A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.
(a) Calculate the capacity in liters, of the tank.
(b) If gasoline cost $154 per liter, what is the cost of filling the tank?

Answers

Answer 1

Answer:

$4851

Step-by-step explanation:

rectangular prism volume = length x width x height

1 litre = 1000 cm³

cost = $per litre x litres

v = l x w x h

30cm x 25cm x 42cm = 31500cm³

litres = cm³ / 1000

31500cm³ / 1000 = 31.5 litres

31.5 x $154 = $4851


Related Questions

which expression is equal to 4-6

Answers

-1-1 or 2-4 or 3-5 or 6-8 or 7-9 or 8-10

The functionſ is defined by f(x) = x.
Write down the expression for h (x).

Answers

Answer:

h(x) = |x + 4| - 2

Step-by-step explanation:

Translation of functions:

- 4 on the x-axis ⇒ |x + 4|

- 2 on the y-axis ⇒ -2

Evan made a tower from 32 building blocks. Aisha made a tower using 5 times as many blocks. How many blocks did Aisha use to make her tower?

Answers

Answer:

160

Step-by-step explanation:

32×5 is 60 hope that helps

help me please guys im being times and trying to get this done fast!

Answers

Answer:

C.

Step-by-step explanation:

You're trying to figure out how many more hours he needs to work in order to have worked for 240 hours.

Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4

Answers

Answer:

y=24

Step-by-step explanation:

the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴​

Answers

Answer:

idioet.

Step-by-step explanation:

What is the number ten written in base 2?

Answers

10001 should be the answer if not i’m special

which of the following angle measure combinations will form a triangle?

A. 47° degrees, 63 degrees, and 70 degrees

B. 160 degrees, 50 degrees, and 150 degrees

C. 90 degrees, 1 degrees, and 88 degrees

D. 182 degrees, 1 degrees, and 2 degrees

Answers

The answer is 182 , 1 , 2 degrees

What is the slope of this line?


a.−23

b.−13

c.13

d.23

Answers

Answer:

D

Step-by-step explanation:

I think you meant to put the answers as a fraction

Answer:

if there were slashes in between every answer, the answer would be

D. 2/3

Step-by-step explanation:

m = y2-y1 / x2-x1  (slope formula)   ⋅the two points i used were: (0,-3) and (3,-1)

m = -1-(-3) / 3-0 (plug in the points)

m = -1+3 / 3-0

m = 2/3 (Simplify to get your answer)

t•t•t•t•t•t•t rewrite using exponents

Answers

Answer:

t^7

Step-by-step explanation:

there are 7 ts so it is t to the power of 7

Which shows two triangles that are congruent by AAS

Answers

Answer:

answer A is the correct option.

Step-by-step explanation:

The triangles ( A ) are congruent by AAS theorem

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔABD

Now , AB is the common side of both the triangles

And , measure of ∠ACB = measure of ∠ADB

And , the measure of ∠ABC = measure of ∠ABD = 90°

So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent

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A total of $4000 is invested: part at 10% and the remainder at 15%. How much is invested at each rate if the annual interest is $430?

Answers

3,400 at 10%

600 at 15%

This is the answer.

Solve the equation logx = cosx to five decimal places by Newton Raphson method.​

Answers

Answer:

OK okokokokokokokokokokokok

What is the ratio of 1/2 to 6?
(A) 12
(B) 3
(C)1/3
(D)1/6
(E) 1/12

Answers

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

What is the sign of the product (-5)(-3)(-8)(-6)? (5 points) Positive, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is positive Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive Negative, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is negative Negative, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is negative

Answers

Answer: Choice B

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

=======================================================

Explanation:

Recall we have these rules

positive times positive = positivepositive times negative = negativenegative times negative = positive

Here is one example for each rule

8*7 = 565*(-9) = -45-2*(-4) = 8

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c
boxes of candy. For every box they sell, they make $2.75.
Write an equation that the students could solve to figure out
how many boxes of candy they need to sell.

Answers

500 = 2.75c


500 is your total, 2.75 represents the price of a singular box, and c is how many boxes sold.


Hope this helps!

Answer:

500=2.75c

Step-by-step explanation:

500= 2.75c

Isolate c by dividing 2.75 on each side

500/2.75 =181.818181818 which is about 181.8

So the students need to sell about 181.8 boxes of candy in order to reach their goal of $500.

