Answer:
t = 1.025c + 5.99
Step-by-step explanation:
Recall : general for of a linear equation is given by :
y = mx + c
Given the following :
Item cost = c
Shipping charge = $5.99
Tax on purchases = 2.5%
Total cost, t
t = c + tax + shipping cost
Tax on purchase : 2.5% * item cost ; 0.025c
Shipping = $5.99
Hence,
Total cost, t = c + 0.025c + 5.99
t = 1.025c + 5.99
Answer:
x=1
Step-by-step explanation:
-2x + 4 = 5 - 3x
Add 3x to each side
-2x+3x + 4 = 5 - 3x+3x
x +4 =5
Subtract 4 from each side
x+4-4 =5-4
x =1
![\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=13.5\\ h=90 \end{cases}\implies SA=2\pi (13.5)(90+13.5) \\\\\\ SA=27\pi (103.5)\implies SA=2794.5\pi \implies SA\approx 8779.18](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsurface%20area%20of%20a%20cylinder%7D%5C%5C%5C%5C%20SA%3D2%5Cpi%20r%28h%2Br%29~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D13.5%5C%5C%20h%3D90%20%5Cend%7Bcases%7D%5Cimplies%20SA%3D2%5Cpi%20%2813.5%29%2890%2B13.5%29%20%5C%5C%5C%5C%5C%5C%20SA%3D27%5Cpi%20%28103.5%29%5Cimplies%20SA%3D2794.5%5Cpi%20%5Cimplies%20SA%5Capprox%208779.18)
well, the last part will be with a calculator, but you can simply use the area in π terms.
Answer:
17a) Joanne is not correct because 8+8+8+5=29 cups of punch
17b) it will fit because 29 cups=7.25 quarts and 8 1-quart containers will be more than enough
Step-by-step explanation:
17a) REMEMBER TO COVERT THE QUARTS,GALLONS,and pints to cups
4 pints=8 cups
5 cups=5 cups
1/2 gallon=8 cups
2 quarts=8 cups
add the "cup" measurements together
17b) convert 29 cups into quarts
29 cups=7.25 quarts
7.25<8
