Answer: the answer to this is 9/10
Step-by-step explanation:
Answer:
16 mls of the 75% solution and 20 mls of the 0.57% solution.
Step-by-step explanation:
Set up a system of equations:
Let x = volume of 75% solution and y be volume of 57% solution
0.75x + 0.57y = 36*0.65
0.75x + 0.57y = 23.4.......(1)
x + y = 36.........(2)
From equation (2):
y = 36 - x
Substituting this into equation(1):
0.75x + (0.57(36 - x) = 23.4
0.75x + 20.52 - 0.57x = 23.4
0.18x = 23.40 - 20.52 = 2.88
x = 2.88/0.18
x = 16
so from equation (2): y = 36-16 = 20.
Answer:
4 miles
Step-by-step explanation:
Let
x ----> the time to returned back biking in hours
d ---> the distance in miles
s ---> speed in miles per hour
Remember that
The speed or rate is equal to divide the distance by the time

The distance is equal to multiply the speed by the time

we know that

The distance to his friend's house and the distance of return is the same
so

solve for x

subtract 4x both sides



The total distance of the round trip is

substitute the value of x


A) Basketball and Football
B) Soccer
C) ???
Answer:
2744 pennies.
Step-by-step explanation:
Let x represent the number of pennies Al have initially.
We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be
.
We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be
.
Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be
.
We are also told that Dani received 216 pennies. Now, we will equate 216 to
and solve for x as shown below:
Therefore, Al have 2744 pennies initially.