Easton is deciding between two landscaping companies for his place of business.
Company A charges $25 per hour and a $150 equipment fee. Com piny B charges $35
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge fort hours of landscaping. Write an equation for each situation, in terms oft,
and determine the number hours, t, that would make the cost of each company the
same.

Answers

Answer 1

Answer:

i. A = $25 t + $150

ii. B = $35 t + $100

iii. Number of hours = 5

Step-by-step explanation:

For company A:

A = $25 t + $150

where A is the amount charged and t is the number of hours of landscaping.

For company B:

B = $35 t + $100

where B is the amount charged and t is the number of hours of landscaping.

When the time  is 5 hours, then:

i. A = $25 t + $150

     = $25 (5) + $150

     = $125 + $150

A = $275

ii. B = $35 t + $100

      = $35(5) + $100

      = $175 + $100

B = $275

Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.


Related Questions

Which of these data sets is symmetrical?

A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43

B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43

c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43

D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43

Answers

Answer:

B is the correct answer..

Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.

Answers

Answer:

The surface area is 12 square yards.

Step-by-step explanation:

Is 12 yards big boss don’t worry

8) Cameron plans to purchase his graduation pictures. The prints cost at least $192 since there are add
ons he may purchase. If he saves $32 per week, write and solve an inequality to determine how many
weeks it will take for Cameron to purchase his graduation pictures.
I

Answers

Answer:

I dont know how to write the answer but i hope my math helped.

Step-by-step explanation:

192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.

Answer:

32x>192

Step-by-step explanation:

I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)

The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK

Answers

Step-by-step explanation:

supplentary means they add to 180

so you can make the formula 180 = 10x + 80

then solve for x

Answer:

x = 10

Step-by-step explanation:

Supplementary angles add up to equal 180°

Thus, 10x + 80 = 180

Now that we have identified the equation we solve for x

10x + 80 = 180

step 1 subtract 80 from each side

80 - 80 cancels out

180 - 80 = 100

we now have 100 = 10x

step 2 divide each side by 10

100 / 10 = 10

10x / 10 = x

we're left with x = 10

What is the
average rate of change between:
x = 1 and x = 2?
x = 2 and x = 3?
X = 3 and x = 4?

Answers

The average rate of change is 1.

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

1st one

Step-by-step explanation:

because it is

Answer:

Option 1

Step-by-step explanation:

In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.

The second one is the first one reversed, so it's ordered from greatest to lowest.

The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.

Which iwo operations are needed to write the expression that represents four times the difference of a number and
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
O division and addition




J


Answers

Answer:

multiplication and subtraction

Step-by-step explanation:

4(n-3)

A number is five less than twice another number

Answers

Answer:

n= 2x-5

Step-by-step explanation:

The Expression for the statement is x= 2y -5.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

A number is five less than twice another number.

let the number be x and the another be y.

So, the mathematical Expression is

five less than twice another number.

= 2y -5

So, the expression is

x= 2y -5.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?

Answers

5:6?
Is this it I’m not sure

Shamus owes his parents $162. He pays them 60% of the $45 he earns as a soccer referee each week. How many weeks will it take Shamus to pay back all of the money he owes his parents?

Answers

60% of 45 would be 27

He pays his parents $27 each week

Divide 162 and 27

162/27=6

It will take 6 weeks for him to pay back his parents

Identify the missing measures

Answers

Answer: The value of the question mark should be 28 Since Angles are vertically Opposite

Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams

Answers

I think it’s Venn diagrams, sorry if im wrong.

Answer:

Venn diagrams

Explanation:

A Venn diagram is a widely used diagram style that shows the logical relation between sets.


P
13pls answer and will mark brainliest​

Answers

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12

Answers

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

Find the value of x to the nearest tenth

Answers

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Please help me please

Answers

Answer:

5

Step-by-step explanation:

the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.

lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities

Answers

Answer: 19/28

Step-by-step explanation:

9/28 participate, so that means that ? dont participate.

28/28 = 1 whole

28 - 9 = 19

so 19/28 students do not participate in after school activities.

please answer the question! i will give brainliest!!!!!!

Answers

Answer:

B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:

A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32

Answers

There would be 32 possible combinations.

Please help its urgent will give brainiest and show your work

Answers

Answer:

r = 28 ft

Step-by-step explanation:

In a right triangle we have:

45² + r² = ( 25 + r )²

2025 + r² = 625 + 50r + r²

1400 = 50r

r = 28 ft

If you can help me with these 4 questions I'll give brainliest :))​

Answers

Answer:

Mode: 86 ( a number that's repeated the most in the data set)

Range: 47 (Largest number subtracted by the smallest number in the data set)

Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)

Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).

Hope this helps!

100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

2. Translate the new algebraic expression you created in Question 1 to a verbal expression.

Part 2: Writing Equivalent Expressions

3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.

a. Use either the commutative property or combine like terms to create an equivalent expression.

b. Use the distributive property to create an equivalent expression.

4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.

Part 3: Finish the Story

5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Step-by-step explanation:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.

Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.

Your verbal expression is good. It reflects your chosen equation.

Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:



Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:



Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.


Part 3: Finish the Story

Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Answers

Answer:

Step-by-step explanation:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.  

Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.

Your verbal expression is good. It refrects your chosen equation.

Part 2: Writing Equivalent Expressions

Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:

25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:

25(10j + 18 + 5j) = 250j + 450 + 125j

Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Now we can subsitute, say 7 for j.

For the first expression, we have:

25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)

= 25(70 + 35 + 18) = 25(123) = 3,075.

For the second expression, we have:

250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.

Thus, we can see that both expressions are equivalent.

Part 3: Finish the Story

Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Sarah found 3 + 7 = 10 shark teeth.

John found 10 / 2 = 5 shark teeth.

The total money they earned is $5 x 15 = $75.

1) an expression that looks similar would be (could be anything)

4(5j+8+4j)

2) It would become:

four times the sum of five times a number, eight, and four times the same number

3)  equivalents would be 4(9j+8)

or:

4(5j)+4(8)+4(4j)

4) say J=1 for simplicity

4(9+8)

=4x17

=68

next one would be:

4x5+4x8+4x4

=20+32+16

=68

ok, this is correct.

5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Step-by-step explanation:

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1

A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}

Answers

9514 1404 393

Answer:

  C.)  (3, 2)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (x +2y) +(x -2y) = (7) +(-1)

  2x = 6 . . . . . simplify

  x = 3 . . . . . . matches choice C

if a=1 and b=2 what is the value of a²+b²?​

Answers

Answer:

1^2+2^2=5

Step-by-step explanation:

Answer is 5..

A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism

Answers

Answer:

answer: its c 108

Step-by-step explanation:

for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...

24 + 32 + 40 + 12 = 108 Hope this makes sense to you!

Help pls Show work if needed

Answers

Answer:

8a) false

8b) true

8c) true

8d) false

which is it? please help me and i will give brainliest

Answers

Answer: A, 1/2

Step-by-step explanation:

he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs

Answer:

it is 1/2 i.e. the first option

this is simple ratio method;

white : brown

      2 : 1

       1 : x

x = 1/2 cups

Hope this helps!

I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)

The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a

Answers

Answer:

Step-by-step explanation:

http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf

You can find it in this site

Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1

Answers

I think b but not sure :)

Answer:B

Step-by-step explanation:

just took the test

A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price​

Answers

Answer:

250 rupees

Step-by-step explanation:

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