Mathematics Middle School

Scott's gas tank is 1/3 full. After he buys 12 gallons of gas, it is 7/9 full. How many gallons can Scott's tank hold?

Answers

Answer 1

Answer: We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/3x or 1/3 of a full tank.

After adding 12 gallons, at the end, he has 7/9x, or 7/9 of a full tank

So we start with

(1/3)x + 12 = 7/9x

Let's subtract 1/3x from both sides

12 = 7/9x - 1/3x

Remember, we need to use common denominators to subtract, so 1/3 becomes 3/9

12 = 7/9x - 3/9x

Now we simplify to get

12 = 4/9x

Multiply the reciprocal of 4/9 to both sides which is 9/4

12 * 9/4 = x

Answer is 27 gallons.

Related Questions

An engineer is testing two designs for a catapult. She wants the catapult to launch objects 150 feet. The engineer records the distances in feet for 10 trials for the two designs, shown below. Catapult A: 144, 154, 148, 147, 150, 150, 156,151, 153, 151 Calculate the mean absolute deviation for Catapult A.

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Answer:

random sample of 10 tomatoes from each farm are shown below in ounces. 4.

Step-by-step explanation:

I know its a lot but pls help its due soon

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Answer:

6.

a) where +3b should be - 3b.

b) -4(5a+2-3b)

c) -4(5a+2-3b)= -20a-8+12b

11.

-6(x-3)

12.

-15y-40= -5(3y+8)

-5(3y+8)= -15y-40

I really hope it helped, good luck! :)

dont not take answer from Zayar223, or Zepav03

Answers

Answer:

thanks

Step-by-step explanation:

THANKS IF YOU ANSWER,

Answers

ANSWER: 114ft^2


Area of cabinets = (4*2)+(4*2) = 16ft^2

Area of kitchen = (10*13) = 130ft^2


Subtract area of the cabinets from total area


130ft^2 - 16ft^2 = 114ft^2

help for brainliest plz

Answers

Answer:

1. Irrational

2. Rational

3. Rational

4. Irrational

5. Irrational

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever)

Find the correct plugged in formula for each figure.

Answers

Answer:

3

Step-by-step explanation:

I'm just guessing because you don't give any numbers or anything at all

A customer suspects that one brand of cereal does not fill its boxes with the weight that is printed on the box. He decides to weigh several boxes to test his theory.
Which of these methods will produce the most representative sample of the population of boxes containing this brand of cereal?

A). The customer randomly selects one grocery store, weighs
one case of the cereal, and uses this weight to estimate
the weight per box
B). The customer randomly selects four grocery stores and
weighs two boxes from each selected store.
C). The customer randomly selects one grocery store and
weighs half the boxes of cereal.
D). The customer randomly selects one grocery store and
weighs all the cereal boxes on one shelf

Answers

Answer:

the answer is b

B). The customer randomly selects four grocery stores and

weighs two boxes from each selected store.

B !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is a domain in the following expression? 1/x I will mark brainliest

Answers

Answer:

The set of all first components of the ordered pairs of relation R is called domain

please help! I need this now who ever gets this first will get a brainlest

Answers

Answer:

the cost of 0 caramel bags

Answer:

the cost of zero bags

Step-by-step explanation:

because it's the origin and just starting the graph.

Solve for n
n/5 = 14
Pleas Help

Answers

n
--- = 14
5

14 × 5 = n

n = 70

Answer:

N=70

Step-by-step explanation:

To solve for this equation you solve it backwards by multiplying 5 with 14 to get your answer of 70.

Can someone please help me with this math thing

Answers

Answer:

1440

Step-by-step explanation:

How one of my teachers said is 72 time 40 is 2880

and then 2880 divided by 2 is 1440. This is what my teacher said so I don’t know.

Answer is 1440 my friend

Please help quickly! will give brainliest! no explanation is required. just a correct answer :)

Answers

Answer:

Answer : D

Step-by-step explanation:

The answer is D! Hope this helps!

Help please I have 10 minutes !!

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Answer:

<EGD+<FGB+<BGD= 180°

79+79+<BGD=180°

158+<BGD=180°

<BGD=180°-158°

<BGD=22°

<BGD and p are alternate angles

and so are equal

therefore p= 22°

please help!!


Picture 1 is the question
Picture 2 is answers

Answers

The answer is b hope this helps

Answer:

The first one.

Step-by-step explanation:

download this pdf to see these math problems! if u want me to take a screenshot of it instead then just lmk
(btw im not one of those bots who gonna spam you dw)

Answers

Answer:

Here is the answer

Step-by-step explanation:

1. bottom right

2. top left

3. where the 0/zero is

4.

A top by the five

B the middle of the graph

C bottom right where the 5 is

5. (4,6)

6. (2,9)

7. (0,4)

8. It is wrong because they mixed up the y and x axis. Ds real answer is (7,3) In order to get it right they have to flip the numbers around.

HELP ME FAST PLS! I only have like an hour..

Answers

Answer:

2/10 and 0.2

Step-by-step explanation:

2/10 or 0.2 is the answer

Please help me my grade is a D

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The first one is false and the second one is 1.5 2 is the outlier

someone plz help. it has a 5 minute timer i got 3 minutes left

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Answer:i am hving some difficulty in using these symbols and showing u answer here really sry 4 tht frnd....

but u will answer by pythagoras theorem do each measurements with u will get ur ans fast

Ok so I have been trying to figure this answer out but I CANT SO PLZZZZZ HELP AND NO LINKS!!!

