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Finger [1]
3 years ago
11

Casey is six times as old as Ralph. In two years, she will be four times as old as Ralph. How old is each of them now?

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Ralph is 3 years old

Casey is 18 years old

Step-by-step explanation:

Let the age of Ralph be x

Then Casey is 6 times as old as Ralph will be 6x

In two years

Ralph =x+2

Casey=6x+2 ⇒ 4(x+2)

Equate the two equations for Casey as

6x+2 = 4x+8

6x-4x=8-2

2x=6

x=6/2= 3

Current age;

Ralph= x= 3 years old

Casey=6x = 6*3= 18 years

Learn More

Forming expressions and solving equations;brainly.com/question/1280754

Keywords :six, times, years

#LearnwithBrainly

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A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 4 hours, there are 9000 bacteria
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Answer:

A) The expression for the number of bacteria is P(t) = 400e^{0.7783t}.

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Step-by-step explanation:

A) Here we have a problem with differential equations. Recall that we can interpret the rate of change of a magnitude as its derivative. So, as the rate change proportionally to the size of the population, we have

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Writing P' as \frac{dP}{dt}, we get

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\ln\frac{90}{4} = 4k, so \frac{1}{4}\ln\frac{90}{4} = k.

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So, after 5.55 hours the population of bacteria will reach 30000.

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