Answer:
8 picnic baskets
Step-by-step explanation:
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
The greatest number of picnic baskets we can have is calculated using greatest common factor method
The factors are:
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Then the greatest common factor is 8.
Therefore, the greatest number of picnic baskets you can make is 8 picnic baskets.
Answer:
First one.
-3 is added to the previous term.
Used cans inside = 19
Used cans outside = 88
107-19 = 88
Answer:
2x - 2
Step-by-step explanation:
Here is the completer question
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Solution
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Expanding the brackets, we have
lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx
Collecting like terms. we have
lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x + 2x + 3 - 3)]/Δx
Simplifying, we have
lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx
lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx
Dividing through by Δx, we have
lim as Δx → 0 [2x - 2 + (Δx)]
Inserting Δx = 0, we have
= lim as Δx → 0 (2x -2 + 0)
= 2x -2
So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2