Answer:
5
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
∠ YXW = ∠ ZXV ( vertically opposite angles ) , so
4a + 15 = 2a + 65 ( subtract 2a from both sides )
2a + 15 = 65 ( subtract 15 from both sides )
2a = 50 ( divide both sides by 2 )
a = 25
Then
(7)
∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°
(8)
∠ YXW = ∠ ZXV = 115°
∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is
(9)
∠ ZXY = 180° - 115° = 65°
(10)
∠ VXW = ∠ ZXY = 65° ( vertically opposite angles
Answer:
After 3 seconds
Step-by-step explanation:
Given
Required
Time the drop will hit the ground
When the drop hits the ground,
So, we have:
Rewrite as:
Expand
Factorize
Factor out 5t + 1
Split
or 
Solve for t
or 
Time cannot be negative.
So:
STEP 1:
BAGS OF FOUR
find number of bags needed to total 74 apples
= 74 ÷ 4 apples/bag
= 18.5 bags
*must round up to 19 bags because we cannot buy a partial bag
STEP 2:
BAGS OF FOUR
calculate price of 19 bags of 4 apples per bag
= 19 bags * $5/bag
= $95 for 19 bags of 4 apples/bag
STEP 3:
BAGS OF SIX
find number of bags needed to total 74 apples
= 74 ÷ 6 apples per bag
= 12.3333 bags needed
*must round up to 13 bags because we cannot buy a partial bag
STEP 4:
BAGS OF SIX
calculate price of 13 bags of 6 apples per bag
= 13 bags * $7 per bag
= $91 for 13 bags of 6 apples/bag
ANSWER: The smallest cost to buy 74 apples is $91.
Hope this helps! :)
