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frutty [35]
3 years ago
15

Javier is considering two lawn care services. Premier Landscaping charges $15.00 for travel to the job site and $55.00 per hour

for maintaining his lawn. Ace Landscaping does not have a travel fee, but charges $65.00 per hour for lawn maintenance. At what amount of time do the two lawn companies cost the same?
Mathematics
1 answer:
Wittaler [7]3 years ago
6 0

Answer:

Time in which both companies charge same cost = 1.5 hour

Step-by-step explanation:

Given:

                                                        Fixed    Variable

Premier Landscaping charges          $15        $55

Ace Landscaping charges                               $65

Find:

Time in which both companies charge same cost:

Computation:

Assume in X time both companies charge same cost:

So,

Premier Landscaping total cost = Ace Landscaping total cost

⇒ $15 + $55(Time taken) = $65 (Time taken)

⇒ $15 = $65 (Time taken) - $55(Time taken)

⇒ $15 = $10 (Time taken)

⇒ Time taken = 1.5 hour

Time in which both companies charge same cost = 1.5 hour

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Write an equation of the line in point-slope form y-y_1=m(x-x_1) from the given point and slope.
valentina_108 [34]

Answer:

The equation in point-slope form is y-6=2(x-4).

Step-by-step explanation:

We are given the slope and a coordinate pair of a line.

  • Slope: 2
  • Coordinate Pair (x, y): (4, 6)

Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:

\displaystyle y-y_1=m(x-x_1)

We can label our coordinate pairs with the (x_1, y_1) labeling method.

Therefore, since our two coordinates are:

  • x = 4
  • y = 6

We can label 4 as x₁ and 6 as y₁.

Then, we are able to determine <em>m</em>, or our slope.

  • m = 2

Now, let's set up our equation.

\displaystyle y - y_1 = m(x - x_1)\\\\y - 6 = 2(x - 4)\\\\y - 6 = 2x - 8\\\\y = 2x - 2

Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).

8 0
2 years ago
PLEASE HELP URGENT!!!!!!!
MrMuchimi

Answer:

Choice B is correct

Step-by-step explanation:

4 0
3 years ago
Calculate 1.6 ∙ 103 times 3.0 ∙ 10-6. (Box after the "10" in answer is for the exponent.)
Nutka1998 [239]
(1.6 * 10^3) * (3.0 * 10^-6) = 
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4.8 * 10^(3 - 6) =
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4.8 * 1/10^3 =
4.8 / 10^3 =
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7 0
3 years ago
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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
Kazeer [188]
Y = -2/3x + 5....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the slope and change the sign. So our perpendicular line will have a slope of 3/2 (see how I flipped -2/3 making it -3/2....and then changed the sign, making it 3/2)

y = mx + b
slope(m) = 3/2
(8,1)....x = 8 and y = 1
now we sub and find b, the y int
1 = 3/2(8) + b
1 = 12 + b
1 - 12 = b
-11 = b

so ur perpendicular equation is : y = 3/2x - 11 <==
5 0
3 years ago
Read 2 more answers
Need this very badly ​
NeTakaya
((5x5)/2)x2=50 square ft
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8x7= 56 square ft
50+80+56=186 square ft
D) 186 square ft
4 0
2 years ago
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