Mike's car holds 14 2/5 g of gas, averages 20mpg. About how far can Mike's travel if his tank is 1/4 full?

Answers

Answer 1

Solution :

It is given that :

The car of Mike's can hold = [tex]$14 \frac{2}{5}$[/tex] g of gas.

                                            [tex]$=\frac{72}{5}$[/tex] g of gas

∴ [tex]$=\frac{1}{4} $[/tex] th of [tex]$\frac{72}{5}$[/tex] g of gas is  [tex]$=\frac{1}{4} \times \frac{72}{5}$[/tex]

                                          [tex]$=\frac{18}{5}$[/tex] g of gas

                                         

The average distance that the car can travel when the tank is full is = 20 mpg

∴ In  [tex]$\frac{72}{5}$[/tex] g of gas, the car travels = 20 mpg

   In 1 g of gas, the car travels = [tex]$20 \times \frac{5}{72} $[/tex] mpg

   So in  [tex]$\frac{18}{5}$[/tex] g of gas, the car travels = [tex]$20 \times \frac{5}{72} \times \frac{18}{5} $[/tex] mpg

                                                          = 5 mpg


Related Questions

Deku's watermelon weighs 128 ounces. Bakugo's
weighs 112 ounces. Which watermelon is heavier?
By how many ounces? -Side note- HELP MEH ;-; worth 16 points

Answers

Answer: Deku's watermelon weighs more by 16 ounces.

Step-by-step explanation:

hope this helps lol :)

Ya Dekus is heavier by 16 ounces

What is a numerical expression? Give an example.

Answers

Answer:

Step-by-step explanation:

The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.

para que sirve el álgebra​

Answers

Answer:

si mamacita

Step-by-step explanation:

El álgebra es un tipo de matemática. Se trata de ecuaciones y resolución de incógnitas. El álgebra se usa para calcular números basados ​​en una ecuación. ¡Espero que esto ayude!

if an angle is three times of its supplement, find the angle​

Answers

Answer:

135° angle

Let the angle be x it's supplement = (180-x)

x = 3 (180-x)

⇒x=540−3x

⇒4x=540⇒x=135°

Step-by-step explanation:

Hope it is helpful....

Proof that 1^√2 = 1 is true

Answers

Answer:

1^sqrt(2) = 1 is always true

Step-by-step explanation:

Step-by-step explanation:

it is always 1 because the teacher said.....lol

-2(6) + 3(5 – 4​· ​2)

Answers

Answer:

-21

Step-by-step explanation:

-21. First multiply -2 and 6 to get -12. Then use order of operations to simplify the second parenthesis. 4•2 is 8. 5-8 is -3. 3(-3) = -9. Combine the two to get -21. Hope that helps!

Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her regular rate is $6.86. How much would Sung Loo make?

Answers

Answer:

$432.18

Step-by-step explanation:

Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour

Double time = 2*6.86 = $13.72 per hour

Rest of the time => At regular rate

Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)

                       = 10(10.29) + 4(13.72) + (40)(6.86)

                       = $ 432.18

Answer:

so 10 hours was 1,5 time and 4 hours was 2 (double) time Her regular rate is $6,86/h so 10 h with 1,5 time make 10*1,5 = ? and 4 h with 2 time make 4*2 = ? total how much you get multiplie by 6,86 and will get in this way easy sure the correct answer.

Write each ratio in three different ways based on the table. Party Mix Makes 8 Cups 3 cups pretzels 3 cups bagel chips 1 cup cheese crackers 1 cup peanuts

Answers

I need the table
To answer

I need the answer, ASAP.

Answers

Answer:

See below.

Step-by-step explanation:

It is similar because the order of operations is the same for fractions and for whole numbers.

It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.

The formula A-lw is used to calculate the area A of a rectangular surface using the length and the width
(w) of the surface. Which formula could be used to find w in terms of A and I?

Answers

The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the perimeter of the circle, since the label wraps once around the can. So the area of the rectangle is (2 pi r)* h.

Drag and drop the correct value next to its equivalent expression. Numbers may be used once or not at all.

Answers

Answer:

[tex]5(32) = 5(30 + 2)[/tex]

Step-by-step explanation:

Given (omitted from the question)

Expression: 5(32) = ( + )

Numbers: 12, 30, 500, 10, 2, 5

Required

Write an equivalent expression

Express 32 as 30 + 2.

