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yan [13]
3 years ago
7

Four friends decided to host the grand opening of their bar on St. Patrick's Day. They built their bar's at different distances

from each other. John's bar is 60 km away from Ben's bar. Doug's bar is 40 km away from Kieran's bar. John's bar is 10 km nearer to Doug's bar than to Kiran's bar. How far away is Doug's bar to Ben's bar?
Mathematics
1 answer:
ki77a [65]3 years ago
8 0
Doug's bar is 50 km away from Ben's bar. let me know if I need to explain.
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$5,875

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Solve 25+10*(12-x)=5*(2x-7)
lions [1.4K]
<span>Simplifying 25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)
 
Combine like terms: 25 + 120 = 145 145 + -10x = 5(2x + -7)
 
Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
 Solving 145 + -10x = -35 + 10x
 
Solving for variable 'x'.
 
Move all terms containing x to the left, all other terms to the right.
 
Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
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Combine like terms: 10x + -10x = 0 145 + -20x = -35 + 0 145 + -20x = -35
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Combine like terms: -35 + -145 = -180 -20x = -180
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x = 9
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Hope this helps you ! =')</span>
4 0
3 years ago
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The functio
11111nata11111 [884]

Answer:

The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

Step-by-step explanation:

Key points:

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It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.

Two functions are provided are:

f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount

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Compute the total amount a member pays for an item with a regular price of x dollars as follows:

T (x) = Discount × Sales Tax

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       = 0.963<em>x</em>.

Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

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