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
elena55 [62]
3 years ago
14

Andros has an oil fired heating system. In 30 days period he used a full tank of oil at a constant rate per day . At a different

time of the year the amount of oil andros uses per day is 1/3 of the rate used in 30 days period . How many days should a full tank of oil last at this new rate
Mathematics
1 answer:
Alexandra [31]3 years ago
8 0

Answer:

90 days

Step-by-step explanation:

Let the rate per day for the 30 days period be x

Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate

= 1/3 x

If at a rate of x, the full tank runs for 30 days

at a rate of 1/3 x, the full tank would run for

= x/ (1/3 x) * 30 days

= 3 * 30 days

= 90 days

At the new rate, the full tank of oil will last for 90 days

You might be interested in
The sum of the squares of two consecutive positive even integers is 52.Find the integers
ankoles [38]

Answer:

The two consecutive positive integers are 4 and 6.

Step-by-step explanation:

Let x be an even integer, then the next even integer is (x+2).


The sum of the squares of these even integers is 52.


We can write the following equation and solve for x.


x^2+(x+2)^2=52.

We expand to get,

x^2+x^2+4x+4=52.

We simplify to get,

2x^2+4x+4-52=0.


This gives us,

2x^2+4x-48=0


We divide through by 2 to get,

x^2+2x-24=0.

This is now a quadratic trinomial

We split the middle term to get,


x^2+6x-4x-24=0.


We factor to obtain,

x(x+6)-4(x+6)=0


\Rightarrow (x+6)(x-4)=0


\Rightarrow (x+6)=0 or (x-4)=0


\Rightarrow x=-6 or x=4


We discard x=-6 since it is not a positive integer.

\therefore x=4


Hence the two consecutive positive even integers are,

4

and

4+2=6








5 0
4 years ago
Read 2 more answers
How many different 11-letter arrangements can be made using the letters in the word Firecracker?
zhenek [66]

Answer:

Total number of arrangements = 1,663,200

Step-by-step explanation:

Given:

11 - letter

FIRECRACKER

F = 1

I = 1

R = 3

E = 2

C = 2

A =1

K = 1

Find:

Total number of arrangements = ?

Computation:

Note: Repeated letter will be avoid.

Number\ of\  arrangements = \frac{!11}{!3 \times !2 \times !2}\\\\Number\ of\  arrangements = \frac{!11}{!3 \times !2 \times !2} \\\\Number\ of\  arrangements = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3}{3 \times 2 \times 2 } \\\\Number\ of\  arrangements = 1,663,200

Total number of arrangements = 1,663,200

6 0
4 years ago
A teacher gave a benchmark test to see how well her students were prepared for an
WARRIOR [948]

Answer:

rcfnjcndcndc

Step-by-step explanation:

d

6 0
3 years ago
(10-i)-(12+6i)<br> .............
sergeinik [125]

Answer:

-2 - 7 i

Srry If Im wrng but Hope this helped :)

5 0
3 years ago
Read 2 more answers
We will find the solution to the following lhcc recurrence: an=8an−1−16an−2 for n≥2 with initial conditions a0=4,a1=7. The first
bagirrra123 [75]

Answer:

idk try to figure it pouy

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A recipe uses 3 cups of flour and 2 cups of sugar. Write the ratio of flour to sugar as a fraction, then find the unit rate.
    7·2 answers
  • From a deck of 52 cards, two cards are radomly drawn without replacement. Which expression represents the probability of drawing
    14·1 answer
  • What is the measurement of &lt;1?
    13·2 answers
  • If the measure of a central angle is 76°, then what is the measure of the arc it creates?
    13·1 answer
  • Is 6/3 equal to 2 whole?
    9·2 answers
  • The point (-7,1) when reflected across the origin maps onto
    14·1 answer
  • Through (10, -7), slope: how do i solve this
    10·1 answer
  • N•6 as a verbal expression
    8·1 answer
  • What is the answer to this?!!!
    10·1 answer
  • Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!