So, we have:

[tex]5(32) = 5(30 + 2)[/tex]

Answer:

I think you meant to add a picture?-

Step-by-step explanation:

I just noticed how late I am lol

write a quadratic equation with the roots 1/2 and -5

Answers

x = 1/2    or    x = -5

2x - 1 = 0     or     x + 5 = 0

(2x-1)(x+5) = 0

2x² + 10x - x - 5 = 0

2x² + 9x - 5 = 0

Hope it helps!

Answer:

2[tex]x^{2}[/tex] + 9x - 5 = 0

Step-by-step explanation:

// Use the Vijet's theorem,

// note that the kofficient before [tex]x^{2}[/tex] = 1

Sum of the roots is:

1/2 + (-5) = - 4,5

Product of the roots is:

0,5 * (-5) = - 2,5

Formation of quadratic equation:  

[tex]x^{2}[/tex] - (sum of the roots) x + product of the roots  =  0

[tex]x^{2}[/tex] - (-4,5) * x + (-2,5) = 0

[tex]x^{2}[/tex] + 4,5x -2,5 = 0

// multiply both sides by 2

2[tex]x^{2}[/tex] + 9x - 5 = 0

Make me the brainliest ;)

ax-by/c =d solve for x

Answers

Answer: x = (cd + by) / a

Working out:

(ax - by) / c = d

1)Multiply by c on both sides to get:
ax - by = cd

2) Add by on both sides to get:
ax = cd + by

3) divide by a on both sides to get:
x = (cd + by) / a

PLEASE HELP ME!!!!!!!

Answers

Step-by-step explanation:

step 1. triangles ABG and ACF are similar.

step 2. triangle ACF is twice the size of triangle ABG.

step 3. if BG = 8 then CF = 16.

1. Use the inequality 12≥6(12x+2).
a. Apply the Distributive Property to the right side.

b. Solve the inequality.

Answers

The answer would be 72x + 12 but I’m not sure but that’s what I got
12_>6(12x+2)
12_>72x+12
-12 -12
0_> 72x
/72 /72
Zero divided by anything is zero.
0_>x

In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.​

Answers

Answer:

a. 3g + g = 53

b. 40 boys and 13 girls

Step-by-step Explanation:

(3g = number of boys)

(g = number of girls)

3g + g =53

4g = 53

g = 13.2

53 - 13.2 = 39.8 (boys)

we round to the nearest tenth on both

girls 13.2---13

boys 39.8---40

what is the radius of a circle with the ratio 1:4 when the smaller one is 12cm​

Answers

Answer:

48

Step-by-step explanation:

1 to 4 = 12 to ?

multiply the small one by 4 to get the bigger one

Step-by-step explanation:

1:4

12:x

1=4

12=x

cross multiply

x=4×12

x=48

A object falls at 16t^2 feet in t seconds you drop a rock from a bridge that is 906 what is the hight in feet after the rock is droped

Answers

Answer:

824 feet

Step-by-step explanation:

Given

[tex]h(t) = 16t^2[/tex]

[tex]H = 906[/tex] -- Initial Height

Required

Calculate the height after 2 seconds --- missing from the question

First, we calculate the distance moved in 2 seconds

[tex]h(t) = 16t^2[/tex]

[tex]h(2) = 16*2^2[/tex]

[tex]h(2) = 16*4[/tex]

[tex]h(2) = 64[/tex]

This means that the object covered 64feet

The object current height is then calculated as:

[tex]Height = H - h(t)[/tex]

t = 2. So, the equation becomes

[tex]Height = H - h(2)[/tex]

Substitute values for H and h(2)

[tex]Height = 906- 64[/tex]

[tex]Height = 824[/tex]

can someone help asap ill give brainiest plus 50 points if you answer right.

Examine the following graph of a nonlinear function.
Graph of a nonlinear function passing through (0, negative 3), (1, negative 2), (2, 0), & (3, 4).



What is the average rate of change over the interval 1≤x≤3?

Enter your answer as a number, like this: 42

Answers

Answer:

the answer is 3

Step-by-step explanation:

just guessed and got it right since it wasn't 1 or 2 because i tried searching up the answer and they were around 2 but rlly close to 3

The rate of change of y with respect to x is 3.

We have a graph of a Non - linear function.

We have to determine the average rate of change over the interval

1 ≤ x ≤ 3.

What do you understand by the Average rate of change of two quantities plotted along X and Y axis respectively?

It indicates the rate of change of y with respect to x. Mathematically -

[tex]$r=\frac{dy}{dx}[/tex]

or

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

According to the question -

The coordinate points plotted area s follows -

X    Y

1    -2

2    0

3    4

Now, the average rate of change →

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

[tex]$r =\frac{4-(-2)}{3-1}[/tex]

r = 3

Hence, the rate of change of y with respect to x is 3.

