Answer:
(28.36)
Step-by-step explanation:
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
Answer:
the last option is the correct one
Step-by-step explanation:
Answer:
Alvin traveled 150 miles downstream and 150 miles upstream, for a total distance on the river of 300 miles.
Step-by-step explanation:
Let d represent the distance Alvin traveled in one direction on the river. Then going downstream that distance took ...
... time = distance/speed
... time downstream = d/25
and the time going upstream that same distance to his point of origin took ...
... time upstream = d/15
The total of these times is 16 hours, so we have ...
... 16 = d/25 + d/15
Multiplying by 75 gives ...
... 1200 = 3d +5d = 8d
... 1200/8 = d = 150
Alving spent 6 hours going 150 miles downstream and 10 hours going 150 miles upstream. His total river distance was 300 miles. (We cannot tell which of these numbers will be considered to be the answer to the question.)
Perimeter of a square = 4L
4L = (8x+12)ft
L= (2x+3)ft