He will have a 1/531,441 chance of winning next week.
There are 10 balls in each container; for 6 containers, this gives us 10^6 = 1,000,000. There is 1 correct combination of balls, so his chance the first week is 1/1,000,000.
The second week, 1 ball is removed from each container; this will give us 9^6 = 531,441 chances. There is 1 correct combination, so he will have a 1/531,441 chance of winning.
Answer:
the dryer costs $425
Step-by-step explanation:
x = washer
y = dryer
x + y = 803
x = y - 47
using the second equation a substitute in the first equation we get
y - 47 + y = 803
2y = 850
y = $425
FYI
x = y - 47 = 425 - 47 = $378
"31-inch piece of steel is cut into three pieces"
Call the pieces a,b,c
a + b + c = 31
"second piece is twice as long as the first piece"
b = 2a
"third piece is one inch more than seven times the length of the first piece"
c = 1 + 7a
Ok, we have our equations, let's substitute the second and third into the first.
a + 2a + 1 + 7a = 31
10a + 1 = 31
10a = 30
a = 30/10 = 3
b = 2a = 6
c = 1 + 7a = 22
Check: 3 + 6 + 22 = 31, good
Answer: 3 inches, 6 inches, 22 inches
Answer: x = 12
Step-by-step explanation:
1. add 5x + 1x which will equal 6x so now your equation is: 6x + 6 = 78
2. subtract 6 from 78 to get 72: 6x = 72
3. divide 72 by 6x to get your answer 12
Answer:
Madam Gazelle
Step-by-step explanation:
