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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

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What is the answer please?
Marina CMI [18]

Answer:

The one you are on, f(x+2)+4

Step-by-step explanation:

First, we can see by the 0 point that it is just moved up by 4 and not left or right any, so we want to see how it has changed without the +4.  


in g(x) the x changes by two, 0 to 2, and the y changes by one, 4 to 5.


Hopefully you can tell what the function being manipulated is.  It is x^3  so if we write that instead of f(x) in the answers the first one for instance would be (x/3)^3-4.  (let me know if that doesn't make sense)


SInce we already know it's being moved up by 4, we know it's one of those with +4 at the end.  It's easy enough to guess and check, but the process to find the answer is pretty easy.  We also know that at 2, the change is 1.  So without the +4 at the end, what would let us change 8 to 1?  dividing it by 8, which is also 2^3.  so that means (2/2)^3.  So the answer is we want f(x/2) witht he +4 at the end.  


Hopefully that made sense, I'd be happy to explain further if you need though

8 0
3 years ago
Sarah is researching the connection between the time students spend watching television and their performance in school. Her stu
lubasha [3.4K]

Her studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5

In equation form

15 = k(1/3.5)

Solve for k

K = 15 * 3.5

<span>K = 52.5 is the constant of variation</span>

6 0
3 years ago
Read 2 more answers
PLS HELP WHAT ARE THESE TWO ILL GIVE BRAINLESS AND SHOW UR WORK
Hitman42 [59]

Answer:

2) C

3) 62 degrees

Step-by-step explanation:

72+46=118

180-118

Hope this helps

3 0
2 years ago
Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand
SOVA2 [1]

Answer:

<u>Question 1:</u>

<u>(a) </u>P(x<60) = 0.9236

<u>(b) </u>P(x>16) = 0.9564

<u>(c) </u>P(16<x<60) = 0.88

<u>(d) </u>P (x>60) = 0.0764

<u />

<u>Question 2:</u>

<u>(a) </u>P(x<3) = 0.0668

<u>(b) </u>P(x>7) = 0.0062

<u>(c) </u>P(3<x<7) = 0.927

<u />

Step-by-step explanation:

<u>Question 1:</u>

x = no. of mg of porphyrin per deciliter of blood.

μ = 40

σ = 14

(a) We need to compute P(x<60). We need to find the z-score using the normal distribution formula:

z = (x - μ)/σ

P(x<60) = P((x - μ)/σ < (60 - 40)/14)

             = P(z < 20/14)

             = P(z<1.43)

Using the normal distribution probability table we can find the value of p at z=1.43.

P(z<1.43) = 0.9236

so, P(x<60) = 0.9236

(b) P(x>16) = P(z>(16-40)/14)

                 = P(z>-1.71)

                 = 1 - P(z<-1.71)

                 = 1 - 0.0436

    P(x>16) = 0.9564

(c) P(16<x<60) = P((16-40)/14) < x < (60-40)/14)

                        = P(-1.71 < z < 1.43)

This probability can be calculated as: P(z<1.43) - P(z<-1.71)

                                         P(16<x<60) = 0.9236 - 0.0436

                                         P(16<x<60) = 0.88

(d) P(x>60) = 1 - P(x<60)

     we have calculated P(x<60) in part (a) so,

    P(x>60) = 1 - 0.9236

    P (x>60) = 0.0764

<u>Question 2:</u>                              

μ = 4.5 mm

σ = 1.0 mm

In this question, we will again compute the z-scores and then find the probability from the normal distribution table.

(a) P(x<3) = P(z<(3-4.5)/1)

                = P(z<-1.5)

     P(x<3) = 0.0668

(b) P(x>7) = 1 - P(x<7)

               = 1 - P(z<(7-4.5)/1)

               = 1 - P(z<2.5)

               = 1 - 0.9938

    P(x>7) = 0.0062

(c) P(3<x<7) = P(x<7) - P(x<3)

  we have computed both of these probabilities in parts (a) and (b) so,

    P(3<x<7) = 0.9938 - 0.0668

    P(3<x<7) = 0.927

6 0
3 years ago
The population of city is 2500 if the number of males is 240 more than females how many males and females are there in the city?
Blizzard [7]
There are 1130 females. There are 1370 males. What I did was take 2500 and subtracted 240 from it. I got 2260 and then divided that number by 2 and got the number of females. Then I took that number and added 240 to it and got the number of males.
5 0
3 years ago
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