Answer:
The proportion that can be used to find x is;
(200-x)/x = 7/6
Step-by-step explanation:
Now, we want to find the proportion which can be used to find x.
From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;
this means that the ratio of their speed is 7:6
Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.
Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;
Hence;
(200-x)/x = 7/6 or x/(200-x) = 6/7
Answer:I don’t understand the question
Step-by-step explanation:
Answer:
0.91 because 8/10 as a decimal is 0.8
Step-by-step explanation:
so 0.91 is bigger than 0.8
389 children and 224 adults were at the pool that day.
Step-by-step explanation:
Cost of one child ticket = $1.75
Cost of one adult ticket = $2.25
Total people = 613
Total receipts worth = $1184.75
Let,
Number of children = x
Number of adults = y
According to given statement;
x+y=613 Eqn 1
1.75x+2.25y=1184.75 Eqn 2
Multiplying Eqn 1 by 1.75
![1.75(x+y=613)\\1.75x+1.75y=1072.75\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=1.75%28x%2By%3D613%29%5C%5C1.75x%2B1.75y%3D1072.75%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2
![(1.75x+2.25y)-(1.75x+1.75y)=1184.75-1072.75\\1.75x+2.25y-1.75x-1.75y=112.00\\0.50y=112.00](https://tex.z-dn.net/?f=%281.75x%2B2.25y%29-%281.75x%2B1.75y%29%3D1184.75-1072.75%5C%5C1.75x%2B2.25y-1.75x-1.75y%3D112.00%5C%5C0.50y%3D112.00)
Dividing both sides by 0.50
![\frac{0.50y}{0.50}=\frac{112.00}{0.50}\\y=224](https://tex.z-dn.net/?f=%5Cfrac%7B0.50y%7D%7B0.50%7D%3D%5Cfrac%7B112.00%7D%7B0.50%7D%5C%5Cy%3D224)
Putting y=224 in Eqn 1
![x+224=613\\x=613-224\\x=389\\](https://tex.z-dn.net/?f=x%2B224%3D613%5C%5Cx%3D613-224%5C%5Cx%3D389%5C%5C)
389 children and 224 adults were at the pool that day.
Keywords: linear equation, subtraction
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Answer:
Step-by-step explanation: