Answer:
x-3y
Step-by-step explanation:
1/5 has to multiply to both 5x and 15y.
1/5 times 5 is 1 and 1/5 times 15 is 3.
Answer: 48
Step-by-step explanation:
We have to write a system of equations:
The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.
y-x =29
If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)
The result will be one
2y-5x =1
Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:
2y -2x = 58
-
2y-5x =1
__________
3x =57
Solve for x:
x =57/3 =19
Replacing the value of x on any equation:
y-x =29
y-19 =29
y = 29+19 = 48
48 (y)> 19(x)
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
The pigeonhole principal states that if n items are put into m containers, with n > m then at least one container must contain more than one item.
In other words, to find the case where maximum attempts are required, we eliminate all the cases where our criterion is not met and we will be left with the desired result.
For this case, the box has 10 black socks and 12 blue socks.
10 black socks = 5 left foot ones and 5 right foot ones
12 blue socks = 6 left foot ones and 6 right foot ones
If we draw all left foot or right foot ones then we will not have a pair till 11 draws have been made.
The next socks drawn will be a right foot one of blue or black color and a pair will be made.
Therefore, the maximum number of socks needed to be drawn from the box are 12.
Answer:
A. 176
Step-by-step explanation: First, to find the surface area to each triangle, you multiply the base times the height by 1/2. It is 28 for each triangle. Multiply that by 4, and you get 112. Then, the surface area of the square on bottom is 64. When added together, you get 176. No rounding needed. Hope it helped and is correct!