To find when the job cost is the same for both companies, equate their cost equations. By solving 100 + 15h = 75 + 17h, we find that at 12.5 hours the job would cost the same no matter which company is used.
To determine when a job costs the same for both landscape companies, we need to equate the two cost equations they offer and solve for the number of hours.
Let h be the number of hours the job takes. The first company's cost can be represented as C1 = 100 + 15h, and the second company's cost as C2 = 75 + 17h. To find the number of hours when both companies charge the same amount, we set C1 = C2:
100 + 15h = 75 + 17h.
Rearrange the equation to solve for h:
100 - 75 = 17h - 15h
25 = 2h
h = 12.5 hours.
So, a job that takes 12.5 hours would cost the same amount whether it is done by the first company or the second company.
Nathan and Sydney start out together on a bike trail that is 24 miles long. Nathan bikes at 88 miles per hour while Sydney bikes at 12 miles per hour. Which statement is true?
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
what is 20x34 equal.
What is -6 over 0 equal to?
an elevator traveled from the 10th floor to the 2nd floor in 6 seconds. what was the rate of the elevator in floors per second
The elevator travels 4/3 levels per second, or floors per second.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, an elevator traveled from the 10th floor to the 2nd floor in 6 seconds.
Elevator cover total distance = 10 -2 = 8 floors
since it took elevator 6 seconds
thus
elevator travels in 6 seconds = 8 floor
elevator travels in 1 seconds = 8/6 =4/3 floor
Therefore, the rate of the elevator in floors per second is 4/3 floor per seconds
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ5
Order the number from least to greatest. 1/2, 0.55, 5/7. TELL ME FAST!!!
Do you think a bar model would be a good model for converting miles to feet
it total revenue is $3000, cost of goods is $1500, and total selling expenses is $500 what is the Profit for the business
Can 9/12 be simplified
How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters
125 three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.
What is Combination?A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.
We need to find three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.
The given letters are FGHIJ.
As we need to find three letter words.
This can be done by using 5³ as the repetitions are allowed.
Five power cube number of three words can be formed.
5×5×5
One hundred twenty five.
125
Hence, 125 three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.
To learn more on Combinations click:
https://brainly.com/question/19692242
#SPJ3
8/9, 85%, 0.92 least to greatest
120% of 33 is what number?
The ratio of the ages of three children is 2:4:5. The sum of their ages is 33. What is the age of each child?
Step-by-step explanation:
let the given ages be 2x , 4x and 5x.
Here,
2x + 4x +5x =33
or,x = 33/ 11
or,x =3
Hence,
2x =2 (3)=6years
4x=4(3)=12years
5x=5(3)=15years
Answer:
6,12,15
Step-by-step explanation:
Let the ages be 2x,4x,5x
Given
2x+4x+5x=33
11x=33
x=3.
2x=2×3=6
4x=4×3=12
5x=5×3=15
Simplify 2(6x+21)+14
A race car can travel 615 miles in 3 hour.A small jet can travel 575 miles in 2.5 hours.write and solve an equation to determine if the car or jet travels at a faster rate
To compare the rates of travel of a race car and a small jet, divide the distance traveled by the time taken for each. The small jet travels at a faster rate than the race car.
Explanation:To determine which travels at a faster rate, we need to compare their rates of travel. The rate of travel is found by dividing the distance traveled by the time taken. Let's denote the rate of the race car as 'r1' and the rate of the small jet as 'r2'.
For the race car, we have r1 = 615 miles / 3 hours = 205 miles per hour.
For the small jet, we have r2 = 575 miles / 2.5 hours = 230 miles per hour.
Comparing the rates, we see that the small jet travels at a faster rate than the race car.
