A car used 1/32 of a gallon of gas to drive ¼ of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

Answers

Answer 1

8 miles using 1 gallon of gas

[tex]\sf \dfrac{1}{32} \ gallon \ gas \rightarrow \dfrac{1}{4} \ mile[/tex]

[tex]\sf 1\ gallon \ gas \rightarrow \dfrac{\dfrac{1}{4}}{\dfrac{1}{32}} \ mile[/tex]

[tex]\sf 1\ gallon \ gas \rightarrow \dfrac{0.25}{0.03125} \ mile[/tex]

[tex]\sf 1\ gallon \ gas \rightarrow 8 \ mile[/tex]

Answer 2
1/32 gallon used to cover 1/4mile

1gallon will be used

1/4÷1/321/4×321(8)8mi

Related Questions

PLEASE ANSWER FAST: What factor is represented by the yellow shading in the model? [Hint: Crossing the bold line means the whole number 1 and shading equals numerator]

(I will give brainliest to the correct question)

Answers

Answer 5/35
Explain 5 out of 35 are shaded yellow

Q4H: The question is in the picture below (please show work) :

Answers

-3x-5=16
-3x-5(+5)=16+5
-3x=21
-3x/-3=21/-3
x=-7

-4(y-2)=12
-4y+8=12
-4y=4
y=-1

8.88=4.44(x-7)
8.88=4.44x-31.08
39.96=4.44x
9=x

5(y+2/5)=-13
5y+2=-13
5y=-15
y=-3

HELP I ONLY HAVE ONE MINUTE LEFT!!!
Which statements about this system of equations are true? Check all that apply.


A: The x-variable will be eliminated when adding the system of equations.

B: The y-variable will be eliminated when adding the system of equations.

C: The sum of the system of equations is Negative 8 x = 14.

D: x = 2

E: y = 3

F: There is only one solution to the system of equations.

Answers

Answer:

Step-by-step explanation:

b,d,e,f :)

D and E are the answers

Bijou says the following steps can be used to find 0.62 of 7:

Step 1

Step 2

Step 3


Step 4


Change "of” to the multiplication symbol.

62 × 7 = 434

There are 0 decimal places in 7 and 2 decimal places in 0.62 for a total of 2 decimal places in the factors.

Move the decimal place in the product 2 places to the right to find the solution: 0.62 of 7 is 43,400.

In which step did she make her first error?

Step 1
Step 2
Step 3
Step 4

Answers

answer is step 1

Step-by-step explanation:

Answer:

I believe it's a, step one

Step-by-step explanation:

the term "of" in mathematics usually means division

get more math help pls

Answers

If the temperature drops 3 degrees ever hour, and she monitors it for 5 hours, then the equation would be 3 x 5 = 15. So the temperature ultimately has dropped 15 degrees during the past 5 hours.

Answer: See below

Step-by-step explanation:

If the tempature is dropping 3 degrees every hour mulitply 3x5 and you will get 15. Therefore the answer is -15 degrees

Whoever answers correctly can have brainliest
but answer asap

Answers

Answer:

8 4/25

Step-by-step explanation:

2 2/5 = 12/5

3 2/5 = 17/5

12×17/5×5

204/25 = 8 4/25

Answer:

[tex] 8 \dfrac{4}{25} [/tex]

Step-by-step explanation:

[tex] 2 \dfrac{2}{5} \times 3 \dfrac{2}{5} = [/tex]

[tex] = \dfrac{12}{5} \times \dfrac{17}{5} [/tex]

[tex] = \dfrac{204}{25} [/tex]

[tex] = 8 \dfrac{4}{25} [/tex]

pls help me this is so frustrating

Answers

Answer:

x = 60°

Step-by-step explanation:

m∠EGD = m∠BGF = x°

The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.

A straight line has total 180° interior angle.

solve:

m∠EGD + m∠DGC + m∠EGA = 180°x + 90° + 30° = 180°x + 120° = 180°x = 180° - 120°x = 60°

brainliest if it is right

Answers

Answer:

Step-by-step explanation:the answer is 5

Answer:

the answer i got was 5

Step-by-step explanation:

I get confused when there are boxes—
i also get stuck on fractions.. help

Answers

2.4x+2.8=10

Use inverse operations to find for x!

x= 3

The Answer is 2.4x+2.8=10 Hope this helped
Explained

what is the peremeter and area of the photo below, also please show work .

