The cost of renting a canoe is $8 for the first hour plus another $3 for each
additional hour. Which of the following represents this situation, where Cis
the total cost of renting a canoe for h hours?
Answers
The option that represents the situation correctly is C. C = 3h + 8 is incorrect because it doesn't take into account the fixed cost of $8 for the first hour.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
The cost of renting a canoe is a fixed $8 for the first hour plus $3 for each additional hour. This can be expressed as:
C = 8 + 3(h - 1)
Where h - 1 represents the number of additional hours beyond the first hour. Simplifying this equation, we get:
C = 3h - 3 + 8
C = 3h + 5
Therefore, the option that represents the situation correctly is C.
C. C = 3h + 8 is incorrect because it doesn't take into account the fixed cost of $8 for the first hour.
A. C = 3(h-1) + 8 is also incorrect because it doesn't add the fixed cost of $8 for the first hour.
D. C = 8h + 3 is incorrect because it incorrectly assumes that the $3 additional charge is applied to the first hour as well.
To learn more about algebra from the given link:
https://brainly.com/question/24875240
#SPJ1
Related Questions
I need steps to find the equation of the inverse of the function f(x) = log2 (9x).
Answers
Answer:
f⁻¹(x) = 2ˣ / 9
Step-by-step explanation:
f(x) = log₂ (9x)
y = log₂ (9x)
swap y and x: x = log₂ (9y)
solve y: 9y = 2ˣ y = 2ˣ / 9
f⁻¹(x) = 2ˣ / 9
The equation of the inverse of the function f(x) = log2 (9x) should be considered as the [tex]f^{-1}(x) = 2^x / 9[/tex]
Calculation of the equation of the inverse of the function:Since
f(x) = log₂ (9x)
So,
y = log₂ (9x)
Now
swap y and x so x = log₂ (9y)
And, now we have to solve for y
9y = 2ˣ
y = 2ˣ / 9
f⁻¹(x) = 2ˣ / 9
Hence, The equation of the inverse of the function f(x) = log2 (9x) should be considered as the [tex]f^{-1}(x) = 2^x / 9[/tex]
Learn more about equation here: https://brainly.com/question/8208446
A family goes to an amusement park adult tickets cost $21 children under 10 years of age pay $15 write an algebraic expression for the total cost then find the total cost of 4 adult tickets and 3 children's tickets
Answers
Answer:
$129
Step-by-step explanation:
Let us represent:
Cost Adult tickets = x
Cost Children's tickets = y
The total cost of ticket = C =
A family goes to an amusement park adult tickets cost $21 children under 10 years of age pay $15
C = $21 × x + $15 × y
C = 21x + 15y
The total cost of 4 adult tickets and 3 children's tickets is calculated as:
C = 21 × 4 + 15 × 3
C = 84 + 45
C = $129
PLEASE HELP LIKE ASAP:
Find the length of r
A.53.9
B.94.9
C.101.4
D.105.6
Answers
Answer:
B = 94.9
Step-by-step explanation:
If we know 2 of the 3 angles of the triangle, we can estimate the base of the triangle as 90ft, after calculation, if the base was 90ft, side r would be 71.97584 which rounds to 94.9.
Result
Obtuse Scalene Triangle
Side r = 71.97584
Side 53* = 50.39643
Side 34* = 90
C=93°B=34°A=53°b=50.396a=71.976c=90
What is the definition of acre
Answers
Answer:
The definition of Acre is a unit of land area equal to 4,840 square yards (0.405 hectare). :)
Step-by-step explanation:
Answer:
a unit of land area equal to 4,840 square yards
Step-by-step explanation:
James and Eron are going on a road trip. Eron drove the first 180 miles of their trip. James drove the next 150 miles of their trip. They decided to drive the same amount of hours each for the rest of the trip. Eron drove at a speed of 60 miles per hour when he drove. James drove at a speed of 55 miles per hour when he drove.Let h represent the number of hours driven by each person.
Answers
Question seems incomplete but some explanation could help
Answer and explanation:
Distance travelled = speed × time
We know the speed for each driver:
Eron drove at 60 miles per hour
James drove at 55 miles per hour
We know they both drove same amount of time = h
Therefore Eron's distance travelled = 60 miles per hour × h = 60h
Jame's distance travelled = 55 miles per hour × h =55h
Total distance travelled for the rest of the trip = 60h + 55h
Ill give brainliest !!!