To solve more questions on Average rate, visit the link below-

https://brainly.com/question/21635353

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Solve for N.

N - 26 = 72
N - 26 +
= 72 +

N =

Answers

Answer:

98

Step-by-step explanation:

  Solve  :    n-98 = 0  

Add  98  to both sides of the equation :  

                     n = 98

Answer: N=98. 98-26=72

¿Por qué creen que la cantidad de almidones es
la misma si el cereal se come solo o con leche? ayuda :(​

Answers

Answer:

mira aveces el cereal se come con leche y aveces se come con yogurt a quienes lo hacen así claro el cereal tiene almidones

if the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?

Answers

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

[tex] P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ) [/tex]

[tex] P(\triangle ABC) = \frac{1}{2} \times 56 [/tex]

[tex] P(\triangle ABC) = 28\: cm [/tex]

find x or solve for x ​

Answers

Answer:

[tex] \huge \boxed{ \boxed{x = 8}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:rectangleequationPEMDAStips and formulas:every angle of a rectangle is 90°let's solve:

[tex]step - 1 : define \\ 12x - 6 = 90[/tex]

[tex]step - 2 : solve[/tex]

[tex] \tt add \: 6 \: to \: both \: sides : \\ \tt12x - 6 + 6 = 90 + 6 \\ \tt 12x = 96[/tex][tex] \tt divide \: both \: sides \: by \: 12 : \\ \tt \frac{12x}{12} = \frac{96}{12} \\ \tt \therefore x = 8[/tex]

GF GF
is justified as a step in a proof using the Reflexive Property of Congruence
Choose...
Alternate Interior Angles Theorem
Hypotenuse-Leg Theorem
Reflexive Property of Congruence
ASA Triangle Congruence Theorem

Answers

Answer:

Reflexive property of congruence.

Step-by-step explanation:

Answer:

reflective property

Step-by-step explanation:

jfjdjdjdjdjfjfjfjfuud

Please please PLEASE Help me!7th grade math, I will give brainliest to the correct answer!

Answers

CCcCcCcCcCcCc Cc c C c c c. C c c c

Answer:

c

Step-by-step explanation:

2hours 24mins in fraction​

Answers

Answer:

2 2/5

Step-by-step explanation:

2 24/60 = 2 2/5

there are 60 minutes in an hour so you can just put 24 over 60 and the two outside to write it as a mixed number fraction then reduce. If you want to write it as a improper fraction you can multiple 2 times 5= 10 then add 2 to get 12/5

1- The area of a parallelogram is 507 cm2. Its height is six times its base. Find the height and base.

Answers

Answer:

507=b x (3 x b)

507=b x 3b

507=3b^2

b^2=507/3

b^2=169

b=13

h=3 x b

h=3 x 13

h=39

Step-by-step explanation:

The height and base of the parallelogram is b = 13 cm and h = 78 cm

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A = b x h

where the base of the parallelogram is b

The height of the parallelogram is h

So , 507 = b x h

And , height is three times its base

So , h = ( b x 3 )

On simplifying , we get

507 = b ( b x 3 )

507 = 3b²

Divide by 3 on both sides , we get

b² = 169

Taking square roots on both sides , we get

b = 13 cm

So , the height of the parallelogram is h = 78 cm

Hence , the parallelogram is solved

To learn more about parallelogram click :

https://brainly.com/question/23488153

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6th grade math plz help me
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.




The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

Answers

Answer:

The mode, which is 7, is not a typical distance for the data. The median, which is 3.5, is not a typical distance for the data. The mean, which is 4, is a typical distance for the data. So, Grace’s reasoning is not correct.

It would be appreciated if you could may help me with this

Answers

Answer:

Answer for the first pic is 122.24  

Answer for the second pic is A

Step-by-step explanation:

the rectangle is 72 in

the semi-circle is 50.24

Answer for the first pic: 122.24 in  

Answer for the second pic: A

Write the equation in standard form for the circle passing through (2,6) centered at the origin.

Answers

Answer:  x^2 + y^2 = 40

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

Explanation:

The center is the origin, so (h,k) = (0,0).

The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2

(x-h)^2 + (y-k)^2 = r^2

(2-0)^2 + (6-0)^2 = r^2

2^2 + 6^2 = r^2

4 + 36 = r^2

40 = r^2

r^2 = 40

We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.

------------------

Since h = 0, k = 0, and r^2 = 40, we can say:

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 40

x^2 + y^2 = 40

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