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]
2 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]2 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
-4(6x+3)= -12(x+ 10)
Lilit [14]

Answer:

9

Step-by-step explanation:

-4(6x+3)= -12(x+10)

<u><em>Let's do the first part:</em></u>

-4(6x+3)

<em>**distribute**</em>

-4 x 6x = -24x; -4 x 3 = -12 ->>> -24x - 12

<u><em>Let's do the second part:</em></u>

-12(x+10)

<em>**distribute**</em>

-12 x x = -12x; -12 x 10 = -120 ->>> -12x -120

-24x -12 = -12x - 120

<em>**Move variable to the left-hand side and change its sign**</em>

-24x +12x -12 = -120

-12x - 12 = -120

-12x = 108

x = 108/-12

x=9

3 0
3 years ago
2(x−3)=(x−1)+7
Oksanka [162]

Answer:

x = 12

(getting to the 20 character limit, please ignore this)

6 0
3 years ago
Read 2 more answers
2(m-3)+7&lt;21 PLEASE HELP!!!
Contact [7]

Simplify. Distribute 2 to all terms within the parenthesis

2(m -3) = 2m - 6

Simplify. Combine like terms

2m - 6 + 7 < 21

2m + 1 < 21

Isolate the m. Subtract 1 from both sides

2m + 1 (-1) < 21 (-1)

2m < 20

Isolate the m. Divide 2 from both sides

2m/2 < 20/2

m < 20/2

m < 10

m < 10 is your answer

hope this helps

4 0
3 years ago
The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E
nexus9112 [7]

Answer:

The projected enrollment is \lim_{t \to \infty} E(t)=10,000

Step-by-step explanation:

Consider the provided projected rate.

E'(t) = 12000(t + 9)^{\frac{-3}{2}}

Integrate the above function.

E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt

E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c

2000=-\frac{24000}{3}+c

2000=-8000+c

c=10,000

Therefore, E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

Now we need to find \lim_{t \to \infty} E(t)

\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

\lim_{t \to \infty} E(t)=10,000

Hence, the projected enrollment is \lim_{t \to \infty} E(t)=10,000

8 0
3 years ago
If 9:x = x:4, then x is 6. <br><br> true or false
Sophie [7]
We subsituete

9:6=6:4
treat as fraction
9/6=6/4

9/6=3/3 times 3/2
6/4=2/2 times 3/2

3/2=3/2
this is TRUE
7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help! I need answers in begging !
    7·1 answer
  • Hilda runs 2/3 of a mile in half an hour if she continues to run at a constant rate how many miles will she run in 3 hours
    8·2 answers
  • A shirt is on sale for 40% off. The sale price is $12. What was the original price? What was the amount of the discount?
    7·1 answer
  • Factories fully 72-2y2
    7·1 answer
  • Collaborate triangle
    8·1 answer
  • The price of a television is $700 at two different stores. Each store is offering a different promotion. Which deal is the best?
    5·2 answers
  • PLEASE help me
    6·1 answer
  • Please help me with this and please show me a step by step
    13·1 answer
  • If VW≅VY, WX = s + 69, and XY = 4s, what is the value of s?
    12·1 answer
  • The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!