<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
So first you need your denominators to be the same so you can multiply. They share a common denominator of 24. 2/3 equals 16/24 and 2/8 equals 9/24. So now you need to turn your fractions into mixed numbers and multiply. Which equals 2112/576. That # is way to big so then you simplify and get 11/3. so now you have 5 and 1/6 divided by 11/3. So now just flip the second fraction multiply it by its reciprocal. 31/6 X 3/11=___. So your final answer is 1 and 9/22
Answer:
47 cm.
Step-by-step explanation:
Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.
They get 27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm
find:
Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?
<u>solution:</u>
27, 35, and 32 are each the sum of a different pair of sides of the triangle
Then 27 + 35 + 32 is the sum of all three sides, each counted twice.
Thus, 27 + 35 + 32 = 94 is twice the perimeter
therefore,
the perimeter of the triangle is 94/2 = 47 cm.
Answer:
option C is your right answer
Step-by-step explanation:
have a nice day!!