Learn more about Comparing Rates of Travel here:https://brainly.com/question/33598980
#SPJ2
What is an intersection point?
the price of a fan is 15 dollar the price is 27% lower than last week
converting percent into decimals
Percent means per 100 so 40% 40 per 100, or simply 40/100
When we divide 40 by 100 we get 0.4 which is a decimal number.
to convert from percent to decimal you have to divide by 100, and then remove the % sign.
is the product of a fraction less than 1 and a whole number greater than or less than the whole number? explain
Multiplying a fraction less than 1 with a whole number produces a result that is less than the original whole number because you are taking a portion of it.
The product of a fraction less than 1 and a whole number is always less than the original whole number. To understand why, consider the fraction as a part of the whole. If you multiply the whole by a part less than the whole (a fraction less than 1), you're essentially taking only a portion of it, which must logically be smaller than the whole itself.
Simplify the following expression by combining like terms: 2x⋅2x⋅7x
11x
4x+7x
28x3
28x
Simplify: (13x + 10y) - (6x - 7y) +5x
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip? $20.00
3 gallons cost 10.50
20 gallons / 3 = 6 2/3
6 2/3 * 10.50 = 70
they need $70 for the trip
How do you solve this using the elimination method of systems of equations?
25x - 5y= 30
- 25x + 10y=15
------------------
-5y-(+10y)=30-15
-5y-10y =15
-15y= 15
divide both sides by -15
y= -1
finding the value of x by subs. y=-1
into equation 1
5x-(-1)=6
5x +1=6
5x=6-1
5x=5
divide both sides by 5
x= 1
A school policy requires that there be at least one chaperone for every 8 students on a field trip. How many chaperones are required for a field trip with 67 students?
the are of a rectangular tablecloth is 4 1/6 square meters. the width of the tablecloth is 1 1/4 meters. what is the length of the table cloth?
The length of the rectangular table cloth is [tex]\mathbf{ 3\dfrac{1}{3} m}[/tex]
What is a rectangle?A rectangle is a plane figure that has an equal size of the opposite side. These sides are called the length and the width.
Mathematically;
The area of the rectangle = Length × width
From the parameters given:
Area of a rectangle = 4 1/6 square meters.The width = 1 1/4 metersUsing the formula for the area of a rectangle, we have:
[tex]\mathbf{4 \dfrac{1}{6} m^2 =length \times 1 \dfrac{1}{4} \ m }[/tex]
[tex]\mathbf{ \dfrac{25}{6} m^2 =length \times \dfrac{5}{4} \ m }[/tex]
Multiply both sides by [tex]\mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}[/tex]; we have:
[tex]\mathbf{ \dfrac{25}{6} m^2 \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}} =length \times \dfrac{5}{4} \ m \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}}[/tex]
[tex]\mathbf{ length = \dfrac{25}{6} m \times \mathbf{\dfrac{4}{5}} }[/tex]
[tex]\mathbf{ length = \dfrac{5}{3} m \times \mathbf{\dfrac{2}{1}} }[/tex]
[tex]\mathbf{ length = \dfrac{10}{3} m}[/tex]
[tex]\mathbf{ length = 3\dfrac{1}{3} m}[/tex]
Learn more about the area of a rectangle here:
https://brainly.com/question/2289467
Solve the following equation: -3 = 1 3/5 + m
Which is an inccorect rounding of 53.864
Find 0.001 more than 18.852.
n - (-24) =12 find the value
Suppose △PKN≅△BGH△PKN≅△BGH. Which other congruency statements are correct? Select each correct answer. △NKP≅△HBG△NKP≅△HBG △KPN≅△BHG△KPN≅△BHG △NPK≅△HBG△NPK≅△HBG △KNP≅△GHB
Answer:
△NPK≅△HBG; and △KNP≅△GHB
Explanation:
Using the given congruence statement, we can determine corresponding pieces of the triangles:
P corresponds to B; K corresponds to G; and N corresponds to H.
This means that △NKP≅△HGB, not HBG.
△KPN≅△GBH, not BHG.
△NPK≅△HBG; this is correct.
△KNP≅△GHB; this is correct.
Answer: k12 answers have a nice day!!!
Step-by-step explanation: