The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the speed is 80km/hr, the mass is 220kg and the quantity of fuel is 30litres, when the speed is 60km/hr, the mass is 300kg and the quantity of fuel is 40 litres. Find the volume of fuel if the speed is 100km/hr and the mass 250kg​

Answers

Answer 1

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.


Related Questions

“c.” isnt part of the question fyi
this is for AP Calculus

Answers

Answer:

  -2/3

Step-by-step explanation:

  [tex]\ln{\dfrac{1}{\sqrt[3]{e^2}}}=\ln{e^{-\frac{2}{3}}}=-\dfrac{2}{3}[/tex]

someone help me please

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Answer:

-x^2 + 2x + 1

Step-by-step explanation:

Standard form of a polynomial is Ax^2 + Bx + C. (Highest degree to lowest degree)

-x^2 + 2x + 1.

Sophie plans to repaint some classroom bookcases. All of the bookcases are the same size and each requires 4 over 5 gallons of paint. If she's going to paint 16 bookcases, how many gallons of paint does she need?

Answers

Answer:

12.8 gallons of paint

Step-by-step explanation:

Multiply 16 by [tex]\frac{4}{5}[/tex]

16(4/5) = 12.8

So, she will need 12.8 gallons of paint

What are the differences and similarities between a bar graph and a histogram?

Answers

Answer:

With bar charts, each column represents a group defined by a categorical variable; and with histograms, each column represents a group defined by a continuous, quantitative variable.

Step-by-step explanation:

hope that helps

Can someone please help?

Answers

Answer:

x² - 1

Step-by-step explanation:

When x - 1 = 3 and x + 1 = 5 we know that x = 4 so (x - 1)(x + 1) = 4² - 1 when x = 4, 5² - 1 when x = 5 and so on. If you look carefully you will notice a pattern, the product is always x² - 1 so the answer to the blank is x² - 1.

Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).

Area =

Perimeter =​

Answers

Answer:

76 and 34

Step-by-step explanation:

See attached

As we see this is a polygon with  sides of AB=BC=AE and CD=DE

Sides AB=BC=AE equal to 8Sides CD=DE = [tex]\sqrt{3^2 + 4^2}[/tex] = 5

Area is the sum of areas of a square ABCE with side 8 and a triangle CDE with base of 8 and height of 3:

Area = 8*8 + 1/2*8*3 = 64 + 12 = 76Perimeter = 8*3 + 5*2 = 24 + 10 = 34

To which subset of the real number system does the number LaTeX: 1.\overline{5}
1.
5
¯
belong?

Group of answer choices

whole numbers

irrational numbers

rational numbers

natural numbers

Answers

Answer:

[tex]\frac{1}{2}[/tex] is a rational number

Step-by-step explanation:

Given

[tex]Real\ Number = \frac{1}{5}[/tex]

Required

Determine which set of numbers it belongs to

Analyzing the options one after the other;

1. Whole numbers: 0, 1, 2, 3....

2. Natural numbers: 1, 2, 3, 4... 3.

3. Irrational numbers are numbers that can't be expressed as fractions

The option that answers this question is rational numbers because [tex]\frac{1}{2}[/tex] can be expressed as decimal and fraction interchangeable.

Hence;

[tex]\frac{1}{2}[/tex] is a rational number

Which type of conic section is described by the equation 4x^2 = 10 +y^2? Due in 2 HOURS, will give BRAINLIEST! A. Ellipse B. Circle C. Parabola D. Hyperbola

Answers

Answer:

c

Step-by-step explanation:

Hyperbola is the conic section described by the equation 4x² = 10 +y²

What is Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

To identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,

Ax²+By²+Cx+Dy+E=0

The given equation is 4x² = 10 +y²

4x²-y²=10

Divide the whole equation by 10

4x²/10 - y²/10=1

2x²/5- y²/10=1

x²/(1/2)- y²/10=1

The given equation is in the form of hyperbola.

Hence, hyperbola is the conic section described by the equation 4x² = 10 +y²

To learn more on Conic sections click:

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Bob is buying the soccer team ice cream after their game today. 8 players want ice cream cookies and 5 players want ice cream cones. If ice cream cones cost $1.25 each and ice cream cookies cost $1.75 each, how much will Bob spend on ice cream for the team?

Answers

Answer:

Bob will spend on ice cream for the team $20.25

Step-by-step explanation:

Hello!!!

In this problem we are expected to solve for the total amount that Bob will spend to buy

8 players ice cream cookies  and

5 players ice cream cones

let us calculate as follows

Cost of ice cream cookies for 8 players = 8*1.75=  $14

Cost of ice cone for 5 players = 5*1.25=  $6.25

Total cost =  $14+ $6.25= $20.25

Anbrysoin hatchr brysonhatcher bryon hat5cher bryson hatcher btys]

Step-by-step explanation:

Inverse Function f(x)= 5 -1/3x

Answers

Answer:

f(x)⁻¹ = -3x + 15

Step-by-step explanation:

y = -1/3x + 5

x = -1/3y + 5

x - 5 = -1/3y

(x - 5)(-3) = y

-3x + 15 = y

Please help! (Question in picture)

Answers

The answer is C. You just simplify all of the terms.

I think it is C but i'm not entirely sure sorry if its wrong gotta go

Someone help I’m stuck on this

Answers

Answer: 1 is 2 rectangles, 4 in a triangle and a rhombus I think.

Step-by-step explanation:

It says what would the shapes be shown as if it was split on the line.

calculate the mid points of the line segments below using the midpoint formula given two endpoints (9,7) (-8, 10)​

Answers

Answer: (0.5, 8.5)

Step-by-step explanation: (9+-8/2) is 1/2 and (7 + 10/ 2) is 8.5. After plugging it into the equation, I checked with a graphing site.

Plz plz ans this with explanation

Answers

Answer:

D

Step-by-step explanation:

Least common denominator of 7 and 8 = 56

[tex]\frac{-1}{8}=\frac{-1*7}{8*7}=\frac{-7}{56}\\\\\\\frac{1}{8}=\frac{1*7}{8*7}=\frac{7}{56}\\\\\\\frac{-1}{7}=\frac{-1*8}{7*8}=\frac{-8}{56}\\\\\\\frac{1}{7}=\frac{1*8}{7*8}=\frac{8}{56}[/tex]

-8/56   , -7/56 , 7/56 ,   8/56  ,

-1/7 , -1/8 , 1/8 , 1/7

What is the area of the wreck site?

Answers

Answer:

where is the photo?

Step-by-step explanation:

Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)

which best describes how to solve the equation below 64x = 37

Answers

Answer: Division

Step-by-step explanation: divide both sides by 64

divide it step by step

∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.

Answers

Answer:

∠B = 48°

Step-by-step explanation:

Since ∠A and ∠B are complementary angles their angles sum up to 90°.

In order to find ∠B add both ∠A and ∠B and equate them to 90° and solve for ∠B

That's

∠A + ∠B = 90

42 + ∠B = 90

∠B = 90 - 42

We have the final answer as

∠B = 48°

Hope this helps you

Answer:

∠B = 48°

Step-by-step explanation:

A Complementary angles are total of 90°

If the measure of ∠A is 42°, find the measure of ∠B:

∠A + ∠B = 90°

42° + ∠B = 90°

∠B = 90° - 42°

∠B = 48°

A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) (4 points)

Answers

Greetings from Brasil...

According to the statement, we can conclude that 1 square (of cheese) has 8in²

The area of a square is given by the expression:

A = S²

where S is the side of the square - just what we want to know

So:

A = S²

8 = S²

√8 = S

S ≈ 2.83in

f(x)=4x; g(x)= 4x/9 +9 please help

Answers

Answer:

F  ( 4 (   [tex]\frac{x}{9}[/tex]  ) +9  ) =  [tex]\frac{16x}{9}[/tex] +  36

Step-by-step explanation:

Please helpppp meeee

Answers

Answer:

AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5

Step-by-step explanation:

determine the prime factors of 84 in tree map​

Answers

Step-by-step explanation:

I hope i got it right...

ALGEBRA 1: HELP ME PLEASE 20POINTS

When a value for x is put into the machine, a value for y comes out. That output then becomes the input for another machine. An example is shown at the bottom.
What is the output from the second function machine? Explain.

Answers

Here you go queen/king hope this helps!


Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x - 4)
2-5x = 7x - 12
4(3 - x) = 2(6 - 2x)
5(x + 2) = 2(x-4)
-4(x + 3) = 4(-x-1)

Answers

Hi there! :)

Answer:

Equations 1 and 5.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

We can simply each answer choice to find those which have no solution:

1.  6x + 1 = 3(2x - 4)

6x + 1 = 6x - 12

0 ≠ - 13, NO SOLUTION.