Answers

Answer:

102.849

Step-by-step explanation:

the perimeter of the square is just 4 × 18.

for the semi-circle the perimeter should be R(pi + 2)

so the perimeter of a semi circle is 30.849

add both values for the final answer which is 102.849

What is 1/-7 as a whole number? Fast! please!

Answers

Answer:

I think this is correct.

Step-by-step explanation:

1/-7 =  -0.14285714285714

If you round it to the nearest hundredth, it will be -0.14.

I hope you meant negative :)

-0.143 would be the answer, this isn’t specific, it is more rounded

(2016 Q9 ) Which two expressions are equivalent?

Answers

Answer:

C

Step-by-step explanation:

C has the only two equivalent expressions.

Answer C

PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help

Which is a solution to the linear inequality 2x-3y>6
A. (3,0)
B. (-3,1)
C. (3,-1)

Answers

Answer:

C ( 3,-1) is a solution

Step-by-step explanation:

2x-3y>6

Let x = 3

2(3) -3y >6

6 - 3y>6

Subtract 6

-3y >0

Divide by -3

-3y/-3 < 0/-3

y < 0

If x = 3 y must be less than 0

C ( 3,-1) is a solution

The answer is C.

Plug it into the equation.

2(3) - 3(-1) > 6

Simplify.

6 + 3 > 6

9 > 6

Since this is true, this is the answer.

Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5.
What would the coordinate pair be?

Answers

Answer:

(11,8)

Step-by-step explanation:

9+2=11

5+3=8

Answer:

(11,8)

9+2=11

5+3=8

The vertices of triangle DEF are D(12, -8), E(-4, -8), and F(-4, 16). The triangle is dilated with a scale factor of 1/4. Estimate the perimeter of the dilated figure to the nearest whole number.

Answers

Answer:

6

Step-by-step explanation:

2

Find the value of x. please explain and show your work.

top(50) left side(24) bottom(32) right side (x)

Answers

Answer:

30

Step-by-step explanation:

use Pythagoras theorem

hypothenuse of bottom triangle =√24^2+32^2 = 40

x =√50^2-40^2 = 30

Data management probability

Answers

Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.

Step-by-step explanation:

Is anyone able to figure this out, I can't do this

Answers

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

[tex]\implies r^2 + r^2 = c^2[/tex]

[tex]\implies 2r^2 = c^2[/tex]

[tex]\implies c=\sqrt{2r^2}[/tex]

So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

[tex]\implies \sqrt{2r^2}+r=1[/tex]

[tex]\implies \sqrt{2r^2}=1-r[/tex]

[tex]\implies 2r^2=(1-r)^2[/tex]

[tex]\implies 2r^2=1-2r+r^2[/tex]

[tex]\implies r^2+2r-1=0[/tex]

Using the quadratic formula to calculate r:

[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]

[tex]\implies r=-1\pm\sqrt{2}[/tex]

As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex]  only

The answer to your equation is C

Lisa is working on plans for a 12-acre housing development. A park will [tex]2\frac{1}{2}[/tex] cover acres, and paved areas will take [tex]1\frac{3}{4}[/tex] acres. How many acres are left for home sites.

Answers

Answer:

Step-by-step explanation:

Here is the equation for this problem:

2 1/2 + 1 3/4 + x = 12

To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)

3/2 + 7/4 + x = 12

The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)

3 x 2 = 6

2 x 2 = 4

Now, the equation looks like this:

6/4 + 7/4 + x = 12

Now add the fractions. The denominator stays the same, but the numerators are added together.

6/4 + 7/4 = 13/4

Now, you can revert 13/4 back to a mixed number

13/4 = 3 1/4

The equation should look like this now:

3 1/4 + x = 12

Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)

12 - 3 1/4 = 8 3/4

Now, it should look like this:

x = 8 3/4

You could change the 8 3/4 into a decimal as well, which would look like this:

x = 8.75

Here is a summary of the whole equation:

2 1/2 +  1 3/4 + x = 12

3/2 + 7/4 + x = 12

6/4 + 7/4 + x = 12

13/4 + x = 12

3 1/4 (-3 1/4) + x = 12 (-3 1/4)

x = 8 3/4 or 8.75 acres

Answer:

Lisa has 8 3/4 acres left for home sites

There will be 7.75 acres of land left for home sites.

What is Mixed Fraction?

Mixed fractions are type of fractions which includes both a whole part and a fractional part.

It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a +  [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.

