Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot of landscaping, whereas Company B charges a $90 monthly consulting fee plus $12 per square foot of landscaping. For how many square feet of landscaping will the two companies charge the same amount?

Answer:

17/24 or 0.708333

Step-by-step explanation:

hope that helps :)

Answer & Step-by-step explanation:

When two lines are parallel, their slopes are the same. To find the slope of the given equation, convert to slope-intercept form:

[tex]y=mx+b\\\\[/tex]

[tex]6x-5y=15[/tex]

Solve for y. Subtract 6x from both sides:

[tex]6x-6x-5y=15-6x\\\\-5y=-6x+15[/tex]

Divide both sides by -5:

[tex]\frac{-5y}{-5} =\frac{-6x}{-5} +\frac{15}{-5} \\\\y=\frac{6}{5}x-3[/tex]

The slope is [tex]\frac{6}{5}[/tex].

Now you need to make an equation in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Insert known values:

[tex]y-4=\frac{6}{5}(x-5)[/tex]

You can use this equation, or you can convert to slope-intercept form by solving for y:

Use the distributive property:

[tex]y-4=\frac{6}{5} x-6[/tex]

Add 4 to both sides:

[tex]y-4+4=\frac{6}{5}x-6+4\\\\ y=\frac{6}{5}x-2[/tex]

:Done

The equation of the perpendicular line is [tex]y = \frac 65x - 2[/tex]

The equation of the line is given as:

[tex]6x -5y = 15[/tex]

Start by calculating the slope (m) of the line as follows:

[tex]6x -5y = 15[/tex]

Subtract 6x from both sides

[tex]-5y = 15 - 6x[/tex]

Divide both sides of the equations by -5

[tex]y = -3 + \frac65x[/tex]

Rewrite as:

[tex]y = \frac65x-3[/tex]

For a linear equation, y = mx + b, the slope of the line is m

So, the slope is:

[tex]m = \frac65[/tex]

The equation of the line is said to be parallel to the above equation

So, the slope of the line is:

[tex]m = \frac65[/tex]

The line is said to pass through point (5,4).

So, the equation of the line is:

[tex]y = m(x - x_1) +y_1[/tex]

This gives

[tex]y = \frac 65(x - 5) +4[/tex]

Expand

[tex]y = \frac 65x - 6 +4[/tex]

[tex]y = \frac 65x - 2[/tex]

Hence, the equation of the line is [tex]y = \frac 65x - 2[/tex]

Read more about line equations at:

https://brainly.com/question/14323743

Answer:

40.82cm

Step-by-step explanation:

half of 26 is 13

the second's circle diameter is 13

the formula for circumference is C = 2πr

where r is the radius and π is 3.14

diameter =2r

13 = 2r

r = 6.5

2 x 6.5 x 3.14 = 40.82

40.82 cm  

Answer:  The length of AC is 6.

Might as well make it right lol ;)

Answer:

x = 0.5

Step-by-step explanation:

First, distribute -4 to the parentheses:

-14 = -4(9x - 1)​

-14 = -36x + 4

Subtract 4 from both sides:

-18 = -36x

Divide each side by -36

0.5 = x

x = 0.5

➠ -14 = -4(9x - 1)

Multiplying by -1 on both sides,

we ge[tex]t[/tex]

➠ 14 = 4(9x - 1)

➠ 14 = (4 × 9x) - (4 × 1)

➠ 14 = 36x - 4

➠ 36x = 14 + 4

➠ 36x = 18

➠ x = 18/36

➠ x = 1/2

➠ x = 0.5

Answer:

x + 6 = 10

x = 4

Answer:

A) [tex]log{4}[/tex] (3x+4) = 2

Step-by-step explanation:

took the test

Answer:

42 ounces.

Step-by-step explanation:

First, divide the 28 ounces by the 12 cups. You would then have 2.33333333333 ounces of beef needed for one cup of soup. Then, you would multiply that by 18, and you would get 48.

Answer:

4mn,m and, 5. The terms are anything that's not a symbol like + or = in an equation

P.s.

Please give me brainliest for my next rank.

Answer:

∠1 is supplementary to ∠3.

Step-by-step explanation:

Given information: ABCD is a parallelogram.

Prove: ∠1 is supplementary to ∠3.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = exterior angle adjacent to angle D B C.

