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3 years ago

Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did they win in total?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

Fiona: Pip

3 1

If fiona gets 30

30/3 = 10

Multiply each side by 10

Fiona: Pip

3*10 1*10

30 10

The total is 30 +10 = 40

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3 years ago

Which equation contains the points (-1,-8) and (3,4)

katrin [286]

Answer:

y = 3x –5

Step-by-step explanation:

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3 years ago

A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

serious [3.7K]

Answer:

The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

$A=A_0e^{rt}\\3000=6000e^{r(3)}$

$0.5=e^{(24.5)r}$

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r$