A tank of diesel fuel contains 210 gallons. Every week, 5 gallons is used. A tank of gasoline contains 430 gallons. Every week, 16 gallons is used. After how many weeks will they have the same amount of fuel? How much fuel will each tank hold on that day?

Answers

Answer 1

Answer:

After 20 weeks both tanks have the same amount of fuel.

Diesel tank= 110 gallons

Gasoline tank= 110 gallons

Step-by-step explanation:

Giving the following information:

Diesel tank:

Total capacity= 210 gallons

Unitary daily use= 5 gallons

Gasoline tank:

Total capacity= 430 gallons

Unitary daily use= 16 gallons

First, we structure the total fuel loss formula for each tank:

Diesel tank= 210 - 5*x

Gasoline tank= 430 - 16*x

x= number of weeks

Now, we equal both formulas and isolate x:

210 - 5x = 430 - 16x

11x = 220

x= 20

After 20 weeks both tanks have the same amount of fuel.

Prove:

Diesel tank= 210 - 5*20= 110 gallons

Gasoline tank= 430 - 16*20= 110 gallons


Related Questions

!!!!!!!HELP!!!!!!!
A teacher chooses a student at random from a class of 18 boys and 15 girls. Find the odds in favor of, and the odds against, each event.

14. choosing a girl

15. choosing a boy

Answers

Odds in favor of 14) 15/33
Odds against 14) 18/33
Odds in favor of 15) 18/33
Odds against 15) 15/33

A customer purchased a total of 12 coats and sweaters. Each coat cost $20.00 and each sweater cost $13.50. The customer spent $207.50 all together.

How many coats did the customer buy?

Answers

Answer:

7 coats

Step-by-step explanation:

they purchased 7 coats and 5 sweaters

Write the equation that describes the line with slope=2 and y-intercept=3/2 in slope intercept form

Answers

Answer:

y = 2x +3/2

Step-by-step explanation:

y = mx + b

m is the slope so

y = 2x + b

b is intercept so

y = 2x +3/2

1. Triangle ABC is similar to triangle DEF.
D
А
80
4 cm
B
С
10 cm
20 cm
E
What is the measure of ZD?

Answers

Answer:

            m∠D = 80°

Step-by-step explanation:

In similar triangles corresponding angles have the same measure.

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!


Choose one of the following.

Parallel lines have ____________________.

A. one solution
B. 10 solutions
C. infinitely many solutions
D. no solution

Answers

D. no solution

Because they never found each other, the point they cross on is the solution.

Answer: D

Step-by-step explanation: it just is

Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 5/8 feet and Grace threw it 39 3/5 feet. How far did the team throw the javelin? Show your work.

Answers

Answer:

Step-by-step explanation:

Claire................42 5/8

grace.............39 5/3

the team throw 42 5/8 + 39 5/3=

lets add first the 42+39=81

5/8+5/3  common denominator is 24

15/24+40/24=55/24=2 7/24

81+ 2 7/24=83 7/24

Answer:

Claire - 42 5/8

grace - 39 5/3

the team throw 42 5/8 + 39 5/3=

lets add first the 42+39=81

5/8+5/3  common denominator is 24

15/24+40/24=55/24=2 7/24

81+ 2 7/24=83 7/24

Step-by-step explanation:

The person above is correct. Have a nice day :]

I need answer to number 4 please ASAP

Answers

Answer:

no its not J !!! its F

Step-by-step explanation:

mark brainliest please :)

WHOEVER HELPS GETS A BRAINLIEST!

Answers

Answer:

8. A

9. A

Step-by-step explanation:

8. A

Women 20

men 16

20/16 = 5/4

which is equal to the ratio of 5:4 women to men

9.A

28 words = 1 minute

? words = 3 minute

3*28 = 84

Em uma oficina mecânica, 3 funcionários conseguem arrumar, em média, 5 veículos a cada 5 horas. Em época de final de ano, a demanda da oficina aumenta, pois muitas famílias querem estar com seu carro em ordem para viajar nas férias. Por conta disso, durante esta época do ano, o dono da oficina estima que deverão ser consertados, em média, 7 veículos a cada 3 horas.



©Shutterstock/Vgstockstudio

Para atender todos os clientes da oficina no tempo estimado, quantos mecânicos a mais deverão ser contratados?

