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Advocard [28]
3 years ago
13

The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the n

umber of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
Mathematics
1 answer:
olga55 [171]2 years ago
8 0

Answer:

The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.

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Solving Quadratic Equations using the Square Root Property
Afina-wow [57]

Answer:

x = -2   or   x = -5

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

x^2 + 7x + 10 = 0

Subtract 10 from both sides.

x^2 + 7x = -10

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = \dfrac{9}{4}

Now we use the square root property, if

x^2 = k, then

x = \pm \sqrt{k}

x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}

x + \dfrac{7}{2} = \pm \dfrac{3}{2}

x + \dfrac{7}{2} = \dfrac{3}{2}   or   x + \dfrac{7}{2} = -\dfrac{3}{2}

x = -\dfrac{4}{2}   or   x = -\dfrac{10}{2}

x = -2   or   x = -5

5 0
3 years ago
Helpp this is my final
aivan3 [116]

Answer: 6.

Step-by-step explanation:

4^2 = 16

10 − 16 + 6 * 2

6 * 2 = 12

10 − 16 + 12

10 - 16 = -6

-6 + 12 = 6

3 0
2 years ago
Find the volume of the right triangular prism shown:
LekaFEV [45]

Answer:

960cm³

Step-by-step explanation:

Find the base of the triangle (use phytagoras theorem)

c²= a²+b²

20²= 16²+b²

400=256+b²

b²=400-256

b²= 144

b=

\sqrt{144}

base= 12

Volume: (1/2×b×h)×l

= (1/2×12×16)×10

=(6×16)×10

=96×10

=960cm³

7 0
2 years ago
What equation do you get when you solve 3x-4y=24 for y
erica [24]
Hi there!

You get 3(x-8) all over 4.

Hope this helps !

5 0
2 years ago
You read 4 1/2 pages in 12 minutes. at the same rate, how many pages could you read in an hour?​
nignag [31]

Answer:

22.5 pages

Step-by-step explanation:

First divide the page number by the minutes it takes to read them to find pages per minute-

4.5 / 12 = .375

Then take that number and multiply it by the minutes in an hour-

(.375) (60) = 22.5

22.5 pages in one hour.

5 0
3 years ago
Read 2 more answers
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