Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
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add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
Answer
A. O.8743874374387438743....
Step by step explanation
Let's take a = O.8743874374387438743....
10a = 8.743874374387438743....
Similiarly,
10000a = 8743.874374387438743....
Since four decimal places are repeating.
Now subtract a from 10000a
10000 a - a = 8743.874374387438743.... - O.8743874374387438743....
9999 a = 8743
a = 8743/9999
8743/9999 = O.8743874374387438743....
That's it.
Hope you will understand the concept.
Thank you.
The null hypothesis is often used as a statement <span>about the population the researcher suspects is true and is trying to find evidence for in formulating a statistical test of significance. In addition to that, it is commonly used when stating that there is no significant difference between subjects.</span>
Answer:
210 miles
Step-by-step explanation:
Let's represent it mathematically.
Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by
B = 65 + ½S
It is also said that together, they drove 500 miles, we represent it with.
B + S = 500
Now, we solve simultaneously.
Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.
2B = 130 + S.
Rearranging, we have
S = 2B - 130.
We substitute this value of S, in the second equation. So we have.
B + (2B - 130) = 500, open the brackets
B + 2B - 130 = 500
3B - 130 = 500, collecting the like terms
3B = 500 + 130
3B = 630
B = 630/3
B = 210 miles.
Therefore, Ben drove 210 miles.
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