Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When he filled the tank, he recorded the mileage as 24,033 miles. It cost him $83.38 to fill his completely empty gas tank. Then If gas cost $3.79 per gallon, how many gallons of gas can his tank hold? Then When he got to their destination there was exactly ¼ that amount of gas left in the tank. The new mileage on the truck was 24,297 miles. Determine the gas mileage, in miles per gallon, for the trip. How many gallons were used? How many miles were driven? How many miles per gallon did his truck get?

Answer:

C. work backwards

Step-by-step explanation:

Given from the first statement of the question that that four people are in line. This is the result of the question, so the strategy required would be the work backwards.

Jennifer is ahead of Jeanie implies that Jeanie is somewhere behind Jennifer.  Since John is neither the first or the last in the line, then he must be between Jeanie and Jennifer. And Jarett is directly in front of Jennifer, so that Jarett is the first in line. The arrangement goes thus:

                   Jeanie ⇒ John ⇒ Jennifer ⇒ Jarett

Answer:

The answer is C, work backwards.

Step-by-step explanation:

I really hope this helps.

Answer:

I believe the slope is 2/3.

Answer:

c

Step-by-step explanation:

its really simple it's c

1/5

5/12

Hi there !

1/2 × 2/5 = 1×2/2×5 = 2⁽²/10 = 1/5

3/4 × 5/9 = 3×5/4×9 = 15⁽³/36 = 5/12

Good luck !

Answer:

1/5

5/12

Step-by-step explanation:

These are the answers because:

1) Whenever we multiply fractions, we have to multiply the numerator with the numerator and the denominator with the denominator.

2) In this case it would be:

1/2 x 2/5 = 1 x 2/2 x 5 = 2/10 = 1/5

3/4 x 5/9 = 3 x 5/4 x 9 = 15/36 = 5/12

Hope this helps! :D

Answer:

ASA Postulate

Step-by-step explanation:

It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.

Answer:

B. ASA

Step-by-step explanation:

We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.

Answer:

sqrt(97)

Step-by-step explanation:

Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".

To do that, we can use the Pythagorean theorem, where (change in x)^2+(change in y)^2 = (distance)^2:

(5-(-4))^2+(3-7)^2=d^2

(9)^2+(-4)^2=d^2

81+16=d^2

97=d^2

d=sqrt(97).

Answer: Direct means when x goes up y also goes up, inverse means when x goes up, y goes down and vice versa.

Answer:

Step-by-step explanation:

The answer is that with direct variation, the value and the quantity changes and goes according, either lower or higher, but with inverse variation, the value can go higher, and the quantity can go lower, and the quantity can go higher, but the value can be lower.

Let, price of fudge and gum is x and y respectively.

Converting given statements into mathematical equation.

We get :

5x + 3y = 5.70  ....1)

2x + 10y = 3.60 ....2)

Solving equation 1 and 2, we get :

x = $1.05 .

y = $0.15 .

Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :

P = 20( 1.05 ) + 20( 0.15 )

P = $24

Hence, this is the required solution.

Answer:

3y= -1 + 2x -4

Step-by-step explanation:

cause.... COOCHIEMAN

Answer:

x = -2 1/4

Step-by-step explanation:

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

-2x - 1/2 + 1 = 5

-2x + 1/2 = 5

-2x = 5 - 1/2

-2x = 4 1/2

-x = 2 1/4

x = -2 1/4

Hope this helps!

Let me know if I'm wrong :)

Answer

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2 = 4!!!

Hope this helps :)

Answer:

1. 7+62+5+4

2. 18+62+5

3.15+4+1

4.5 families

6. three

Step-by-step explanation:

Answer:

$4,225.6

Step-by-step explanation:

Jenifer had the following deductions from her monthly pay

Federal income tax of $87

State income tax of 2.5% of gross pay

City income tax of 1.2% of gross pay

Jennifer monthly pay is $3,982.22

Therefore jenifer monthly gross pay can be calculated as follows

Let x represent the gross pay

x = 3982.22 + 87 + 1.2/100x + 2.5/100x

x = 3982.22 + 87 + 0.012x + 0.025x

x =4069.22 + 0.037x

Collect the like terms

x - 0.037x = 4069.22

0.963x = 4069.22

Divide both sides by the coefficient of x

x = 4069.22/0.963

x = 4,225.6

Hence Jennifer monthly gross pay is $4,225.6

Answer:

Equal to 1

Step-by-step explanation:

By using the exponential delta we can infer that the orthogonal is correct because the high order bits multivariate and are asymptomatic.

Answer:

0

Step-by-step explanation:

Say the number was x.

3(x+5)-5=10

3(x+5)=15

x+5=5

x=0

Answer:

Kindly check explanation

Step-by-step explanation:

Given that there were five rummers in the team;

Each runner finished one after the other

Total. Points scored =. 55

Let the positions of each runner be :

1sr runner = p

2nd runner =.p + 1

3rd runner =.p + 2

4th runner =.p + 3

5th runner =.p + 4

(1st + 2nd + 3rd + 4th +. 5th) runner = 55

(p + p + 1 + p + 2 + p + 3 + p + 4) = 55

5p + 10 = 55

5p = 55 - 10

5p = 45

p = 9

Hence,

1st runner = 9th

2nd runner = 9 + 1 = 10th

3rd runner = 9 + 2 = 11th

4th runner = 9 + 3 = 12th

5th runner = 9+ 4 = 13th

Answer:

set two equation of line y=ax+b and y=cx+d

when these two lines are perpendicular to each other, then a*c=(-1)

x-2y=2

=>x-2=2y

=>(1/2)x-1=y

set the answer is y=ax+b

we can know that a/(1/2)=(-1)

=>a=-2

bring a=-2 and(7,-7) in y=ax+b

-7=(-2)*7+b

=>b=7

the answer is y=-2x+7

The solution of the equation when m = 2 and 11 = -3 will be - 52.

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs,

So solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

We have been given; 10m - 8n^2

(if m = 2 and 11 = -3)

If we plug in the variable

the equation is 20 - 8(-3)^2

Now, do the exponent

So, 20 - 8^9,

Then multiply

20-72 = -52.

Therefore, the solution of the equation when m = 2 and 11 = -3 will be - 52.

Learn more about finding the solution graphically here:

https://brainly.com/question/26254258

#SPJ2

Answer: C

Step-by-step explanation:

A slide is when you slide it over and a flip is when you flip it around

the answer is C because it said slide than flip across

Answer:

-4/9

Step-by-step explanation:

-2/9*2/1

-4/9

Answer:-4/9

Step-by-step explanation:used a caculator

Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

Answer:

divide it by 4

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

225 divided by 2 is 112.5x4= 450 so 450 is your answer

Answer:

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Step-by-step explanation:

After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work.

Correct calculation

8 ÷ 1/6

= 8 × 6/1

= 48

Check:

1/6 * 48

= 48 / 6

= 8

Patel's calculation

1/48 * 6

= 1/48 * 6/1

= 6/48

= 1/8

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Answer:

D on edge

Step-by-step explanation:

have a great day :)

hope this helps :)

Answer: Either use a calculator or do mental math/ practice more often.

Answer:

look t it like multiplication then the answer is divided by one of the numbers

Step-by-step explanation:

hope this was helpful lol

Answer:

1/2

Step-by-step explanation:

11/12 + (-7/12) have the same denominator so you can leave it as is.

11/12+(-7/12) is the same as 11/12-7/12 which is equal to 6/12 which can be simplified to 1/2