Statement                                         Reason

∠2 is supplementary to ∠3           Linear pairs

m∠2+m∠3=180°                             Definition of supplementary angles

                           Alternative interior angles

m∠1+m∠3=180°                              Substitute property of equality

∠1 is supplementary to ∠3            Definition of supplementary angles

Step-by-step explanation:

0

Answer:

its c i tink but im not completly sure

Step-by-step explanation:

Answer: B. The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.

The explanation is in the photo below:

360-gon all have 80-degree rotational symmetry.

Answer:

360-gon all have 80-degree rotational symmetry.

Step-by-step explanation:

Answer:it thinks it 45

Step-by-step explanation:

I counted

Answer:

45%

Step-by-step explanation:

use ratio;

100-100%

45-x

Answer: k < 3

......................

Answer: One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

It equals a negative so there is no solution

The equation of a line passes through the point (10,1) and has a slope of

- 0.5 is y = - 0.5x + b.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.

Yes, A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

Now, A line is drawn on the coordinate plane that passes through the point (10, 1) and has a slope of - 0.5.

Therefore,  1 = - 0.5(10) + b.

1 = - 5 + b.

b = 6.

And hence equation of the required line is,

y = - 0.5x + 6.

learn more about lines and slopes here ;

https://brainly.com/question/16180119

#SPJ2

Answer:  (3x - 12, 3y +6)

Step-by-step explanation:A dilation is a transformation that produces an image that is the same shape as ... The dilation (centered at O with a scale factor of 2) of ΔABC = ΔA'B'C' making ... from O to the vertices of ΔA'B'C' are twice the distances from O to ΔABC. ... Apply the dilation formula when centered at origin: (3(x - 4), 3(y + 2)) = (3x - 12, 3y + 6)

Ok, to solve for (a) you need to get it alone. So divide 9 by all.

9a/9 = b^3/9 + 4H/9

Then your left with your equation, which is

a = b^3/9 + 4H/9

Hope this helps, if so please mark brainliest.

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Explanation:

To find the slope, all you need are two points.

Pick any two columns to form the two points. Once you have your two points, use the slope formula

I'll use the first two columns

m = (y2-y1)/(x2-x1)

m = (12.2-13)/(4-0)

m = -0.8/4

m = -0.2 is the slope

The y intercept is b = 13 since x = 0 leads to y = 13 (column 1)

With m = -0.2 and b = 13, we go from y = mx+b to y = -0.2x+13

Answer:

x=-1

Step-by-step explanation:

-9x+18-18=27-18

-9x=9

-9x/-9 = 9/-9

x=-1

Answer:

-1

Step-by-step explanation:

Answer:

1, 2, and 4. (I believe it is).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical by definition means up and down. The y-axis fits this description. Look at a picture of a Cartesian coordinate system

Answer:

the y-axis

Step-by-step explanation:

vertical is up and down

horizontal is side to side or left and right

y is up and down

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

-3 = x - 11

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-3 = 8 - 11

-3 = -3

Answer:

X = 8

Step-by-step explanation:

8-11= -3. I think the easiest way to solve this if you are new to negative numbers is to use a number line.

Good luck!

Answer:

The constant of proportionality is 3/4

Step-by-step explanation:

Here, we want to write the constant of proportionality in the given graph .

To find the constant of proportionality, we need to find the slope of the line.

We can get the slope by using two of the points on the line.

Mathematically, slope of a line m is;

m = (y2-y1)/(x2-x1)

Let (x1,y1) = (120,90) and (x2,y2) = (400,300)

slope will be ( 300-90)/(400-120) = 210/280 = 3/4

Answer:

=-37

Step-by-step explanation:

=-3(3+7) - ( 4+3)

=-3.10-(4+3)

=-3.10-7

=-30-7

=-37

Answer:

Your final answer will be

−37

Step-by-step explanation:

(2−5)(3+7)−(4+3)

= −3(3+7)−(4+3)

= (−3)(10)−(4+3)

= −30−(4+3)

= −30−7

= −37

Answer:

30 centimeters

Step-by-step explanation:

You have to find the scaling of the lengths first, and to do that, you divide the 20 by 8, which would be 2.5. After, you multiply 2.5 by 12 to get your answer.

Answer:

30

Step-by-step explanation:

20 divided by 8 is 2.5, so you know that the triangle expanded by 2.5.

Multiply the small triangle's length by 2.5 to get your answer of 30.

Answer:

Linear

Step-by-step explanation:

Find the degree of the equation to determine if linear.

All are linear.

Solve them to determine whether they are linear or non-linear.

Answer:

13,439+26,948= 40,387