2.  2 - 5x = 7x - 12

14 = 12x

x = 7/6. 1 SOLUTION.

3.  4(3 - x) = 2(6 - 2x)

12 - 4x = 12 - 4x

0 = 0. INFINITE SOLUTIONS.

4.  5(x + 2) = 2(x - 4)

5x + 10 = 2x - 8

3x = -18

x = -6. 1 SOLUTION.

5.  -4(x + 3) = 4(-x - 1)

-4x - 12 = -4x - 4

0 ≠ 8. NO SOLUTIONS.

Therefore, the only equations with no solutions are equations 1 and 5.

Answer:

 x + 1 = 3(2x – 4) and –4(x + 3) = 4(–x – 1).

   Hope this was helpful!

given the expotential function f(x) = 4(3)^x find f(0) and f(1)

Answers

Answer:

4 and 12

Step-by-step explanation:

Given

f(x) = 4[tex](3)^{x}[/tex] , then

f(0) = 4[tex](3)^{0}[/tex] = 4 × 1 = 4 [ [tex]a^{0}[/tex] = 1 ]

f(1) = 4[tex](3)^{1}[/tex] = 4 × 3 = 12

Nicole charges a flat fee of $15 for babysitting plus $7 per hour a) write about equation to find the total payout. b) Evaluate an equation to find the total payout if Nicole babysits for 5 hours.

Answers

Answer:

a) t = 7x + 15

b) Nicole is paid $50 for 5 hours.

Step-by-step explanation:

flat fee = a price that will not change = $15

$7 per hour = a price of $7 for an unknown amount of hours (x) = 7x

Let "x" = amount of hours.

Let "t" = total cost.

Set the equation:

t = 7x + 15

Nicole babysits for 5 hours. Plug in 5 for x in the equation:

t = 7x + 15

t = 7(5) + 15

t = 35 + 15

t = 50

Nicole is paid $50 for 5 hours.

~

Make y the subject of the following: 7(y-3)=4(3-y) no spamming

Answers

Answer:

              y = 3

Step-by-step explanation:

7(y - 3) = 4(3-y)

7y - 21  = 12 - 4y

   +4y        +4y

11y - 21  = 12

   +21       +21

 11y  =  33

  ÷11      ÷11

  y = 3

What is (0.83)4 rounded to the nearest hundredth?​

Answers

Answer:

3

Step-by-step explanation:

You take your car in for repairs. The service station charges $200 for parts plus $50 per hour for labor. What is the equation that models the total cost charged by the service station? y= X+​

Answers

Answer:

y=50x+200 can i get the brainliest?

Step-by-step explanation:

WILL GIVE BRAINLIEST TO THE FORST PERSON WHO ANSWERS THIS!! In the diagram below, lines AB and ED are parallel. Angle < BCD is a right angle and < CBF = 125 Find angle CDE.

Answers

Answer:

35°

Step-by-step explanation:

Produce BC in the direction of C which intersects DE at any point say P.

AB || ED... (given)

So, BP would be transversal.

[tex] \therefore m\angle DPB + m\angle FBP = 180\degree\\... (By\: interior \: \angle \: Postulate) \\

\therefore m\angle DPB + 125\degree = 180\degree\\

\therefore m\angle DPB = 180\degree - 125\degree \\

\huge \red {\boxed {\therefore m\angle DPB = 55\degree}} \\

m\angle DCP = 180\degree - 90\degree \\

m\angle DCP = 90\degree \\

x = 180\degree - (90\degree + 55\degree) \\

x = 180\degree - 145\degree \\

x = 35\degree [/tex]

The value of x or the angle CDE will be 35 degrees.

What is the opposite angle theorem?

The theorem of vertical angles or angles that are vertically opposing According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal to one another.

Given that the angle CBF is 125 degrees. The value of the angle CDE will be calculated as below:-

Calculate angle ABC by using supplement angle property:-

∠ABC = 180 - 125 = 55

Draw a horizontal line PQ at point C.

Angle PCQ = 35

Angle CDE = 35

Therefore, the value of x or the angle CDE will be 35 degrees.

To know more about the opposite angle theorem follow

https://brainly.com/question/9793817

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Simplify the expression 7 - X-(-5x) - 10 + 4x.

Answers

7-x-(-5x)-10+4x
=7-x+5x-10+4x
= -x+5x+4x+7-10
=4x+4x-3
=8x-3

Hope this can help.
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