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

PLEASE helppppp!!!

A group of students and teachers are going on a field trip. One-ninth of the group will fit on 1/3 of a school bus. How many buses are needed to transport the entire group?

Answers

Answer:

3 buses

Step-by-step explanation:

Total number of students=1

1/9 =1/3of the school bus

1=?

(1*1/3)÷(1/9)= 3 buses

WILL GIVE BRAINLIEST a card is picked from the following card find the probability that the card drawn is purple

Answers

Answer: 2/7

Step-by-step explanation: if there are 7 cards and two of them are purple, we can show this as 2/7

2/7 or 28.57 as a percent

Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week.

Answers

Answer:

10000

Step-by-step explanation:

HELPP ME PLEASEEEEEE

Answers

Answer:

4

Step-by-step explanation:

=1/2×8

=4

Hope this helps u....

Answer:

1/2 ÷1/8

i.e 1/2×8

= 2÷8=4

The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.

Which methods can be used to simulate this situation? Select three options..

Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.

Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.

Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though

Answers

Answer:

Step-by-step explanation:

Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.

Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.

Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Answer:

B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.

E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Step-by-step explanation:

I just did the test and got this correct.

(please mark brainliest)

Have a good day!

A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The Cheerleading squad wants to raise $500. Let x represent aluminum cans and y represent plastic bottles. Use this description to answer all questions in this section.

Answers

Question:

(a) Write a linear equation that describes the problem

(b). If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

Answer:

a. [tex]0.10x + 0.05y = 500[/tex]

b. 2000 cans

Step-by-step explanation:

We have the following:

[tex]Cost = \$0.10[/tex] per aluminum

[tex]Cost = \$0.05[/tex] per plastic bottle

[tex]Total = \$500[/tex]

Solving (a): The linear equation.

If 1 aluminum can costs $0.10,

x cans would cost $0.10x

If 1 plastic bottle costs $0.05,

y bottles would cost $0.05y

Total Cost:

[tex]Aluminum + Plastic = Total[/tex]

[tex]0.10x + 0.05y = 500[/tex]

b.

If y = 6000.

Solve for x

We have:

[tex]0.10x + 0.05y = 500[/tex]

Substitute 6000 for y

[tex]0.10x + 0.05* 6000 = 500[/tex]

[tex]0.10x + 300= 500[/tex]

Collect Like Terms

[tex]0.10x = 500 - 300[/tex]

[tex]0.10x = 200[/tex]

Solve for x

[tex]x = 200/0.10[/tex]

[tex]x = 2000[/tex]

helpmepleasethankyou:)

Answers

Answer:

Step-by-step explanation:

If we take 1 cup of Original purple paint,

Ratio of blue and red paint = 2 : 3

Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups

Similarly, ratio of blue and red paint in the New purple paint = 5 : 7

If we take 1 cup of New purple paint,

Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups

Therefore, shade of both the mixtures will not be same.

Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.

Find the slope of the line that contains the points named.

X(2, -1), Y(0, 4)

Answers

Answer:

- 4/3 0r - 1 1/3 0r - 1.33333333 ( the 3 keeps repeating)

Step-by-step explanation:

I would suggest to use a table so....

x         y

2        0

-1         4

from 0 to 4 you add 4

from 2 to -1 you subtract 3

so y/x

4/-3 = - 1 1/3 or - 1.333333

Hope this helped a little!

Answer:

actually the answer is -5/2

Step-by-step explanation:

PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!




