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Paladinen [302]
3 years ago
11

Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgete

d $2,000 for their reception. If the reception hall charges a $90 cleanup fee plus $31 per​ person, find the greatest number of people that they may invite and still stay within their budget.
Mathematics
1 answer:
forsale [732]3 years ago
7 0

first you take 2,000 and subtract the cleanup fee, you get  1910  then you divide that by 31 and get 61.61 but you cant invite half a person so they can invite 61 people in total.

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Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>

4x+2y=222

<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>

2x+3y=213

<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.

2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51

Hence, y = 51

<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>

First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30

Hence, skiing costs $30 per hour and boating costs $51 per hour.

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Mkey [24]

Answer:

A

Step-by-step explanation:

A is correct.  The graph of the basic exponential function neither touches nor crosses the x-axis, whereas a linear function does cross over and can be negative for some inputs.

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Step-by-step explanation:

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german

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Step-by-step explanation:

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3 0
3 years ago
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miv72 [106K]

Answer:

9x = 16

Step-by-step explanation:

2+2/3x=3/4

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3x/4  = 4/3

9x = 16

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3 years ago
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