Graph the following inequalities on a number line.
X ≥ -4

Answers

x is greater then -4 because x is just one
On a number line draw a closed circle on -4 then draw a line from it facing right

Closed circle is greater/less than or equal then the line shows if x could be doing higher or lower number

Jason, Sarah, and Tyler are comparing how much money they each have in their savings account. Jason has $125.18, Sarah has $347.90, and Tyler has $230.52. How much more money does Sarah have than Tyler?

Answers

Answer:

Sarah has $117.38 more dollars

Step-by-step explanation:

All you have to do is subtract the amount of money Sarah has with the amount of money Tyler has $347.90 - $230.52 = $117.38 :)

It’s 117dollars more

help please!!! i need to finish it!

Answers

7)B
5)D
4)c!
Hope this helps

pls answer im not good with rectangles

Answers

V = 7 x 4 x 15 = 420 inches^3
the answer would be 420

Paul volunteered at the senior center for 3 9/10 hours on Saturday and 5 1/6 hours on Sunday. How many hours did Paul volunteer at the senior center on both days?

Answers

Answer:

9 1/15 Hours

Step-by-step explanation:

First you must find the LCD of the two fractions. Then, you can add them together very easily. Last, just simplify.

Hope this helps!

Solve for q.
29 - q = 8
q=

Answers

q = 21

29 - q = 8
First subtract 29 from both sides.

-q = 8 - 29

Subtract 29 from 8 which is -21.

Then flip the signs.

q = 21

For the data shown in the scatter plot below, which point is an outlier?

A. (1, 4)

B. (3, 3)

C. (4, 7)

D. (8, 7)
Pls answer ASAP

Answers

This answer would be D. (8, 7)

Note: not close to other points





It would be D Bc that’s the plot that’s farthest with a point

Simplify: -12 • -4

Giving Brainliest^^

A) -4,816
B) -16
C) 16
D) 48

Answers

Answer:

The right answer is option (d) 48.

Answer:

It be D my dudette

Step-by-step explanation:

please help me with my math HM pleeease

Answers

Reflection then clockwise rotation. And yes they are congruent, it’s still the same shape, all they did was move it around. They didn’t change the size, or move the points. Congruent is defined as “identical in form”, but it’s ok if they’re rotated or flipped.

HELP QUICKLY A basketball league’s average score is 58 points per game. Coach McGee tracks a team’s average for five weeks and compares it to the league’s average. The table shows the variances in scores for five weeks.

Points Above/Below Average
Week 1
Week 2
Week 3
Week 4
Week 5
2 and StartFraction 1 Over 8 EndFraction
1.6
Negative 2 and StartFraction 1 Over 8 EndFraction
–1.8
Negative 1 and StartFraction 4 Over 5 EndFraction

Which comparison is true? Use the number line to help you.

A number line going from negative 5 to positive 3 in increments of 1.

Week 1 = Week 3
Week 4 = Week 5
Week 2 < Week 4
Week 5 < Week 3

Answers

week 4 A line is drawn on a coordinate grid by the equation y = 1.
Which of the following lines would represent a row
perpendicular to it? A) a line containing the point (5,2)
B) y = 1
C) X = 4
D y = 3

Answer:

B

Step-by-step explanation:

Week 4 = Week 5

I got it correct.

here are 100 points(please answer so you're answer does not get taken down) here is the question: What does 126×6=

Answers

Answer:

756

Step-by-step explanation:

Answer:

126x6= 756

My Bad If this took So Long, I Used long division To Explain The Concepts.

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 126 on the right side

Step 2:

The divisor (6) goes into the first digit of the dividend, 0 times

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0)

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1- 0 = 1)

Step 5: Move down the 2nd digit of the dividend

Step 6: The divisor 6 goes into the bottom number 12, 2 times

Step 7: Multiply the divisor by the result in the previous step 6 x 2 = 12

Step 8: Subtract the result in the previous step from the number written above it (12 - 12 = 0)

Step 9: Move down the last digit of the dividend 6

Step 10: The divisor 6 goes into the bottom number 6,  1 time

Step 11: Multiply the divisor by the result  in the previous step 6 x 1 = 6

Step 12: Subtract the result in the previous step from the number written above it. (6 - 6 = 0)

Answer: 756

Katie is going to carpet her living room floor and drew the diagram shown below. What is the total area of carpet she will need?

Do it step by step

Answers

Katie will need for her carpet/area of her carpet 194 ft squared

As per the area of a rectangle, the total area of carpet Katie will need is 194 square feet.

What is the area of a rectangle?

The area of a rectangle is the product of the length and the width of that rectangle.

Here, we need to find the area of the living room that Katie is going to carpet.

We can divide the below mentioned area into two rectangles in order to calculate the total area of the living room easily.

As per the diagram, AB = 10 feet, BC = 11 feet.

Therefore, the area of the rectangle ABCD is

= AB × BC square feet

= 10 × 11 square feet

= 110 square feet

Again, for the EFGC rectangle,

EF = 6 feet, FG = 14 feet

Therefore, the area of the EFGC rectangle is

= EF × GC square feet

= 6 × 14 square feet

= 84 square feet

Therefore, the total area of the living room is

= (Area of ABCD rectangle + area of EFGC rectangle)

= (110 + 84) square feet

= 194 square feet

Learn more about the area of a rectangle here: https://brainly.com/question/20693059

#SPJ2

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