Five years ago, John's age was half of the age he will be in 8 years. How old is he now?

2 answers:

4 0

Answer:
26 year old

Step by step explanation:
Five years ago, John's age was half of the age he will be in 8 years.
this means that (x-5) = (x+8)/2
-----
solving for x, we get:
2 * (x-5) = x + 8
which becomes:
2x - 10 = x + 8
which becomes:
x = 18
-----
john is 18 years old now.
5 years ago john was 13
8 years from now john will be 26
13 = 1/2 * 26

Zarrin [17]2 years ago

4 0

Answer:

Five years ago, John’s age was half of the age he will be in 8 years. How old is he

He is 18

Step-by-step explanation:

Solution:

=x-5 = (x+8)/2

=2[x-5 = (x+8)/2]

=2x-10 = x+8

=2x-x=10+8

=x=18

ANS: x=18

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A racing shell, which is a boat a crew team rows, moves 20 km/h in still water. During practice, the team rows 36 km against the

saveliy_v [14]

Answer:

2 km/h

Step-by-step explanation:

Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.

Since the speed of the still water = 20 km/h.

The speed of rowing against the current = (20 - x)

The speed of rowing with the current = (20 + x)

We know that velocity = distance / time. Hence time = distance / velocity

t₁ = 36 / (20 - x)

t₂ = 22 / (20 + x)

but t₁ + t₂ = 3 hours

Therefore:

3 = 36 / (20 - x) + 22 / (20 + x)

multiply through by 400 - x²

3(400 - x²) = 36(20 + x) + 22(20 - x)

1200 - 3x² = 720 + 36x + 440 - 22x

3x² + 14x -40 = 0

This gives x = -6.7 or x = 2

x cannot be negative therefore x = 2 km/h

The speed of the river current is 2 km/h

4 0

2 years ago

Read 2 more answers

jay beats terry at table tennis 3 out of 5 games. what is the experimental probability that terry will win their next game

lozanna [386]

Answer:

The experimental probability that terry will win their next game is $\frac{2}{5}$

Step-by-step explanation:

While theoretical probability is the ratio of the number of favourable outcomes to the total number of outcomes, the experimental probability is the ratio of number of times the event is occurring to the total number of trials of the experiment.

Out of 5 games jay wins 3

Now the experimental probability that terry will win their next game

= 1 - Probability of Jay winning the game----------------------(1)

Probability of Jay winning the game = $\frac{\text{number of occurrences of the event}}{\text{total number of trials made}}$