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2 years ago

Krutika and Natasha win some money and share it in the ratio 1:2. Krutika gets £8. How much did they win in total?

Mathematics

1 answer:

Inessa [10]2 years ago

6 0

Answer:£24

Step-by-step explanation:

Let the total money be represented by Y

Total ratio =1+2=3

Krutika's share =1/3 × Y

8= 1/3×Y

Y=8÷(1/3)

Y= 8×3

Y=£24

The total Money they won was 24

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A wind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. The air then exits

marta [7]

Answer:

Power generated = 4.315 kW

Step-by-step explanation:

Given,

speed of wind when enters into the turbine, V = 12 m/s

speed of wind when exits from the turbine, U = 9 m/s

mass flow rate of the wind, m = 137 kg/s

According to the law of conservation of energy

Energy generated = change in kinetic energy

Since, the air is exiting at same elevation. So, we will consider only kinetic energy.

Energy generated in one second will be given by,

$E\ =\ \dfrac{1}{2}.mV^2-\dfrac{1}{2}.m.U^2$

$=\ \dfrac{1}{2}\times 137\times (12)^2-\dfrac{1}{2}\times 137\times (9)^2$

=4315.5 J

= 4.315 kJ

So, energy is generated in one second = 4.315 kJ

Power generated can be given by,

$P\ =\ \dfrac{\textrm{energy generated}}{time}$

And the energy is generated is already in per second so power generated will be 4.315 kW.

8 0

3 years ago

If 3,x,y,18 are in arithmetric progression , find the value of x and y

Ksivusya [100]

Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18

Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term

First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5

Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8

y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13

The value of x is 8, the value of y is 13

6 0

3 years ago

Write a two-step equation and solve.

finlep [7]

Step-by-step explanation:

1) let number=a

six times a number=6a

Condition:

6a+4=22

2) eleven times a number=11a

Condition:

11a-5=50

3) 9 times a number=9a

Condition:

9a-7=-16

Note:if you need to ask any question please let me know.

3 0

2 years ago

You bike for 7 miles and ran for 3 1/2 miles. What is the unit rate of miles biked to miles run?

ExtremeBDS [4]

I think you mean: what is the ratio of biking to running, if this is the case it is 2:1.

I hope this helps you.

4 0

3 years ago

8=1/3(a+5) plz find A plz

padilas [110]

Answer:

18.99 or 19 when rounded

Step-by-step explanation:

$8 = \frac{1}{3} (a + 5) \\ 8 = \frac{1a}{3} + 1.67 \\ 3 \times 8 = \frac{1a}{3} + 1.67 \times 3 \\ 24 = a + 5.01 \\ 24 - 5.01 = a + 5.01 - 5.01 \\ 18.99 = a$

Therefore a = 18.99

5 0

2 years ago