alishastevens16
08.10.2021 •
Mathematics
A truck can be rented from Company A for $90 a day plus $0.20 per mile. Company B charges $30 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
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Ответ:
150 miles
Step-by-step explanation:
Let A stand for Company A's Total Price, and B for Company B. Let x be the number of miles driven.
A = $90 + ($0.20/mile)*x
B = $30 + ($0.60/mile)*x
We want to know for what x does A = B
$90 + ($0.20/mile)*x = $30 + ($0.60/mile)*x
$60 + ($0.20/mile)*x - ($0.60/mile)*x = 0
$60 + x*($0.20/mile) - ($0.60/mile)) = 0
$60 + x*(- ($0.40/mile)) = 0
x*(- ($0.40/mile)) = -$60
x = -$60/(-$0.40/mile)
x = 150 miles
Company A, 1 day, 150 miles = $120
Company B, 1 day, 150 miles = $120
At 150 miles, and just 1 day, both companies will charge a total of $120 for the rental.
Ответ:
() *0.06
Step-by-step explanation:
Cleo buys x packs of markers, y wide-ruled notebooks, and z college-ruled notebooks.
All spiral-bound notebooks, whether wide-ruled or college-ruled, sell for $1.20 each. This gives expressions : 1.20y and 1.20z
A store sells four-packs of permanent markers in assorted colors for $3.19 per pack. Cleo buys x packs of markers so expression becomes :
(3.19 per pack)
As Cleo buys x packs of markers, y wide-ruled notebooks, and z college-ruled notebooks.
The combined expression becomes:
The store charges a 6% sales tax on Cleo’s total bill. So, expression becomes:
() *0.06