Simplify (5 ^1/3)^3
A. 5
B. 5^9
C. 1/5
D. 5^3

Answers

Answer:

A) 5

Step-by-step explanation:

(5^(1/3))^3=5^(1/3*3)=5^(3/3)=5^1=5

E3: Amab sells an article to Vivek at a profit of 15% and Vivek sells it to
Sagar at a profit of 10%. If Sagar pays 35060 for the article, what was its
cost price?​

Answers

Answer:

the cost price is 27,715

Step-by-step explanation:

Let the cost price be x

As Amab sells to Vivek at 15% profit

So the selling price be

= 115 ÷ 100 × x = 1.15x

And Vivek sells to sagar at a profit of 10%

= 1.15x × 110 ÷ 100

= 1.265x

Now sagar pays it for 35,060

So , the cost price be

1.265x = 35,060

x = 27,715

Hence, the cost price is 27,715

The sum of the angles of a triangle is 180°. The second angle is 35° more than the first angle the third angle is 25° more than the first angle what are the three angles

Answers

Answer:

The three angles are 40°, 75°, 65°

Step-by-step explanation:

Assume that the first angle is x

∵ The second angle is 35° more than the first angle

∴ The second angle is x + 35

∵ The third angle is 25° more than the first angle

∴ The third angle is x + 25

∵ The sum of the angles of a triangle is 180°

→ Add the three angles and equate the sum by 180°

x + x + 35 + x + 25 = 180

→ Add the like terms in the left side

∴ (x + x + x) + (35 + 25) = 180

3x + 60 = 180

→ Subtract 60 from both sides

∴ 3x + 60 - 60 = 180 - 60

∴ 3x = 120

→ Divide both sides by 3 to find x

x = 40

→ Find each angle by substitute x by 40

∵ First angle = x

The first angle = 40°

∵ Second angle = x + 35

The second angle = 40 + 35 = 75°

∵ Second angle = x + 35

The third angle = 40 + 25 = 65°

The three angles are 40°, 75°, 65°

How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet

Answers

The yard is 60ft * 80ft = 4800ft2.

One bag covers 100ft2.

4800ft2/100ft2/bag = 48 bags

Hopes you can help me.
happy holidays. Okay Byeeee.
Merry XMAS.
Question in the above attachment. ​

Answers

Answer:

its b bit.

3-4√5let as assume on the contrary that 3-4√5 is rational.

3-4√5 = p/q ( p and q are integers )

4√5 = p/q - 3

4√5 = p - 3q /q

√5 = p - 3q / 4q............... see image plz........

merry Christmas....

Two stores have movies to rent.
The first store charges a $5 per-month membership fee plus $2.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.
How many movies would you have to rent in order for the cost to be the same at both stores?

Answers

Answer: 5 +2.5n=3.5n You need to calculate n.

Step-by-step explanation:

A government estimates the cost to design new radar technology over a period of $m$ months. The government estimates $840,000 for equipment, $15,000 for software, and $40,000 per month for wages. Use an algebraic expression to find the total cost the government estimates when the project takes 16 months to complete.

Answers

Answer:

$1,495,000

Step-by-step explanation:

From the above, we can infer that the first two costs for equipment and software are fixed cost, while wages is the cost that is influenced by the number of months (m).

The above implies that we would multiply number of months 'm' with $40,000.

= 840,000 + 15,000 + 40,000m

Where month (m) = 16

= 840,000 + 15,000 + 40,000(16)

= 840,000 + 15,000 + 640,000

= $1,495,000

Therefore, the total cost is $1,495,000

A LITTLE HELP HERE PEOPLE BTW IF UR RIGHT BRAINLIST IT IS........

Answers

The surface area would be 142 cm squared. Hope this helps

Find the exact length of the third side.

Answers

Answer:

x = √51

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Leg a = x

Leg b = 7

Hypotenuse c = 10

Step 2: Solve for x

Substitute:                    x² + 7² = 10²Isolate x term:              x² = 10² - 7²Exponents:                   x² = 100 - 49Subtract:                       x² = 51Isolate x:                       x = √51

The total weight
of 25 books is 125
pounds. How many
pounds would 70
books weigh?

Answers

70 / 25 = 2.8

125 * 2.8 = 350

therefore 70 books would be 350 pounds

plz help me on math ​

Answers

5.80 is the answer broo so yeahhhg

2. What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the
initial deposit is $1000?
O $1300.50
N.
O $1020.11
O $1012.52
O $1348.07

Answers

Answer:

You deposit $1000 in a savings account that earns ... Balance at. End of Year. = Principal + Annual. Interest. = $1000 + $1000(0.06) ... balance in an account that earns interest compounded annually after t years. P = Principal (initial deposit) ... 15. 4.8. —. 12. 16. 268.68 ⋅72. 17. MULTIPLE CHOICE Which graph represents ...

Step-by-step explanation:

Which equation would help you find the missing side length in the right triangle shown?

Answers

Equation a^2 + b^2 = c^2
c = longest side, unknown
The answer is D.
12^2 + 10^2 = c^2

If the selling price for laptop is $1100 and is marked down by 30% in promotional offers, then sale price after discount is​

Answers

30% of 1100 is 330. The price (1100) after discount (330) is 770
770$

Ava buys a book for $8.85 .she pays $10 bill.How much chang will see get?

Answers

Given:

Ava buys a book for $8.85 .

She pays $10 bill.

To find:

The amount of change she will get.

Solution:

We have,

Price of book = $8.85

Amount she pays = $10

Now,

Amount of change = Amount she pays - Price of nook

Amount of change = $10 - $8.85

Amount of change = $1.15

Therefore, she will get $1.15 as change.

Answer:

1.15

Step-by-step explanation:

The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number?​

Answers

Answer:

The number is:

[tex]n = 40[/tex]

Step-by-step explanation:

Let 'n' be the number

Increasing a number by 20% = (n + n×20/100)Decreasing a number by 14% = (n - n×15/100)

As the difference between increasing a number by 20% and decreasing the same number by15% is 14.

Thus, the expression becomes

[tex]\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14[/tex]

[tex]n+\frac{n}{5}-n+\frac{3n}{20}=14[/tex]

[tex]\frac{7n}{20}=14[/tex]

Multiply both sides by 20

[tex]\frac{7n}{20}\cdot \:20=14\cdot \:20[/tex]

[tex]7n=280[/tex]

Divide both sides by 7

[tex]\frac{7n}{7}=\frac{280}{7}[/tex]

[tex]n=40[/tex]

Thus the number is:

[tex]n = 40[/tex]

HELPPPPPPP PLEASEEEE PLEASEEEE PLEASEEEE PLEASEEEEE PLEASEEEEE

Answers

Answer:

1. quadrant 3

2. quadrant 2

3. L (-1,2) M (-3,1) N (-2,5)

4. L (3,0) M (1,-1) N (2,3)

Answer:

1. Quadrant III

2. Quadrant II

L=(-1,2) M=(-3,1) N=(-2,5)

3. L=(3,-4) M=(1,-3) N=(2,-7)

Step-by-step explanation:

A square rug has a side length of x. A rectangular rug has a length that is 4 yards longer than the square rug and a width that is 2 yards shorter than the square rug. If the areas of the two rugs are equal, what is the length of the rectangular rug?

Answers

Answer:

8

Step-by-step explanation:

X²=(x+4)(x-2)

x²=x²+2x+4x-8

x²=x²+2x-8

x²-x²-2x=-8

2x=8

x=4

so the square rug is 4x4 and the rectangular rug is 8x2

Assume the average child weighs 40 pounds at age 3. Assume the
average child weighs 70 pounds at age 6. What is the average number of
pounds the child gains per year between ages 3 and 6?

Answers

Answer:

10 i think

Step-by-step explanation:

Answer: 10 pounds per year

The given unit rate is 30 pounds every 3 years.

Now, we will divide 30 pounds by 3 years.

30 pounds ÷ 3 years = 10 pounds per year

The answer is 10 pounds per year.

what is an equetion of the line that paraell to y=3x - 8and passes through the point[4,-5]

Answers

Answer:

-2.5 I THINK

Step-by-step explanation:

Parallel = same slope
Slope: 3
Y = 3x + b
-5 = 3(4) + b, b = -17
Equation: y = 3x - 17

simplify 1000^8 = 10^w

Answers

Answer: 24

i got the same question

help me pleaseeeee!!!

Answers

Answer:

1. distribution property

2. subtraction property

3. division property

Step-by-step explanation:

Answer:

Try division property

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