Mathematics High School

A car requires 45 liters of petrol to travel a distance of 330 km.

1) the distance that the car can travel on 85 liters of petrol

2) the amount of petrol that the car owner has to pay to travel a distance of 990km if a liter of petrol costs $ 2.25.

Answers

Answer 1

Answer:

1) The car can travel 623.3 km with 85 liters of petrol.

2) The car owner has to pay $303.8.

Step-by-step explanation:

1) The distance traveled with 85 L of petrol can be found as follows:

[tex] d = \frac{330 km}{45 L}*85 L = 623.3 km [/tex]

Hence, the car can travel around 623 km with 85 liters of petrol.

2) If the liter of petrol costs $2.25, then the amount of petrol that the car owner has to pay to travel a distance of 990 km is:

[tex]x = \frac{\$ 2.25}{1 L}*\frac{45 L}{330 km}*990 km = \$ 303.8[/tex]

Therefore, the car owner has to pay $303.8.

I hope it helps you!                      

Related Questions

a square was altered so that one side is increased by 9 inches and the other side is decreased by 2 inches. the area of the resulting rectangle is 60 square inches. What was the are f the original square.

Answers

Answer:

36 square inches.

Step-by-step explanation:

Since the original figure was a square, all four side lengths are equivalent. The area for the square will be:

[tex]A=s^2[/tex]

Where s is the length of one side.

One side is increased by nine inches and the other side was decreased by two inches. The area of the resulting rectangle is 60 square inches.

So, one of the new sides is (s + 9).

And the other is (s - 2).

The area with these dimensions is 60. Thus:

[tex]60=(s-2)(s+9)[/tex]

Solve for s. Distribute:

[tex]60=s^2+7s-18[/tex]

Isolate the variables:

[tex]s^2+7s-78=0[/tex]

Factor:

[tex](s+13)(s-6)=0[/tex]

Zero Product Property:

[tex]s+13=0\text{ or } s-6=0[/tex]

Solve for each case:

[tex]s=-13\text{ or } s=6[/tex]

A side length cannot be negative. So, our only solution is:

[tex]s=6\text{ inches}[/tex]

Since each side of the square measures six inches, the area of the original square will be 36 square inches.

A scale on a blue print drawing of a house shows that 10 centimetres represents 22 meters.
What number of actual meters are represented by 18 centimetres on the blue print?

Answers

Answer:

39.6

Step-by-step explanation:

if

10=22

18=x

18x22=396/10= 39.6

Pls answer this question for ill give brainliest
Quadrilateral ABCD ​ is a rectangle. BE=2x+1 and AC=6x−12 . What is BE ?

Answers

Answer:

BE=15

Step-by-step explanation:

Since E is the center, BE=2x+1

And AC is 6x-12 with E being a midpoint.

Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that

you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE

6x-12=4x+2

BD=AC

6x-4x-12=2

2x=2+12

2x=14

x=7

BE= 2x+1

2(7)=14+1=15

3x 2+ 4x - 20
using grouping or an area model.

Answers

Answer:

Is the 3x a power of 2, once I get that info I'll edit my answer

Step-by-step explanation:

i need to factor 5n^2-16

Answers

Answer:

([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Step-by-step explanation:

Using the factorising method, difference of 2 squares

a² - b² = (a - b)(a + b) , then

5n² - 16

= ([tex]\sqrt{5}[/tex] n )² - 4²

= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)


The table above represents what type of function?
A. neither linear nor nonlinear
B. nonlinear
C. linear and nonlinear
D. linear

Answers

Answer:linear

Step-by-step explanation:

When plotting the dots a line is seen

2v+7=3 what do v eqaul

Answers

Answer:

v= -2

Step-by-step explanation:

subtract 7 from both sides and then divide by 2

Solve the inequality -8 - 1/3n < -25

Answers

Isolate the variable:

Add -8 on both sides then you’ll have

- 1/3n < -17

Divide -1/3 on both sides or multiply -3 on both sides:

n < 51

Help bestiess
7x=5x÷67​

Answers

Answer:

7x=5x/67

Step-by-step explanation:

I need help ASAP !!!!!!!!!!

Answers

Answer:

the first one

Step-by-step explanation:

-.8x + 4.8y + 16

hope this helps

3y+6-y please help me with algebra it's hard

Answers

Answer:

2y+6

Step-by-step explanation:

3y-y = 2y

So therefore...

2y+6

2y+6

explanation:
combine like terms, you’d get 9y if it wasn’t negative,

Write these numbers in order of size.
Start with the smallest number.
9
-3
2.
-2
Smallest

Answers

Answer:

smallest -3,-2,2,9 biggest

Answer:

-3, -2, 2, 9

Step-by-step explanation:

-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9

I need help on this plz thx

Answers

Answer:q=3

Step-by-step explanation:

14 multiplied by 3 equals 42

Answer: q = 3

Step-by-step explanation:

14q/14 = 1q

42/14 = 3

1q = 3

q = 3

Find the area of the shaded region. Round your answer to the nearest tenth if needed.

Answers

Area of rectangle is A1
A1=l•w
A1=3.5 • 2.4
A1=8.4 m^2

Area of triangle is A2
d=2.4
r=d/2
r=2.4/2=1.2 m
A2= π•r^2
A2=3.14 • (1.2)^2
A2=3.14 • 1.44
A2=4.5216 m^2

Area of shaded region A=A1+A2
A=8.4+4.5216
A=12.9216
A~12.9 m^2

find the volume of the cylinder​

Answers

Answer:

hope help you stay happy and safe

HELP!
If the radius of the large pizza is 8 inches, what is its area in square inches?

Answers

Answer:

about 200 square inches

The sides LM, MN, and LN of LMN have lengths of 3, 4, and 5 respectively. Which triangle is congruent to LMN (edge)

Answers

Answer:

Its the third one

Step-by-step explanation:

i got it right of edg

find the system determinant of the given matrix.

FAST please.

Answers

Answer:

the answer is -30

Step-by-step explanation:

| 2 4 |

| 3 -9| = ( 2 * (-9) ) - ( 4 * 3)

= - 18 - 12

= -30

If the hotdog stand wants to make a profit of about $200 to pay their bills, how much do they need to charge per hotdog?

Answers

Answer:

it doesn't show how much they sold for it to be $200

Pls Help Me With This Question! It's 8th Grade Math!

Answers

Answer:

y= 4/3x

Step-by-step explanation:

Answer:

y= 4/3x

Step-by-step explanation:

please help!! whoever gets right i’ll mark brainlist

Answers

Answer:

It's B

Step-by-step explanation:

Because 10 less than 20 mean 20 is not greater so B. ) is correct

I need help again I’m pretty stuck

Answers

Answer:

1: 45

3: 45

4: 135

5: 103

6: 77

8: 77

9: 135

10: 45

11: 135

12: 45

13: 77

14: 103

15: 77

16: 103

Step-by-step explanation:

- If you can answer this calculus thing, you are the Brainliest -

The function f(x) has values as given in the table below.

A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.

Find Limit of f (x) as x approaches 2 f(x), if it exists.

2
0.3
0
DNE

*The clock is ticking*

Answers

Answer:

D

Step-by-step explanation:

Edge

Answer:

d

Step-by-step explanation:

plEASE HELP ME plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

24 people were in the sample !

Using the information below, write a variable expression for the following:
Brian is x years old.
Brandon is twice as old as Brian.
Billy is 2 years older than Brandon.

Answers

Answer:

Step-by-step explanation:

b₁ = x

b₂ = 2b₁

b₃  = b₂+2

if 6x+4=20-2x, then 8x=?

Answers

Answer:

8x = 16    x=2

Step-by-step explanation:

Answer: Simplifying

8x = 0

Solving

8x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '8'.

x = 0

Simplifying

x = 0

Step-by-step explanation:

Which Superhero has the greater miles to second ratio
------------------------------------------------------------------------------------------
Choices are:
------------------------------------------------------------------------------------------
A) Super-Man
B) Iron-man
C)Neither they are both equivalent
------------------------------------------------------------------------------------------

Answers

Answer:

Super Man

Have a great day!

How many kilograms are in 1 1/2 pounds?

(I keep getting mixed answers)

Answers

Answer:

About 0.680389 kg

Step-by-step explanation:

Answer:

There is 0.680389 kilograms in 1 1/2 pounds.

what's the value of given expression

[tex] \sqrt{ {20 + 5}^{2} } [/tex]
​

Answers

Step-by-step explanation:

√(20+5²)=√{20+25}=√45=3√5

sovle the equation x^2 + 2x^2 = 6^2

Answers

Answer:

3.46 = x

Step-by-step explanation:

6^2= 36

3.46^2 + 2(3.46)^2=36

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