Answer:
=82%
Step-by-step explanation:
64:78*100=82%
Let n = number of hikers
y = number of slices of bread per sandwich= 2
x = number of sandwiches for each hiker = 3
T = total number of slices of bread used for "n" hikers
The expression below represents the total number of slices of bread used for "n" hikers:
T = 2 slices *3x sandwiches *n hikers
Answer:
The total payment is thus $35.75 plus $7.11, or $42.86
Step-by-step explanation:
Note that the sales tax doesn't affect the tip. The sales tax is 5% of the cost and the tip is 15% of the before tax cost. We calculate the tax and the tip separately, then add them together and finally add this sum to the cost.
Sales tax: 5% of $35.75: $1.75
Tip: 15% of $35.75: $5.36
Adding these two quantities results in $7.11.
The total payment is thus $35.75 plus $7.11, or $42.86
The extreme of the quadratic ax² +bx +c is found at x = -b/(2a). Your function has
a = 16
b = 20
so it will have an extreme value at t = -20/(2*16) = -20/32 = -5/8.
We assume you intend h(t) = -16t² +20t +2 (with a leading minus sign), in which case the extreme value (maximum height) occurs at t = 5/8. The maximum height is
h(5/8) = (-16*5/8 +20)(5/8) +2 = 50/8 +2 = 33/4 = 8.25
The ball reaches its maximum height after 5/8 = 0.625 seconds.
The ball's maximum height is 8 1/4 = 8.25 feet.
Answer:
y = 1/3x + 10/3
Step-by-step explanation:
→ Write gradient into format
y = 1/3x + c
→ Substitute in (5,5)
5 = 5/3 + c
→ Find c
c = 5 - 5/3 = 10/3
→ Finish off
y = 1/3x + 10/3