A
3


B
4


C
5


D
6


E
7

Answers

Answer:

C

Step-by-step explanation:

Vc é BR ent deve entender

se 1 funcionário em 1h consegue fazer 1/3 do carro

3 em 1h consegue 1 carro

5 em 1h consegue 1,6 carros

ent é 5

Slope of -7, passes through (5, -9)

Answers

Answer:

y+9 = -7 (x-5)

Step-by-step explanation:

The point-slope form of the equation of a line is

y-y1=m(x-x1)

y-(-9)= -7(x-5)

y+9= -7(x-5) <---This is the answer

PLEASE HELP I WILL GIVE BRAINIEST!!!!
What is the value of (8 x 10^-2) x (2 x 10^5)? Express your answer using
scientific notation
quest
O 1 x 10^4
O 16 x 10^3
O 1.6 x 10^4
O 10 x 103
O 16 x 10^-10

Answers

Answer:

1.6 x 10^4

Step-by-step explanation:

First, 8*2 = 16

Since we are using scientific notation, this is expressed as 1.6 * 10^1

When we multiply using scientific notation, we add the exponents, therefore, 10^-2 x 10^5 = 10^3

1.6 x 10^1  x 10^3

We get 1.6 x10^4

HELP ME ASAP!!!! 80 points

Answers

Answer:

y = x + 3

Step-by-step explanation:

proportional equation

Answer: y = x + 3

Step-by-step explanation: This is a proportional equation.

1. Five times the difference of a number and three is 26. Write and solve an equation to find the value of the number.​

Answers

Answer:

5(7-1.8)=26

Step-by-step explanation:

Correct option is A)
Let two numbers be x & y
x−y=26 ____ (1)
x=3y ____ (2)

substituting (2) in (1) we get
3y−y−26
2y=26
y=13
x=3y from (2)
x=3×13
x=39
we need to find sum of two numbers
x+y=39+13
=52

Look at the expression below.
5(x + 7)^1/3
Which of the following best describes the expression?
O the third power of the product of 5 and (x + 7)
O the product of 5 and the cube root of (x + 7)
the product of 5 and the third power of (x + 7)
O the cube root of the product of 5 and (x + 7)

Answers

Answer:

the product of 5 and the Cubic root of ( X+7)

Many states have a meal tax that is proportional
to the total spent on food and beverage. In one
state, the meal tax is 8.22 How much tax will
a customer pay if the food and beverages total
is $23

Answers

$24.89

23x0.0822=1.89
23+1.89=24.89
The answer is 24.89 since you multiply and then add

Someone please help me im begging u and please be right pleaseeee i will mark brainliest if ur righttt and its 50 pointsss

Answers

Answer:

B)

Step-by-step explanation:

for a rectangle, the slopes of intersecting must be perpendicular to each other, for 90 degree angles:

slope of AB: -0.5

slope of BC: 2

We can see that the slopes are perpendicular, so yes

we can also see that the slopes of opposite sides are parallel:

slope of CD: -0.5

slope of AD: 2

By examining past tournaments, it's possible to calculate the probability that a school wins their
first game in the national college basketball toumament,
Rank 2 5 7 8 9 10
Probability (%) 93 70 63 53 45 42
Each school's rank going into the tournament is a strong indicator of their likelihood of winning
their first game. This can be expressed as y= -6.42x + 105 where x is their rank (out of 16) and
y is the percent chance they have of winning their first game.
Using this model, a school ranked #12 has what probability of winning their first game? Round
your answer to the nearest percent.
A) 28%
C) 35%
B) 8%
D) 47%

Answers

An serveur

Réponses 30 ou 60 et maintenant

help please i’ll give brainiest

Answers

Answer:  second and fourth choices have infinitely many solutions

Step-by-step explanation:

When you combine the like terms in those two equations you end up with an "identity." Both sides of the equation are the same.

x - 1/3(3x) = 0 . 1/3 of 3x is 1x

x - x = 0  any number minus itself is 0

or add x to both sides  x-x+x = 0 + x  

x = x is an identity. An identity has infinite solutions.

