MATHEMATICS MIDDLE SCHOOL

Daren is 3 years older than Tom. 3 years ago Leah will be 14 less than 3 times Darren's age. 5 years ago, Leah was 2 years less than 2 times Tom. How old will Leah be 4 years from now?

Answers

Answer 1

Answer:

answer

set up equations

daren is 3 years older than tom

D = 3 + T

3 years ago leah will be 14 less than 3 times darren's age

L - 3 = 3(D - 3) - 14

L - 3 = 3D - 9 - 14

L = 3D - 9 - 14 + 3

L = 3D - 20

5 years ago, leah was 2 years less than 2 times tom

L - 5 = 2(T - 5) - 2

L - 5 = 2T - 10 -2

L = 2T - 10 - 2 + 5

L = 2T - 7

find leah's current age

set L = 3D - 20 and L = 2T - 7 equal to each other

3D - 20 = 2T - 7

plug 3 + T into D using the equation D = 3 + T

3D - 20 = 2T - 7

3(3 + T) - 20 = 2T - 7

9 + 3T - 20 = 2T - 7

T = - 7 - 9 + 20

T = 4

plug T back into L = 2T - 7 to find leah's current age

L = 2T - 7

L = 2 * 4 - 7

L = 8 - 7

L = 1

leah's age 4 years from now

add 4 to leah's current age

1 + 4 = 5

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Pls mark brainliest

Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to the park at a constant speed of 15 kilometers per hour. The total duration of the rides was 1 hour and the distance she rode in each direction are equal. Let b be the number of hours it took Elia to ride from her house to the beach, and put p the number of hours it took her to ride from the beach to the park.

Answers

Answer:

$\displaystyle b=0.45\ h$

$\displaystyle p=0.55\ h$

Step-by-step explanation:

Cinematics

When an object moves at a constant speed, it can be computed as

$\displaystyle v=(x)/(t)$

Where x is the distance traveled and t the time needed to complete it at the constant speed v

If we wanted to compute t from the equation above, then

$\displaystyle t=(x)/(v)$

Elia rode her bicycle from her house to the beach at 18 km/h and then from the beach to the park at 15 km/h, taking 1 hour in the whole travel, each distance being equal. If we call b as the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park, then we can compute

$\displaystyle b=(x)/(18)$