Solve 2/3 (3x+14)=7x+6 by first multiplying both sides of the equation by 3 before applying the distributive property

Answers

[tex]\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23[/tex]

what is the rate of change for these data?

Answers

Answer:

-2 gallons per minute

Step-by-step explanation:

As we can clearly see, the water is continuously decreasing every 15 minutes by 30 gallons.

So, the rate of change is -30 gallons per 15 minutes

However, we can simplify this ratio by dividing both sides by 15, so we get

-2 gallons per minute

Which of the following describes exponential decay?

A. The amount at a given time can be calculated by multiplying the previous amount
by a value greater than 1.

B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.

C. The amount at a given time can be calculated by adding an amount to the previous amount.

D. The amount at a given time can be calculated by subtracting an amount from the previous amount.

Answers

So it should be A bit look it up just in case

The amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.

What does linear function mean?

A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.

What does exponential function mean?

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

How to solve the question?

In the question, we are asked to identify the option that best describes an exponential decay.

We assess each option and try to identify the exponential decay among them.

A. The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1: This is an exponential function as it is multiplied by the previous amount, but it shows exponential growth as the quantity multiplied is greater than 1.B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1: This is an exponential function as it is multiplied by the previous amount, and it shows exponential decay as the quantity multiplied is less than 1.C. The amount at a given time can be calculated by adding an amount to the previous amount: This is a linear function as a fixed quantity is added.D. The amount at a given time can be calculated by subtracting an amount from the previous amount: This is a linear function as a fixed quantity is subtracted.

Therefore, the amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.

Learn more about exponential functions at

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State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible

Answers

Answer:

  f) Not possible

Step-by-step explanation:

The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.

3 movie tickets cost 36$. at this rate, the cost per ticket is $..

Answers

Answer: The cost per ticket is $12.

Step-by-step explanation:

solve for x . Help me solve them

Answers

[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]

PLEASE HELPPPP. I really need it

Answers

Answer:

Option 4: (0, 5]

Step-by-step explanation:

Given the inequality notation, 0 < x ≤ 5 :

Definitions:open- and closed-parenthesis "(  )"

We know that using the open- and closed-parenthesis, "(  )" are used to express interval notation for which the endpoints are not included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than (>) or greater than (<), as you do not include the endpoints when these inequality symbols are used.

open- and closed-brackets "[     ]"

In contrast, the open- and closed-brackets, "[     ]" are used to express interval notation for which the endpoints are included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than or equal to (), and greater than or equal to ().

Explanation:

In the inequality notation, 0 < x ≤ 5, the endpoints are 0 and 5.  

The inequality symbol between 0 and x is "<," which means that we must use an open parenthesis, " ( " for the endpoint, 0.

While the inequality symbol between x and 5 is "," which means that we must use an closed bracket, " ] " for the endpoint, 5.

Therefore, the correct answer is Option 4: (0, 5].

which expression represents 100 less than 3 times the sum of 18 and 2

Answers

Answer: 3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Step-by-step explanation:

Tracey paid $150 for an item that was originally priced at $510. What percent of the original price did Tracey pay?

Answers

Answer:

29.4118%

Step-by-step explanation

510 * x = 150

x = .2941176

multiply by 100 to get percent

29.4118

Simplify the expression 7h+​(−8.3d​)−13+6d−2.9h.

Answers

Answer:−2.3d+4.1h−13

Step-by-step explanation:

Simplify. Solve as fast as possible.

Answers

Answer:

-5y

Step-by-step explanation:

[tex]\sqrt{y^2}[/tex] = y if x > 0

-5[tex]\sqrt{y^2}[/tex] = -5y

Erin spent half of her weekly allowance at the movies. To earn more money her parents let her wash the car for
$7. What is her weekly allowance if she ended with $12?

Write an equation to represent this situation

Answers

Her allowance is 10 dollars
12-7=5 -> 5*2=10

This year, a small business had a total revenue of $41,600 . If this is 28% more than their total revenue the previous year, what was their total revenue the previous year?

Answers

Answer:

Hey will you marry me? serious question

how much solutions does 2x = 2x + 1 have?

Answers

Answer:

no solution

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

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