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
snow_lady [41]
3 years ago
8

a generator needs a fixed amount of fuel to keep it running two hours a day. After running for 6 days, the generators fuel tank

was 2/3 full. After 11 more days, 3 1/2 liters of fuel was left in the tank. If the tank was originally full, how much fuel can the tank hold?
Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
<h3>Answer:</h3>

63 liters

<h3>Explanation:</h3>

The amount of fuel used per day is ...

... (1 tank - 2/3 tank)/(6 days) = (1/3 tank)/(6 days) = (1/18) tank/day

Then the amount of fuel used after 6+11 = 17 days is

... (17 days)×(1/18 tank/day) = 17/18 tank

and the amount remaining is ...

... (1 tank -17/18 tank) = 1/18 tank = 3 1/2 liters

To find the tank size, we can multiply this result by 18:

... 1 tank = 18×(3 1/2 liters) = 63 liters

You might be interested in
Pls help, easy geometry question
Lemur [1.5K]

x^2 + y^2 + 2x - 6y + 1 = 0

x^2 +2x + 1 + y^2 - 6y = 0

x^2 + 2( x × 1) + 1^2 + y^2 - 2(y×3) + 3^2 -3^2 =0

(x+1)^2 + (y-3)^2 = 3^2

comparing with circle equation

(x-a)^2 + (y - b)^2 = r^2

where (a , b) is centre of circle.

so we get center of circle is

(-1, 3)

3 0
3 years ago
Read 2 more answers
The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

5 0
3 years ago
Pls only help if you know the correct answer!!! thanks!!
Zinaida [17]

Answer:

Y=10x

Step-by-step explanation:

I hope this helped you

4 0
3 years ago
Pleasee help me with this anyone..
vlabodo [156]

Answer:

Step-by-step explanation:

You need to set up a proportion

Let x = NK

7/13 = x/56    Notice that the longest side of the small trapezoid is the denominator of the fraction  on the left. That means that the longest side of the large trapezoid must also be the denominator of that fraction on the right.

Cross multiply

13x = 7*56                Combine the right

13x = 392                 Divide by 13

x = 392/13

x = 30.15

NK = 30.15

3 0
2 years ago
Read 2 more answers
HELP PLEASE I WILL GIVE BRAINLIEST AND 35 POINTS!!!!!!!!!!!!!!!!!!!!!!!Which statements are true about the ordered pair (−1, 5)
murzikaleks [220]
The ordered pair (-1,5) is a solution to the system because it makes both equations true.

1) x+y=4
2) x-y=-6

1) -1 + 5 = 4
    5-1 = 4   you can switch the order to make it easier to understand
        so
        4 = 4

2) -1 - 5 = -6
     -1 + -5 = -6 you can change the sign in the middle and make y - 
          so
        -6 = -6
3 0
3 years ago
Read 2 more answers
Other questions:
  • Line QR, line RS and line SQ are midsegments of triangle WXY. The perimeter of WXY is ____ cm.
    5·2 answers
  • Evaluate 5x2−9 when x=−2
    14·1 answer
  • What is the lim of (((1/x)-(1/2))/x-2) , as x approaches 2
    7·1 answer
  • What is the value of x 20 35 60 70
    14·2 answers
  • A baker used the equation y = kx to find how many cupcakes he needs to fill 22 identical boxes. He found that he would need 176
    14·1 answer
  • Two rectangles are similar. One has a length of 14 cm and a width of 9 cm, and the other has a width of 3 cm. Find the length of
    6·1 answer
  • I Just Need Help With Part B HELP!
    15·2 answers
  • V) Find the perimeter of the rectangle whose length is 60m and breadth is 55m
    5·1 answer
  • Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 mor
    8·2 answers
  • A 7-pack of frozen waffles costs 4.76. What is the unit price?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!