Answer:
8989
Step-by-step explanation:
Answer:
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.
Step-by-step explanation:
Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.
So, from the given conditions we can write
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Now, solving equations (1) and (2) we get,
9x + 5(7 - 3x) = 29
⇒ 35 - 6x = 29
⇒ 6x = 6
⇒ x = 1 token.
Now, putting x = 1 in equation (2) we get,
3 + y = 7
⇒ y = 4 tokens.
So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)
Answer:
The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
Step-by-step explanation:
Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:
286 = 6 days and 320 km
320/6 = 53,333 km
286/6 = $ 47,666
Thus, the value of 1 day and 53,333 km is $ 47,666.
605 = 10 days and 900 km
900/10 = 90 km
605/10 = $ 60.5
Thus, the value of 1 day and 90 km is $ 60.5.
90 - 53,333 = 36,666
60.5 - 47.666 = 12.833
12,833 / 36,666 = value per kilometer traveled
0.35 = value per kilometer traveled
(286 - (0.35 x 320)) / 6 = X
(286/112) / 6 = X
174/6 = X
29 = X
(605 - (0.35 x 900)) / 10 = X
(605 - 315) / 10 = X
290/10 = X
29 = X
Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
although none of these are right, C would make the most sense
Answer:
28
Step-by-step explanation:
Question Image is attached.
Triangle BED and Triangle CFD are similar.
We can let the length of BD be 5x and DC 7x
We also know BC = 48, thus we can write:
5x + 7x = 48
12x = 48
x = 4
Now, Since DC = 7x, we plug in x = 4 into it.
DC = 7x
DC = 7(4)
DC = 28
Length of DC is 28