3x + 2 - 1/3(3x) = 2 + 2x

3x + 2 -x = 2 + 2x

2x +2 = 2 + 2x . same thing! Infinite solutions.

what is 35 rounded to the hundreds place​

Answers

Answer:

350

Step-by-step explanation:

Answer:35

Step-by-step explanation:

Solve for brainliest

Answers

The scale factor is 4

2х - Зу = 32
x + 4у = -20


solve the system of equations

Answers

Answer: x=68/11 and y=-72/11


Steps:

2(x+4y=-20)

2x+8y=-40

2x - 3y = 32
- 2x + 8y = -40

-11y=72

y=-72/11


x + 4(-72/11) = -20

x - 288/11 = -20

x=68/11

y = -4× - 5
y = -4× + 5​

Answers

Answer:

No Solution

Step-by-step explanation:

None

What is the question for this?

Compare -1.96312… and - square root of -15

Answers

Negation of square root is never considered a number while rest any number comes under the category of the Real number


The Numbers here are divided into two categories: Real and Imaginary. In addition to being divided into Rational and Irrational numbers. In the category of rational numbers, fractions and integers  fall under the category. The decimal numbers which are unconvertable to the fraction  form are known as irrational numbers. This means that here in the question √-15 = 15i(where i = √-1, the imaginary number)

Hence √-15 is not considered a number while  -1.96312... comes under the category of a Real Number.

Learn more about number system here

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your friend used long division and concluded that the decimal expansion for 1 /6 is 6

Answers

Answer:

6/15 ( by cancelling with table 3 ) 2/5 ( prime factors of 5 is 5 × 1 ) so we can write 2/5 as 2/5 ×2/2 we get 4/10 and the answer is 0.4    hope it is helpful thankyou

Step-by-step explanation:

Other brainly answer

Answer:.

Step-by-step explanation:

.....

Help please I really need it

Answers

Answer:

Its the first one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Look at the figure. If m m J
M
L
Note: This figure is not drawn to scale.

a. 35
b. 90
c. 55
d. 70

Answers

The measure of the angle m∠J is  35°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located.

Consider the triangle KJL,

The line KM is perpendicular to the line JL and M is the midpoint of the line JL.

Therefore, the angle KMJ will be equal to 90°.

Now, we have the angle KJM is equal to 55°.

We know the sum of all interior angles of a triangle is 180°.

So,

In triangle JKM,

∠JKM + ∠KJM + ∠KMJ = 180°

∠JKM + 55° + 90° = 180°

Subtracting 90° from each side of the equation.

∠JKM + 55° + 90° - 90° = 180° - 90°

∠JKM + 55° = 90°

Subtracting 55° from each side of the equation.

∠JKM + 55° - 55° = 90° - 55°

∠JKM = 35°

Learn more about angle here:

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Jackie went to the store and bought 2 1/4 pounds of apples at $5 per pound and 9 pounds of pears at $2.35 per pound. If she paid with a $50 bill, how much change did she receive? Hint* USE THE $ SIGN IN YOUR ANSWER. YOUR ANSWER SHOULD HAVE 2 DECIMAL PLACES.

Answers

Answer:

$17.60

Step-by-step explanation:

Jackie went to the store and bought 2 1/4 pounds of apples at $5 per pound

1 pounds = $5

2 1/4 pounds = x

x = 2 1/4 × $5

x = 9/4 × $5

x = $45/4

x = $11.25

9 pounds of pears at $2.35 per pound.

1 pound = $2.35

9 pounds = x

x = 9 × $2.35

x = $21.15

Total amount that she spent =

$11.25 + $21.15

= $32.40

If she paid with a $50 bill, how much change did she receive?

The change she received =

$50 - $32.40

= $17.60

Do Recommendations Seventh grade > S Solve for d. 3 + 2d = 5​

Answers

D=1 I hope this helps!!

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection Find the number of months after which they 2. will have the same number of CDs.​

Answers

Answer:

They will have the same amount of CDs on the third month

they will both have 33

Step-by-step explanation:

The circumference of a circle is 17π ft. What is the area, in square feet? Express your answer in terms of \piπ.

Answers

The answer for this question is 72.25pi

The area of the circle is 72.25π ft².

What is Surface Area?

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.

As per the given data:

circumference of a circle = 17π ft

To find the area of the square:

Area = πR²

For radius (R):

2πR = 17π

R = (17/2) ft

Area = π(17/2)²

= 72.25π ft²

Hence, the area of the circle is 72.25π ft².

To learn more about surface area, click:

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