Luis charges a travel fee of $10 plus $25 per month to mow his neighbors' lawns. If most of his customers only get their lawns mowed for 5 to 8 months out of the year, what is the RANGE of this situation?

Answers

Answer 1

Answer:

135 to 210

Step-by-step explanation:

Given

[tex]Base\ Charge = 10[/tex]

[tex]Additional\ Charge = 25[/tex] monthly

Months = 5 to 8

Required

Determine the range of the function

First, we need to determine the function equation.

Let total charges be y and months be x

[tex]y = Base\ Charge + Additional\ Charge * x[/tex]

[tex]y = 10 + 25 * x[/tex]

[tex]y = 10 + 25x[/tex]

When x = 5:

[tex]y = 10 + 25 * 5[/tex]

[tex]y = 10 + 125[/tex]

[tex]y = 135[/tex]

When x = 8

[tex]y = 10 + 25 * 8[/tex]

[tex]y = 10 + 200[/tex]

[tex]y = 210[/tex]

Hence, the range is 135 to 210


Related Questions

Write a fraction that is equivalent to 3/4 with a denominator of 20

Answers

Answer:

15/20

Step-by-step explanation:

1. Take the denominator of 3/4 and multiply it by 5 because that is what it takes to get 20 from 4.

4 x 5 = 20.

2. Multiply the numerator by 5 as well.

15/20

Answer:

3 / 4 =  15 / 20

Step-by-step explanation:

I think thats right

PLEASE SOMEONE DO THIS FOR ME: Determine the x - and y - intercepts of the following linear function: 4x + 8y =16

Answers

4x+8y=16

4x/4+8y/8=16÷4/8

x+y=16×8/4

x+y=16×2

x+y=32

In a certain​ chemical, the ratio of zinc to copper is 3 to 11. A jar of the chemical contains 385 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer:

35 grams

Step-by-step explanation:

The ratio of zinc to copper is 3 to 11

A jar of chemical contains 385 grams if copper

Therefore the number of grams of zinc it contains can be calculated as follows

3/11= x/385

11x= 385

x= 385/11

= 35 grams

Hence the chemical contains 35 grams of zinc

Find the circumference of a circle whose area
is 38.5 m²​

Answers

Answer:

12.41m

Step-by-step explanation:

Well, if we divide by the hypotenuse of the Pythagorean Theorem due to the angle created between the divisions on the scale between the 8th and 7th degree law of the Mathematical Institution of Nigeria, Ghana and Ethiopia (MINGE), then we get the result of 12.41.

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?

Yes, y = 2x.
Yes, y = 20x.
No, y = x + 10.
No, y = x + 20.

Answers

Answer: yes , y=2x

Step-by-step explanation:

took the test.

Answer:

A on edge!

Step-by-step explanation:

Have a good day! :3

Pls help really fast I don't know this!!!!!

Answers

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

please answer I will give 20 and brainiest

Answers

I think it’s the first option

Answer:

#1

Step-by-step explanation:

-7- Go back 7 numbers from 0

6- Go foward 6 numbers from -7

-4- Go down 4 numbers from -1

-7+6=-1

Go four down from -1

(-1,-4)

Hope this helped :)

5x + 2x + 2 = 9x + 4​

Answers

Step-by-step explanation:

Given

5x + 2x + 2 = 9x + 4

9x - 5x - 2x = 2 - 4

9x - 7x = - 2

2x = - 2

x = - 2 / 2

Therefore x = -1.

therefore lhs is equal to rhs

Write the number 1.7 x 10^-5 in standard form

Answers

Answer:

0.000017x

I hope this is correct

Which statement about these triangles is true

Answers

Answer:

c

Step-by-step explanation:

100% as a fraction in simplest form

Answers

Answer:

1

Step-by-step explanation:

100/100 =

1

srry if wrong but

hope this helps

take care

b - 9 = 21
linear equations

Answers

Answer: b=30

Step-by-step explanation: add 9 to both sides

b−9+9=21+9

b=30

add 9 from 9 this will cancel out the nine then add 9 to 21 and what ever u get is ur answer b=30

Step-by-step explanation:

b-9=21

  +9

(0,8)
(-2,0). What is the equation of the linear graph shown?

