Deon's gas tank is  1/5  full. After he buys  13  gallons of gas, it is  7/10  full. How many gallons can Deon's tank hold?​

Answers

Answer 1

Answer/Step-by-step explanation:

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

So we know that right now he has 1/5x or 1/5 of a full tank.

After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank

So we start with

(1/5)x + 13 = 7/10x

Let's subtract 1/5x from both sides

13 = 7/10x - 1/5x

Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10

13 = 7/10-2/10x

Now we simplify to get

13 = 5/10x

Multiply the reciprocal of 5/10 to both sides which is 10/5

13 * 10/5= x

Answer is 26 gallons.

Therefore, Deon's tank can hold 26 gallons.

Answer 2

Answer:

26 gallons.

Step-by-step explanation:

7/10 - 1/5

= 7/10 - 2/10

= 5/10 = 1/2.

So the tank holds 2*13 = 26 gallons.


Related Questions

Subtract the linear expressions.

(34x−1)−(13x+4)

What is the difference?

Enter your answer in the box. Enter fractions as simplified fractions.

Answers

Answer: 21x-5

Step-by-step explanation:

All you have to do is subtract like you normally would and you'll get the answer

Which expression is equivalent to x6 – 9?


(x3)2 – 33

(x3)2 – 32


(x3)3 – 32

This polynomial is an example of a .

Answers

Step-by-step explanation:

[tex] {x}^{6} - 9 = { ({x}^{3} })^{2} - {3}^{2} [/tex]

Answer:

(x^3)^2-3^2 , or b.

and its the diffrence of suqares.

Step-by-step explanation:

25) 2x + 3y = 9
find slope and y intercept

Answers

Answer: Slope = -2/3      Y-intercept = (0,3)

Step-by-step explanation: Use the slope-intercept form y = mx + b to find the slope m and y-intercept b.

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?

b. Can he buy 2 pair of pants and 4 shirts?

c. Show the solution graphically.

Please answer quickly!

Answers

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

BRAINLIEST
Can I get some help on this assignments it’d take a lot of stress away from me

Answers

Answer:

Question=Q

Q2=18.9

Q3=26.7

Q4=24.8

Q5=35.6

Here are some answers

Remember if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Have a wonderful day!

The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?

Answers

Answer:

1489

Step-by-step explanation:

Solve the equation 4x^2 – 32x + 64 = 0.

Answers

Answer: x = 4

Step-by-step explanation:  4x^2−32x+64=0

4(x−4)(x−4)=0

x−4=0 x−4=0

x=4

help!?!!!???
x-14=20

Answers

Answer:

x = 34

Step-by-step explanation:

Just add 14 on both sides of the equal sign to get x = 34.

Hope this helps :)

Answer:

x = 34

Step-by-step explanation:

hope it helps a lot

that's the final answer

word problem 3/4 ÷3/8

Answers

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

[tex] \frac{8}{4} = \\ [/tex]

[tex]2[/tex]

Which relation is a function?

Answers

Answer:

The bottom right option

Step-by-step explanation:

Functions need each input to map to exactly one output. Graphically speaking, this means that any two points on the function cannot have the same x-coordinate.

Given this, the bottom right option is the only one that fits these circumstances.

The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answer:

a= -1

b= 7

c= 0

Step-by-step explanation:

equation is

y=h(x)(x-7)

let x be 5 and y be 10 to solve for a

10=h(5)(5-7)

10=h(-10)

h=-1

now equation is

y= -x²+7x

so a=-1

b=7

c=0

The value of a is -1, the value of b is 7 and the value of c will be equal to zero.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data provided in the question,

y = h(x) × (x-7)

let x be 5 and y be 10 to solve for a

10=h(5) × (5-7)

10 = h(-10)

h = -1

now equation is

y = -x²+7x

So,

a = -1

b = 7

c = 0

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

I need help this goes towards my grade so please be correct

Answers

Answer:

0 us the answer for this question

please help
y∝1/√x If y=5
when x=36 find,
x when y=3

Answers

Answer:

x = 100.

Step-by-step explanation:

y ∝ 1/√x

y = k /√x    where k is a constant.

When x = 36 y = 5 so we have:

5 = k / √36

5 = k / 6

k = 30

So we have the relation:

y = 30 /√x

When y = 3

3 = 30/ √x

√x = 30/3 = 10

x= 100.

it would be great if you explain it in english to me,i understand it better​

Answers

[tex] \white{ \rule{40pt}{555555pt}}[/tex]

A fabric store is having a sale. Fleece fabric has an original price of $18 per yard. It is on sale for 30% off the original price. Find the sale price of the fleece fabric.

I seriously needed answers since I'm running out of time​

Answers

Answer:the answer is 5.4

Step-by-step explanation:

thats the answer because it says per means to multiply so i'd multipled 18x 30%

To all who are good at math please help 80 points

Answers

Answer:

Number 4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Everyone loved Caroline's cookies so much that they ate them all! She wants to make some more to eat at
home, but would only like to make 1 dozen cookies. How much of each ingredient will she need? Rewrite
the recipe so that it will only make 1 dozen cookies.

Answers

Which one is the original sentence?

Please help if you can! How many possible combinations of two number cubes, numbered 1 through 6, would add up to exactly 7?

Answers

Answer:

1. 1+6

2. 2+5

3. 3+4

4. 4+3

5. 5+2

6. 1+6

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

b.1

Step-by-step explanation:

Please help me with this homework …

Answers

Answer:

I think letter B

Step-by-step explanation:

Yyyyyyyygggggggggggggggg

Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3

Answers

Answer:

51.2578125

Step-by-step explanation:

3 * (3/2)^(8 - 1)

3 *(3/2)^7

51.2578125

The difference between two times a number and eight is twenty two. What is twice the number?

Answers

Answer: 30

Step-by-step explanation:

2x -8 = 22

2x = 22 + 8

2x = 30

Divide both sides by 2

X = 15

Twice of x

2 x X = 2 x 15 = 30


2. Find the value of x. Give your answer in
simplest radical form.
20
16

Answers

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

I don’t even know the answer to this one plz help me

Answers

Answer:

You would multiply -11 by 9/4

This is because they are on opposite sides of the equation, and 9/4 is connected to a variable.

How to multiple decimals by decimals.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

I need assistance on this question please
X-3y=24

Answers

Answer:

x = -24 + 3y

Step-by-step explanation:

Question 2 1 pts Which statement best describes 1-14 1? Remember, absolute value is a number's distance from O, so the number will always be positive :) O The distance from -14 to 0 on a number line. The answer is 14. O The distance from 14 to O on a number line. The answer is -14. O The distance from -14 to 14 on a number line. The answer is 28. O The distance from 0 to 14 on a number line. The answer is -14. Question 3 1 pts​

Answers

Answer:

  (a)  The distance from -14 to 0 on a number line. The answer is 14.

Step-by-step explanation:

If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...

  The distance from -14 to 0 on a number line. The answer is 14.

what is happening at this step in the equation solving process for 3x+7=5x
7=2x

Answers

Your subtracting 3x from 5x: 5x-3x
This is so you only have a variable on one side
3x+7=5x
-3x -3x
7=2x
(Divide both sides by 2)
x=3.5

Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.

What is the approximate discount on the calculator?


20%

25%

30%

35%

Answers

The approximate percentage discount is equal to 25%.

Given the following data:

Sales price = $68.25.Original price = 89.99

To calculate the approximate discount on the calculator:

First of all, we would determine the discount on the calculator by using the following mathematical expression:

[tex]Discount = Original\;price -Sales\;price[/tex]

[tex]Discount = 89.99 -68.25[/tex]

Discount = $21.74

Now, we can calculate the approximate percentage discount:

[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]

Percent discount = 25%

Read more: https://brainly.com/question/16068904

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