Total land for housing development = 12 acres

Land covered by park = 2 [tex]\frac{1}{2}[/tex]

                                     = (2 × 2 + 1) / 2

                                     = 5/2 acres

Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]

                                                  = (1 × 4 + 3) / 4

                                                  = 7/4 acres

Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{17}{4}[/tex]

                                                                           = 4.25 acres

So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])

                                     = 12 - 4.25

                                     = 7.75 acres

Hence Lisa can build the home sites in the remaining 7.75 acres of land.

To learn more about Mixed Fractions, click :

https://brainly.com/question/29264210

#SPJ2

Elliot runs on a school track so he can measure his running distance each day. The table below shows the number of miles he ran each day this week.

What is the total distance Elliot ran from Sunday through Friday? Show your work.

Elliot’s goal is to run a total of 20 miles per week. What is the minimum number of miles he should run on Saturday to meet his goal? Show work or write an explanation to support your answer.

Answers

Answer:

three and three fourths

Step-by-step explanation:

add all the numbers and subtract from 20

__,__,80,64,51.2,40,96,...

Find the first two terms of the geometric sequence.

Answers

Answer:

125, 100, 80,64,51.2,40.96...

Step-by-step explanation:

y=[tex]\frac{4}{5}[/tex]x

So let's work backwards!

[tex]\frac{5}{4}[/tex](80)

=100

Then...

[tex]\frac{5}{4}[/tex](100)

=125

Hope this helps! :D

Answer:

  125, 100

Step-by-step explanation:

Perhaps the terms of your series are supposed to be ...

  __, __, 80, 64, 51.2, 40.96, ...

The common ratio is 64/80 = 0.8, so the recursive relation is ...

  t[n] = 0.8×t[n-1]

__

Solving for the previous term, we find ...

  t[n]/0.8 = t[n-1] . . . . . . divide by 0.8

or ...

  t[n-1] = 1.25×t[n] . . . . . rearrange

Then the term previous to 80 is 1.25×80 = 100.

And the term previous to 100 is 1.25×100 = 125.

The first two terms of the geometric sequence are 125 and 100.

Sondie sold $6,300 worth of jewelry for her company. She earns $573.25 for
income each week. She is given a 20% commission on her total sales. What was
Sondie’s total income?

Answers

Answer:

i think maybe $1833.25

Step-by-step explanation:

[tex] \frac{20}{100} \times 6300[/tex]

= $1260 + $573.25

= $1833.25

Got yo bro…. She makes $1833.25

You find 20% of $6300 which is 1260. Then you add that to the $573.25 and get that as your answer

PLEASE HELP, the picture below are the details (giving brainliest)

Answers

Answer:

A or C but i believe it is A

Which numbers are Rational Numbers?

Answers

Answer:

[tex]A.) -67,~ \sqrt{81},~ \dfrac 75[/tex]

Step-by-step explanation:

[tex]\text{A rational number is a number that is expressed as the ratio of two integers.}[/tex]

brainlest if it’s right

Answers

24 times would be used to cover the top of the book.
6 x 4 + 24
the correct answer is 24.

brainliest if it shows how to do all 4

Answers

formula: pi×2×r or pi×d

1. 9m×2×pi= 56.55m

2. 17ft× pi= 53.41 ft

3. 3yd×pi= 9.42 yd

4. 5cm× pi= 15.71cm

Answer if u know please ASAP if correct and speedy I’ll give brainliest

Answers

Answer: tbh its not a

Step-by-step explanation: i just know

Answer:

Answer is C.      2, -4,

Step-by-step explanation:

She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?

Answers

Answer:

she has 7 outfits

Step-by-step explanation:

cause if you have 7 pairs of pants and 6 shirts and 7 hoodies you can make 7 outfits

brainliest if it is right

Answers

and area of circle is 3.1416×2.25=7.0686 cm2

Answer:

Area=7.071428571

Step-by-step explanation:

Before finding its area lets find its radius.

Given,

Diameter=3

Now,

Radius,r=D/2

          r =3/2

           r=1.5            

Again,

         Area of circle,A= pi*r*r

                           A =22/7*1.5*1.5

                           A=22/7*2.25

                           A=49.5/7

                           A=7.071428571 ans.

You are going to draw 4 cards from a standard deck of 52 cards. How many different combinations of cards could you draw?

Answers

Answer:

Step-by-step explanation:

To start with we can consider how many possibilities there are for the first card which is obviously 52, as any one of the cards in the deck can be found on the top of the pile. The next card is a bit trickier as there are only 51 possible cards that it could be as the  first card takes up a spot. The third card now only has 50 possible cards it could and this continues all the way down to the last card.

is that good

You can make 208 different combinations






Explanation: To find the combinations you can multiply 52 and 4 and you should get 208
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