Answers

Answer:

4

x value increases  by 2 in the time it takes y value to increase by 8

8/2 = 4

Help with both questions please

Answers

First one is -1. The second one is 1/2.

the answer:
1: -1
2: 1/2

-3/4(x-3)-5= 1/8 (x-1)

Answers

I think it’s 1384939384$3

Answer:

It’s -3

You should just simply multiply them and then get the answer.

Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12, 10). There is a rest stop half way between A and B.

1. Find the coordinates of the rest stop.
2. Find the total distance from A to B.

Answers

Answer:

Question 1: b) Find the total distance from A to B

Distance formula:

d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2

d=Square root of (6-4)^2+(12-8)^2+(10-2)^2

d= 9.165 = 9.17 units

Answer:

1 a

Use the midpoint formula:

m=x1+x2/2, y1+y2/2, z1+z2/2

m= 4+6/2 ,8+12/2, 2+10/2

m= (5 ,10, 6)

Step-by-step explanation:

help me answer this please!!!

Answers

Answer:

Step-by-step explanation:

20 + 20 + x = 180

x = 140

Answer:

140° ?

Step-by-step explanation:

Since Angle CAD is 20°, and CEA is 180°. Angle CED has to equal to 20°. I added angle CAD to CED and got 40°. Then I subtracted 40 from 180 and got 140 °.

Hope this Helps!!!

Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)left parenthesis, 7, comma, 4, right parenthesis. Use exact numbers. y-4=y−4=y, minus, 4, equals

Answers

Answer:

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,3)[/tex]

[tex](x_2,y_2) = (7,4)[/tex]

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 - 3}{7 - 2}[/tex]

[tex]m = \frac{1}{5}[/tex]

The equation is then calculated as thus:

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

This gives:

[tex]y - 4 = \frac{1}{5}(x -7)[/tex]

Open bracket

[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Answer:

y - 4 = 1/5 ( x - 7 )

Step-by-step explanation:

Khan Academy

Work out the equation of the straight line which has a gradient of 2

Answers

Note: It seems you may forget to write the complete statement. Maybe you should have either mentioned the y-intercept or any other point to work out the equation.

Anyways I am assuming your complete statement is ''Work out the equation of the straight line which has a gradient of 2 and passes through (1, 4)''.

Answer:

We conclude that the equation of a line using the slope-intercept form is

[tex]y=2x+2[/tex]

Step-by-step explanation:

I am assuming your complete statement is ''Work out the equation of the straight line which has a gradient of 2 and passes through (1, 4)''.

The slope-intercept form of the equation

[tex]y=mx+c[/tex]

Here

m is the slopec is the y-intercept

Substituting the point (1, 4) and m=2 to determine the y-intercept

[tex]y=mx+c[/tex]

[tex]4 =2(1)+c[/tex]

[tex]4 = 2+c[/tex]

[tex]c = 4-2[/tex]

[tex]c = 2[/tex]

Thus, the equation of a line using the slope-intercept form is

[tex]y = mx+c[/tex]

m=2c=2

[tex]y=2x+2[/tex]

Therefore, we conclude that the equation of a line using the slope-intercept form is

[tex]y=2x+2[/tex]

Answer:

you are missing part of your question

Step-by-step explanation:

Someone please answer these questions I need help!! :(

Answers

Answer:

4. the answer is 20      

5. x=12 y=30

6. MLV = TUV bySSS

7. ABC=HGF by SSS

to show work:

4. 15/12=25/x      (cross multiply)

  =15x=300         (divide both sides by 15)

  =  x=20    

5. the triangle is equilatieral so all the angles are the same. this means 60=2y.

if you isolate the variable and divide both sides by 2, you get y=30

6. 49/14 = 28/8 ?

if you solve both the division problems, they both equal 3.5, meaning the side lengths are the same so the rule would be SSS or side side side

and you do the same thing with the next triangle too

hope this helps!! also brainliest would be nice but you dont have to


What is the 10th term of the sequence 729, 243, 81, 27...? Enter any rational answer
in the form a/b or round to the nearest thousandth.

Help please.

Answers

Answer:

The 10th term of the sequence is:

[tex]a_{10}=\frac{1}{27}[/tex]

Step-by-step explanation:

Given the number

729, 243, 81, 27...

