<em><u>The system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
<em><u>Solution:</u></em>
Let q be the number of hours it took Courtney to walk from her house to the beach
Let p be the number of hours it took her to walk from the beach to the park
<em><u>The entire walk took 2 hours</u></em>
Therefore,
q + p = 2 ------- eqn 1
<em><u>The total distance Courtney walked was 8 kilometers</u></em>
Total distance = 8 km
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour
Then walked from the beach to the park at a constant speed of 5 kilometers per hour
<em><u>Distance is given as:</u></em>

<em><u>From her house to the beach:</u></em>

<em><u>From the beach to the park:</u></em>

We know that,
Total distance = 8 km
Therefore,
4q + 5p = 8 ------ eqn 2
<em><u>Thus the system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
This is the concept algebra.
Volume of of paint that is required to paint large shipping crate is a liters.
suppose the volume of this crate is x cubic units.
The volume of the next crate to be painted will be 2x cubic units.
Hence the amount of paint required to paint the crate will be:
(volume of bigger crate)/(volume of smaller crate)×(volume of liters required to paint the first crate)
=(2x)/(x)×a
=2a liters
To paint the new crate 2a liters of oil is needed.
Answer:
£6655
Step-by-step explanation:
Given data
Principal= £5000
Rate= 10%
Time = 3 years
FInal Amount A=???
The expression for the compound interest is given as
A=P(1+r)^t
substitute
A=5000(1+0.1)^3
A=5000(1.1)^3
A=5000*1.331
A= £6655
Hence the final Amount is £6655
Answer:
53.3 rotations
Step-by-step explanation:
135/180=x/40
solve by cross multiply
0.2:1
I divided 3 by 15 and got 0.2 and then divided 15 by 15 to get one