Answer:
Rina will need 6 tickets.
Explanation:
Rina needs only 1 ticket to ride the ferris wheel once, and 1 ticket to ride the bumper cars once. If she wants to ride the ferris wheel 5 times, then she'll need 5 tickets since 1 x 5 = 5. If she wants to ride the bumper cars only once, she'll only need 1 ticket since 1 x 1 = 1.
Add the answers together, and you get 6 tickets since 5 + 1 = 6.
Hope this helps! :)
Answer: the percent value-added time for this ride is 16.67%
Step-by-step explanation:
Given that;
Waiting time for Vera = 35 minutes
Length of Vera's ride = 7 minutes
total processed time will; ( 35 + 7 ) = 42 minutes
the percent value-added time for this ride = ?
so
Percentage value-added time of Vera will be
= (length of the ride / total process time) × 100
we substitute
⇒ (7 / 42) × 100
⇒ 0.16666 × 100
⇒ 16.67%
Therefore the percent value-added time for this ride is 16.67%
Elyse should put 48 cups of water to mix the fruit drink.
Step-by-step explanation:
From the given question she knows 4 cups in 1 quart and
4 quarts in 1 gallon.
Elyse can use the unit rate. First she can fill 4 cups by water to find that there are 16 cups in 1 gallon.
She can then fill 3 gallons by water to determine that she will need 48 cups of water to mix the fruit drink.
keeping in mind that perpendicular lines have negative reciprocal slopes, hmmmm what's the slope of the equation above anyway?
![\bf x+y=6\implies y = \stackrel{\stackrel{m}{\downarrow }}{-1}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20x%2By%3D6%5Cimplies%20y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B-1%7Dx%2B6%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for the equation of a line whose slope is 1 and runs through (-5,-6).
![\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-6})~\hspace{10em} \stackrel{slope}{m}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{1}[x-\stackrel{x_1}{(-5)}] \\\\\\ y+6=1(x+5)\implies y+6=x+5\implies y=x-1](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-5%7D~%2C~%5Cstackrel%7By_1%7D%7B-6%7D%29~%5Chspace%7B10em%7D%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%201%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B%28-6%29%7D%3D%5Cstackrel%7Bm%7D%7B1%7D%5Bx-%5Cstackrel%7Bx_1%7D%7B%28-5%29%7D%5D%20%5C%5C%5C%5C%5C%5C%20y%2B6%3D1%28x%2B5%29%5Cimplies%20y%2B6%3Dx%2B5%5Cimplies%20y%3Dx-1)
