Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
(Eq. 1)

From starting point to water station:
(Eq. 2)

The distance between the water station and the ending point is:
(Eq. 3)


Hence, Aidan is 2 miles far from the ending point when he reaches the water station.
Answer:
Both child tickets and senior tickets cost $14.
Step-by-step explanation:
Since the school that DeShawn goes to is selling tickets to the annual dance competition, and on the first day of ticket sales, the school sold 10 senior citizen tickets and 8 child tickets for a total of $ 252, while the school took in $ 280 on the second day by selling 10 senior citizen tickets and 10 child tickets, to determine what is the price of each of one senior citizen ticket and one child ticket, the following calculation must be performed:
10 senior tickets + 8 child tickets = 252
10 senior tickets + 10 child tickets = 280
280 - 252 = 2 child tickets
28 = 2 child tickets
28/2 = 1 child ticket
14 = 1 child ticket
14 x 10 = 140
(280 - 140) / 10 = senior tickets
140/10 = 14 = senior tickets
Therefore, both child tickets and senior tickets cost $14.
Answer:
Answer is below
Step-by-step explanation:
The equation for the horizontal line is x = 4. The equation for the vertical line is y = 5.
I graphed the lines on the graph below to show you that they intersect at the point (4,5).
If these answers are correct, please make me Brainliest!
First, we have two multiply two fractions (7/16 x 4/3) which we do top x top and bottom x bottom which gives us 28/48
Second, we do 28/48 x 1/2 which is 28/96.
Lastly, we simplify 28/96 which gives us 7/24
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