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butalik [34]
3 years ago
10

Jay’s father is twice as old as Jay. In 20 years Jay will be two thirds as old as his father. Find the number

Mathematics
2 answers:
LenaWriter [7]3 years ago
6 0

Answer:

the answer is 2

Step-by-step explanation:

oksian1 [2.3K]3 years ago
3 0

Let the age of Jay be x years, so age of Jay's father is 2x years .

After 20 years,

Jay's age will be (x+20)years

And Jay's father age will be (2x+20) years

But at that time, jay's  age will be

\frac{2}{3} (2x+20) years

So we have

x+20 = \frac{2}{3} (2x+20)

Cross multiplication

3(x+20) = 2(2x+20)
\\
3x+60 = 4x + 40
\\
60-40 = 4x-3x
\\
x=20 years

Therefore Jay's age is 20 years and Jay's Father's age is 40 years .


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Two trains leave stations 546 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour
Ira Lisetskai [31]

<u>Answer:</u>

It will take 2 hours 36 minutes for the two trains to meet.

<u>Step-by-step explanation:</u>

The distance between the two trains is decreasing by 95+115= 210miles per hour, which can be written as \frac{210 miles}{1 hour}.

So at this rate, the distance between the trains will be reduced to zero in:

\frac{546 miles}{\frac{210 miles}{1 hour} } = 476 miles * \frac{1 hour}{210 miles}

= \frac{546}{210} = 2.6 hours

Changing 2.6 hours to hours and minutes:

2 hours + 0.6 hours = 2 hours + (0.6 * 60) = 2 hours + 36 minutes

Therefore, it will take 2 hours 36 minutes for the two trains to meet.

6 0
3 years ago
Solve the linear system: x+y=-3;y=2x
Elza [17]

Answer:

I. x + y = -3 --> y = -x - 3

II. y = 2x


2x = -x - 3

3x = - 3

x = -1


y = 2*(-1) = -2

5 0
3 years ago
Brian has 64 flowers for a big party decoration. In addition, he is planning to buy some flower arrangements that have 18 flower
Volgvan

Answer:

The answer is 18x+64 ={the five terms it gives you} <(they might be different for everyone)

Step-by-step explanation:

I had the same question on my quiz and I used process of elimination to get the answer. According to my quiz, I'm assuming that you've had the same four answer choices that I had.

First off, the variable must be on 18, since it says 18 flowers each, which will eliminate two answer choices, another piece of evidence is that X is supposed to represent the numbers of flower arrangements.

Now we are left with two different answer choices, one of which is missing a term. This is a problem since it says that he has enough to have up to five of them. Since one of the answer choices has only four terms, it is safe to say it is incorrect.

Conclusion

This leads the answer to be 18x+64={five terms, not four}

I hope this helps, good luck on the rest of your assignment/quiz! :D

3 0
3 years ago
Which of these transaction types<br><br> DECREASE how much you owe the credit card<br><br> company?
lord [1]

Options:

a. Balance Transfers

b. Cash Advances

c. Payments

d. Interest Charges

Answer:

c. Payments

Step-by-step explanation:

Of all the given options, only (c) Payments decreases amount owed.

(a) Balance transfer means one is taking out cash from the account (i.e. a debit transaction); (b) Cash advances implies a withdrawal transaction from one's account and (c) Interest charges is the amount of interest deducted from an account over a debt for a given period.

As analysed , each of the above transactions increases debts.

However, (c) Payments implies a credit transaction and as such, reduces the amount owed.

6 0
3 years ago
Read 2 more answers
Mr. Clark has a tank that holds 55,000 milliliters of gas. He poured some gas into three containers equally. There were 19,864 m
Temka [501]

Answer:

35,136 ml

Step-by-step explanation:

The tank holds 55,000ml. Mr. Clark poured some gas into 3 container, and at the end there the tank had 19,864. To find how much gas was poured out of the tank it is the same as asking how much gas he poured in the 3 containers, all together. We have to find the difference, subtraction:

55,000 - 19,864 = 35,136ml were poured in the 3 containers or amount of gas poured out of the tank.

3 0
3 years ago
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