Let x= small number
x+17= larger
add them since together they equal 61
x+x+17=61
combine like terms
2x+17=61
2x= 44
divide by 2
x=22 which is the small number
22+17= 39 which is the larger number
hope this helps
What is the ratio<span> of kilometers traveled to the time in hours? (</span>Hint<span>: </span>1 mile<span> ≈ 1.61 km) </span>1<span> LeRoy purchased 6 </span>gallons<span> of </span>gasoline<span> for $19.56. 2 What is the constant of proportionality between the</span>number<span> of pages read and the </span>number<span> of hours spent </span>Round<span> to the </span>nearest tenth<span>, </span>if necessary. (Hint:1 gallon<span> ≈ </span>3.8 liters<span>).</span>
Answer:
3 Gallons
Step-by-step explanation:
If half a gallon of paint covers 1/6 of a wall, then we need 6 1/2 gallons of paint. To make this simpler, we can just say that a gallon of paint can cover 2/6 of the wall. This means that with 2 gallons of paint, we can cover 4/6 of the wall. 3 gallons of paint will cover 6/6 of the wall.
a) The theoretical probability of landing on A or E is 2/5. This is because there are two sections we want to land on (either A or E) out of 5 sections total.
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b) The empirical probability of landing on A or E is 3/10, which was reduced from 6/20. This is because there are 4+2 = 6 times we landed on either A or E out of 20 spins total.
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c) Due to the nature of random events, the theoretical and empirical probabilities will not match up perfectly (basically every random experience will be different for each person). This is especially true for small sample sizes. However, as you do more spins, you should find that the empirical probabilities will slowly approach the theoretical probability. The theoretical probability is always going to be 2/5 for this problem; while the empirical probabilities will bounce around because of the nature of random chance.
Explanation:
This might not be how you are supposed to do it but,
We can see the two triangles are similar because AA similarity.
We know that the sides are proportional so we can make:
We get,
Because sides can't be negative, x = 2/3