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dedylja [7]
3 years ago
12

Please help :( how you do the bottom part

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

1. x = 14

2. (14, 115.18)

3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Step-by-step explanation:

The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.

To do the first question, you simply have to make the equation from the story problem.

These equations are usually in the slope intercept form, y = mx + b

C(x) is the same as y, so begin by replacing it for simplicity.

If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.

y = 7.87x + 5

Now we can substitute variables to solve the equation.

To find x when C(x) = 115.18, we substitute y for 115.18.

115.18 = 7.87x + 5

Subtract 5 from both sides:

110.18 = 7.87x

Divide both sides by 7.87:

14 = x

So we have our first answer. When C(x) = 115.18, x = 14.

The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.

This means, as an ordered pair, the answer is (14,115.18).

The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Hope this helped!

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15-y>8

Subtract 15 from each side

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-1 * -y > -7*-7

y <7

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Sam bought 15 pies and 7 slices of cake for $55.25. If each pie cost 2/5 as much as a slice of cake, what was the total cost of
romanna [79]

Answer: $10.20

Step-by-step explanation:

Let's first collect the information from the word problem.

<h3><em>We are told:</em></h3>
  • Bought 15 pies and 7 cake slices
  • Total cost was $55.22.
  • Pies cost \frac{2}{5} as much as a slice of cake
<h3><em>We need to solve for:</em></h3>
  • Total cost of 1 pie and 2 cake slices

1. Create an equation/expression:

To solve the problem, we need to find the price of a pie and cake slice.

Using the information gathered, the equation is:

    55.25 = 7x+15(\frac{2}{5} x)

<em>x = the cost of the slice of cake.</em>

<em />

2. Simplify/Solve

55.25 = 7x+15(\frac{2}{5}x)\\55.25 = 7x+15*\frac{2}{5}*x\\55.25 = 7x+6x\\55.25 = 13x\\4.25 = x

  • Great! we have the price of a slice of cake. ($4.25)

Remember that the pie is \frac{2}{5} of a slice of cake, so now find the price of the pies.

Pie = \frac{2}{5} 4.25

Pie = $1.70

  • Awesome! We know a slice of cake costs $4.25 and a slice of pie costs $1.70.

3. Check your work!

<em>Check to make sure the math is done correctly!</em>

55.25=7(4.25)+15(1.70) \\55.25=29.75+25.50\\55.25=55.25

Good! It is verified that our calculations are correct.

4. Solve!

1 pie and 2 cakes cost: 1.70+2(4.25)

  • $10.20 is our final answer!

  • Hope this helped!~~ -Astro

7 0
4 years ago
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