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Maurinko [17]
3 years ago
7

one yard company charges $50 a month to mow and edge a lawn plus $10 an hour for the worker. A second conpany charges $60 a mont

h to mow and edge a lawn plus $8 an hour for the worker each lawn company also offers additional services for an extra fee. for how many hours of work will the cost be the same
Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0
The cost of company 1: 10x+50
The cost of company 2: 8x+60
The cost will be the same at:
10x + 50 = 8x + 60 \\ 2x = 10 \\ x = 5
The answer is 5 hours
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Write an equation of the line through each pair of points in slope-intercept form.
ASHA 777 [7]

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

7 0
3 years ago
1. A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings.
Nastasia [14]
1 1/2 divided by 6 is 1/4, so 1/4 of a cup of flour for each serving.

12 is the common denominator between 3/4 and 1/3,so 9/12 and 4/12,add them and you get 13/12,take 12 away from the top number and you get 1 1/12, so           1 1/12 is answer for 2

remember,1 serving is 1/4 of a cu of flour, and 9 is only 3 more than 6,so you just add in 3/4 to the flour, and that yould make it 2 1/4 cups of flour.


i hope this helps
8 0
3 years ago
What is the area of the pyramid square base
Scrat [10]

Answer:

25 cm^2

Step-by-step explanation:

the area of 1 triangle is 20, so the missing length of the triangle is 5. 5x5=25

6 0
2 years ago
If the point (8, 6) is the result of the composition /, what are the coordinates of the point prior to the composition? A. (–11,
Ratling [72]
The answer is d hope this helps
7 0
3 years ago
Read 2 more answers
How far did Eddie travel after his break? (The break is the part with only the straight line!)
densk [106]

The break ended at 4pm when he was at 15 km.

The ride ended at 6pm when he was at 45 km.

From 4 to 6pm he rode 45 - 15 = 30 km.

7 0
3 years ago
Read 2 more answers
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