Area of the entire figure

Since the figure is a trapezium,

Area of trapezium = 1/2 ( a + b ) h

here, a = 13cm

        b = 25 cm

        h = 6 cm

Area of trapezium = 1/2 ( a + b ) h

= 1/2 ( 13 + 25 ) 6

= 114 cm^2

Hope this helps

plz mark as brainliest!!!!!!!!!!

answer:

not a very clear diagram sorry luv but i just cant really see the question  <3

step-by-step explanation:

Other Questions
Cari created a list of ways to reduce her spending. Which activity should she omit from her list? Choose the correct answer below. use less expensive places for services such as haircuts wear items of clothing for an extra season buy store brands instead of name brands for food and other items rely on friends to treat me when I am out of money What are the reactants of photosynthesis? carbon dioxide and hydrogen hydrogen, oxygen, and water light energy, water, and carbon dioxide oxygen and glucose How many times larger is 22700000 than 925000 when the fed acts as a lender of last resort like it did in the financial crisis of 2007, it is performing its role of To protect consumers from unfair credit practices, credit laws were established -true-false Where did the Klondike gold rush take place?What made the environment challenging?How much experience did most gold rushers have in prospecting for gold?How many people found gold? explanation of atomic radius what does this quote mean Fashion should be a form of escapism, and not a form of imprisonment If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta Its not alot so please help :) According to Israelite traditions, what is the origin of the Israelites? I WILL GIVE BRAINLIEST TO WHO ANSWERS FIRST AND CORRECTLY.All slides in a presentation must use the same transition.TrueFalse find the lengths of the missing side . Simplify all radicals !!!help mee!!!!!! What is the moral of "The Wise Fool?It is unwise to cut a babys hair. People should mind their own business.Wisdom can be found in unexpected places.Once something is finished, it cannot be undone. please help me i would rlly thank u for it What did Newt Gingrich's 1994 Contract with America promise? What is the definition of humor? No google answers Question 6How do the measures of the anges of polygon ABCD compare with those of the translated images? Based on your observation, what can youcondude about preservation of angle measurements during a translation? First one to answer this question with the right answer gets brainliest.Woody Guthrie could never cure himself of wandering off. One minute he'd be there, the next he'd be gone, vanishing without a word to anyone, abandoning those he loved best.This Land Is Your Land,Elizabeth PartridgeWhich aspect of a biography is present in this passage?important life eventsa quotation from the subjectbirth and death datescharacteristics of the subject How could the unpredictable flooding of the rivers in Mesopotamia effect their government and religion?