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Svetach [21]
2 years ago
5

Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?

Mathematics
1 answer:
Fed [463]2 years ago
7 0
Let's first convert that amount of money into cents, which makes 336 cents. Then, let's denote the amount of money one of the boys has with x. The other boy has got 3x-12 amount of money. We can construct an equation. 3x-12+x=336. Solving it we find that x=87 cents or $ 0.87 and the other boy holds $2.49 amount of money.
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12 a^2 + 60 a - 8
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3 0
3 years ago
In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently
Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Each resident randomly chooses one of the two plumbers.

This means that p = \frac{1}{2} = 0.5

Three residents:

This means that n = 3

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25

25% probability that all three residents will choose the same plumbe

4 0
2 years ago
Garrett is flying from Cincinnati to Memphis on a Boeing 737 jet. When the plane reaches an altitude of 360,000 feet, the temper
kirza4 [7]

QUESTION 1

When the plane reaches an altitude of 360,000 feet, the temperature outside the plane is 65 degrees below zero Fahrenheit.

This means that the temperature will be:

0-65=-65

The temperature is -65°F.

QUESTION 2

If the temperature gets warmer by 10 degrees, this means that the new temperature will be the sum of the original temperature and 10 degrees:

\Rightarrow-65+10=-55

The temperature is -55°F.

5 0
1 year ago
A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound?
worty [1.4K]
The frequency stays the same and the wavelength decreases.
6 0
3 years ago
Read 2 more answers
Sara bought 4 pounds
Roman55 [17]

Answer:

$12.80

Step-by-step explanation:

Sara bought 4 pounds of coffee.

Each pound (lb) costs $3.20

To find the total cost, multiply the cost per pound ($3.20) with the amount of pounds Sara is going to buy (4):

4 x 3.20 = $12.80

$12.80 would be the total cost before tax.

~

3 0
3 years ago
Read 2 more answers
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