1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inessss [21]
3 years ago
9

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 spee

d 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​
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

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.

You might be interested in
Someone pls help im new tysm if you do!
vovikov84 [41]

Answer:

-24 is your answer<3.....

8 0
2 years ago
Read 2 more answers
How to do this problem <br> 3x-2=6
sergiy2304 [10]

Answer:

x = 2.667

Step-by-step explanation:

so first you wanna isolate the x by adding 2 to both sides

3x - 2 = 6 ---> 3x = 8

then divide both sides by 3 to get the x alone

x = 8/3 = 2.667

7 0
2 years ago
Read 2 more answers
Mary Anne’s parakeet weighs 240g. Her cat weighs 3.1 kg. What is the difference, in grams, of the weights of her pets?
Roman55 [17]

Answer:

Step-by-step explanation:

weights of parakeet = 240 g

Weight of cat = 3.1 kg = 3.1 * 1000 = 3100.0 g = 3100 g

difference = 3100 -240 = 2860 g

5 0
3 years ago
Ellie uses 12.5 pounds of potatoes bto make mashed potatoes. She uses one tenths as many pounds of butter as potatoes how many p
In-s [12.5K]

Answer:

1.25 Pounds were used for butter.

Step-by-step explanation:

6 0
3 years ago
How do you put 0.833 in a fraction​
galben [10]

Answer:

833/1000

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Im confused on this please help
    11·1 answer
  • What is the value of k in the equation 10k-7=7k-15
    7·1 answer
  • Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of
    12·2 answers
  • Which expression is equivalent to...
    12·1 answer
  • Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box
    7·1 answer
  • Need help asap!!!!!!!!!!!
    12·1 answer
  • What do 20-(12+6) equal
    9·1 answer
  • Please help Asap Let f(x) = x^2 and g(x) = 2x.
    5·1 answer
  • 50 POINT GIVEAWAY AND BRAINLEST FOR the FIRST ANSWER
    10·2 answers
  • Find the output value of the function. f(x)=5x-8 for f(7)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!