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kirill115 [55]
2 years ago
13

Troy is considering two lawn care services. Premier Landscaping charges $15 for travel to Troy's house and $55 per hour for main

taining his lawn. Ace Landscaping does not have a travel fee, but charges $65 per hour for lawn maintenance. Part A Write a system of equations that represent the lawn care services.
Mathematics
1 answer:
Irina18 [472]2 years ago
8 0

Answer:

Cost for Premier Landscaping = 55h+15

Cost for Ace Landscaping = 65h

Where h is the number of hours spent on lawn care.

Step-by-step explanation:

Given that:

<em>Charges as per Premier Landscaping:</em>

Fixed charges for travel to the house = $15

Per hour charges = $55

Let h be the number of hours for which lawn care is done.

So, Charges for h hours = Per hour charges \times Number of hours =$55h

Therefore, total cost = 55h+15

Charges as per Ace Landscaping:

Per hour charges = $65

Let h be the number of hours for which lawn care is done.

Then Charges for h hours = Per hour charges \times Number of hours =$65h

Therefore, system of equations that represent the lawn care services:

Cost for Premier Landscaping = 55h+15

Cost for Ace Landscaping = 65h

h>0

Where h is the number of hours spent on lawn care.

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Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.

4^(1/7) would become ⁷√4  .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.

4^(7/2) would become √(4⁷)  ... the 7th power goes with the number under your radical and the "2" becomes a square root

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3 years ago
Ryan completed 1/8 of his test in 2/5 hour. If Ryan’s rate stayed the same, how much of his test was finished in one hour
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This question requires creating a few equations and working through them step-by-step. Now, first let's give each of the shapes a variable: let's say that the blue shape is a, the orange shape is b and the green shape is c.

1. We can technically create six formulas for the magic square, with three for sum of the rows and three for the sum of the columns, however the smartest way to approach this is to observe whether there are any obvious answers that we can get.

We can see in row 2 that there are three of the same shape (a) that add to 57. This makes it very simple to calculate the value of the shape.

Since 3a = 57

a = 57/3 = 19

2. Now we need to find a row or column that includes a and one other shape; we could choose either column 2 or 3, so let's go with column 2. Remembering that the blue shape is a and the orange shape is b:

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