Answer:
They rode 14 miles before replacing each horse
Step-by-step explanation:
We will be working under the assumption that all three riders sat on one horse at a time and rode it while the other horses rested.
From the problem, we can understand that the horses were each ridden for the same distance. This means that to get the total distance a horse rode before it was changed, we can divide the total distance by the number of horses that were used for the journey.
Distance each horse rode = 182/ 13 = 14 miles.
Therefore, each horse was ridden for 14 miles before it was changed.
Answer:
This is a direct variation where the constant of variation is 5/9
Step-by-step explanation:
The equation for direct variation is y = kx
5x-9y =0
Lets try to get this equation in the above form
Add 9y to each side
5x-9y +9y = 9y
5x = 9y
Divide each side by 9
5/9 x = 9y/9
5/9x = y
This is in the form y = k x where k =5/9
2y=10x-14
5x-y=7
Divide both sides by 2 in the 1st equation
y=5x-7
Now substitute is to 2nd equation
5x-5x+7=7
0=0
Therefore there is no solution or it is inconsistent
<u>Answer:</u>
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.
<u>Solution:</u>
Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.
Hence, by above definition, we get
------- eqn 1
From question, for a chain with 65 paper clips has a length of 97.5 inches, we get
Similarly, for a chain with 14 paper clips with length to be found, we get
Now by using eqn 1, we can calculate the length of 14 paper clips is,
Rearranging the terms we get,
Hence the length of chain with 14 paper clips is 21 inches.
Answer:
m=5
Step-by-step explanation:
5m-3=22
- take 3 the other side by doing the opposite operation
5m= 22+3
5m= 25
- then divide it by 5 on both sides to get the value of m.
- 5m÷5=25÷5
- 5and 5 cancels out and the answer becomes :
m=5