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratio of all the adjacent terms

[tex]\frac{243}{729}=\frac{1}{3},\:\quad \frac{81}{243}=\frac{1}{3},\:\quad \frac{27}{81}=\frac{1}{3}[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=\frac{1}{3}[/tex]

also

[tex]a_1=729[/tex]

Therefore, the nth term is computed by:

[tex]a_n=729\left(\frac{1}{3}\right)^{n-1}[/tex]

Putting n = 10 to find the 10th term

[tex]a_{10}=729\left(\frac{1}{3}\right)^{10-1}[/tex]

     [tex]=729\cdot \frac{1}{3^9}[/tex]

      [tex]=\frac{1\cdot \:729}{3^9}[/tex]

      [tex]=\frac{729}{3^9}[/tex]

      [tex]=\frac{3^6}{3^9}[/tex]

      [tex]=\frac{1}{3^3}[/tex]

[tex]a_{10}=\frac{1}{27}[/tex]

Therefore, the 10th term of the sequence is:

[tex]a_{10}=\frac{1}{27}[/tex]

     

Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?




The relationship is linear.


The relationship is non-linear.


The relationship is proportional.


The relationship is non-proportional.


The relationship always results in a positive profit.


The relationship always results in a negative profit.

Answers

Answer:

linear and positive profit

Step-by-step explanation:

In ΔSTU, s = 730 cm, t = 270 cm and ∠U=125°. Find the length of u, to the nearest centimeter.

Answers

Answer:912

Step-by-step explanation:

deltamath

The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would be less than 21635 dollars if a sample of 193 persons is randomly selected?

Answers

Answer:

0.72321

Step-by-step explanation:

Given that :

Mean = 21604

Standard deviation (s) = 727

Sample size (n) = 193

P(x < 21635) :

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s/√n

Z = (21635 - 21604) / 727/√193

Z = 31 / 52.330605

Z = 0.5923875

P(Z < 0.5924) = 0.72321 (Z probability calculator)

p(Z < 0) = 0.5 ( Z probability calculator)

Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number

Answers

Answer:

The answer is below

Step-by-step explanation:

Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce

Solution:

a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.

x = 2/5(w - 10)             (1)

y = (3(w + 3) - 4)/4

y = (3w + 5) / 4            (2)

z = 2(w + 7)/3              (3)

b) Given that w = 125 eggs:

x = 2/5(125 - 10) = 46 eggs

y = (3(125) + 5) / 4 = 95 eggs        

z = 2(125 + 7)/3 = 88 eggs

c) x + y = z + 24.

i.e.  2/5(w - 10)  + (3w + 5)/ 4  = 2(w + 7)/3  + 24

multiply through by 60:

24w - 240 + 45w + 75 = 40w + 280 + 1440

69w - 165 = 40w + 1580

29w = 1885

w = 65 eggs

x = 2/5(65 - 10) = 22 eggs

y = (3(65) + 5) / 4 = 50 eggs        

z = 2(65 + 7)/3 = 48 eggs

Multiple choice question: A square mosaic is made of small glass squares. If there are 196 small squares
in the mosaic, how many are along one edge? Image is of a mosaic, not the
problem. *
O 14 squares
O 49 squares
O 98 squares
O 16 squares

Answers

Answer:

14 squares

Step-by-step explanation:

1. We know if the mosaic is a square shape, all sides are the same length and consist of the same amount of squares

2. Area is L×W, so in this case A×A=196

3. We can test this by replacing A with 14 and seeing if the answer is correct.

4. 14×14=196 is true

This can also be done by finding the square root of 196.

Which is the best estimate of 28x0.64

Answers

Answer:

the full answer is 17.92, so that would round up to 18

Step-by-step explanation:

:)

write the constant of proportionality (k). Write an equation (y=kx)

Answers

Answer: hmmmm

Step-by-step explanation:

please, someone help me

Answers

Answer:

the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4

Step-by-step explanation:

BRAINLIEST! As a dolphin swims along the side of a cruise ship, he jumps to a height of seven meters above the water surface and dives to a depth of seven meters below the surface. He does this in a regular motion (simple harmonic motion). A passenger starts a stopwatch just as the dolphin is coming up to the surface. The passenger determines that the dolphin completes one cycle every 6 seconds.

Answers

PLS! MARK ME AS A BRAILIEST......

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