The chances of picking an even number (that is not odd) would be 1 out of 3
Step-by-step explanation:
It is given that, a mouse covered a distance of 3/24 miles over a distance of 3 hours. Each hour, the mouse traveled the same distance. Distance traveled in 1 hour can be calculated by dividing 3/24 miles by 3. So,
Matt calculations shows that the distance is 3/8 hours. While dividing 3/24 by 3, he doesn't take reciprocal of 3 as a result he get 9 on numerator and 24 on denominator. Simplified fraction of 9/24 is 3/8. But the correct answer should be 1/24 hours.
Answer:
147
Step-by-step explanation:
654 = 213 + 3x
-213 -213
441 = 3x
/3 /3
147 = x
<span>Dr. Graham currently has two acid solutions.
60% acid AND 20% acid </span>
Dr. Graham needs 30 L of a 50% acid solution
We set up 2 equations in which s = 60% acid and t = 20% acid
A) s + t = 30
B) .60s + .20t = (.50 * 30)
We multiply equation A by -.20
A) = -.20s -.20t = -6 then we add it to B)
B) .60s + .20t = 15
.40s = 9
s = 22.5
t = 7.5
So, she needs to mix 22.5 liters of 60% acid with 7.5 liters of 20% acid.
Source:
http://1728.org/mixture.htm
Answer:
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Step-by-step explanation:
Let x number of $5, y number of $10 and z number of $20
The number of $5 bills exceeds twice the number of $10 bills by 4.
Therefore, x = 2y + 4
The number of $20 bills is 6 fewer than the number of $10 bills.
Therefore, z = y - 6
A wallet contains $460 in $5, $10, and $20 bills.
Therefore,
5x + 10y + 20z = 460
Substitute x and y into equation
5(2y+4) + 10y + 20(y-6) = 460
10y + 20 + 10y + 20y - 120 = 460
40y - 100 = 460
40y = 460 + 100
40y = 560
y = 14
- Put the value of y into x = 2y + 4 and solve for x
x = 2(14) + 4
x = 32
- Put the value of y into z = y - 6 and solve for z
z = 14 - 6
z = 8
Hence, the each type of bills,
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
