1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.
2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680
8^14 is the answer.
This is because since they both have the same base, the exponents could be added together if the numbers are multiplied together
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
The absolute value of B is 1 3/5 because although B is in the negatives, absolute value makes it positive.
Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.
Step-by-step explanation:
given data:
20,
40,
60,
80,
100,
120,
140.
solution.
first woman 20 apples
= 2 + 3 * 6¢.
= 20¢.
second woman 40 apples
= 5 + 5 * 3¢.
= 20¢.
third woman 60 apples
= 8 + 4 * 3¢.
= 20¢.
fourth woman 80 apples
= 11 + 3 * 3¢.
= 20¢.
fifth woman 100 apples
= 14 + 2 * 3¢.
= 20¢.
sixth woman 120 apples
= 17 + 1 * 3¢.
= 20¢.
seventh woman 140 apples
= 20 * 1¢.
= 20¢.