Solving quadratic equations - factoring.
Factor to solve each problem 1-3
Answers
Answer:
1) 1 1/2 ft.
2) 12 m.
3) 6 ft.
Step-by-step explanation:
1, 2) If the area is the same, then the sides are exactly half that of the surrounding square.
3) 9^2 = 81 ft^2 (or sqrt(81) = 9), if we take this 9 and subtract the 3 ft from it we will get the original side lengths.
Martin earn the following scores on his last five test. What is the interquartile of his course
Answers
Answer:
18
Step-by-step explanation:
The interquartile range is the middle 50% of the data.
To find the interquartile range, we must first find the lower and upper quartiles.
In this case, the lower quartile is 76.5, and the upper quartile is 94.5.
Subtracting 76.5 from 94.5 gives us the answer of 18.
Let me know if this helps!
A recipe requires 6 tomatoes to make 8 servings. What is the number of tomatoes needed to make 20 servings?
Answers
Answer:
15 tomatoes
Step-by-step explanation:
6:8 = 3:4
multiply each side by 5
= 15/20
so 15 tomatoes
hi, pls help ry so much+20
Answers
WOULD YOU PLEASEEE HELP MEEEE
Answers
Answer:
x ≈ 6.6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 27°
Opposite Leg = x
Adjacent Leg = 13
Step 2: Solve for x
Substitute [tangent]: tan27° = x/13Isolate x term: 13tan27° = xRearrange: x = 13tan27°Evaluate: x = 6.62383Round: x ≈ 6.6fatima has 6 boxes each containing 50 lemons. if the price of each lemon is 50 cent and all are sold how much money did she collect
Answers
Answer:
she would have gotten 300 cents
Answer:
$150
Step-by-step explanation:
hope this helps plz mark brainliest
If XY = 48. XZ = 36, JQ = 7, and the radius of the circumscribed circle of AXYZ is 25, find QK.
Answers
Answer:
17.3
Step-by-step explanation:
I had a test and this is what they had as the answer.
given an equation y=3x-1 copy the chart and fill in the gaps
Answers
y= 2
y= 5
x= 1
x=3
x=1/3
What is the length of the missing leg?
17 mm
15 mm
Answers
Answer:
17 mm + 15mm = 32
Step-by-step explanation:
Rudy and Elizabeth both deliver the daily read newspaper to homes in different neighborhoods Rudy's delivered 220 newspapers and 55 minutes Elizabeth dead orbit 135 newspapers in 45 minutes who delivered newspapers at a faster rate
Answers
Answer:
Elizabeth because 45 is greater than 55 min.
Step-by-step explanation:
Answer:
RUDY
Step-by-step explanation:
i had this on ixl and I got it right
y = x + 6
y=-x-4
Graph each equation then find a solution show your process.
Answers
Answer:
(x,y) = (-5,1)
Step-by-step explanation:
USES SUBSTITUTION METHOD
Solving Steps:
x + 6 = -x -4 (Solve the equation)
x = -5 (Substitute the value of x)
y = -(-5) - 4 (Solve the equation)
y = 1 (Substitute the value of y)
Answer: (x,y) = (-5,1)
I hope this helped!!
The average age of staff in the maths department is 40.
There are 7 members of staff (Jill, Nicky, Wendy, Cathy, Cerian, Alan and Andy).
The average age of Jill, Nicky and Wendy is 41.
The average age of Andy, Alan and Cathy is 43.
How old is Cerian?
Answers
Answer:
Cerian is 28 years old
Step-by-step explanation:
The given parameters are;
The average age of the staffs in the mathematics department = 40
The number of staffs in the department = 7
The average age of Jill, Nicky and Wendy = 41
The average age of Andy, Alan and Cathy = 43
From the given parameters, we have;
The average age of the staffs in the mathematics department = (The sum total of the ages of the members of the math department)/(The number of staffs in the department)
Therefore;
40 = (The sum total of the ages of the members of the math department)/ (7)
From which we have;
The sum total of the ages of the members of the math department = 40 × 7 = 280
Which gives;
Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age = 280 years
The average age of Jill, Nicky and Wendy = 41
Given that Jill, Nicky, and Wendy make up 3 of the 7 members of staffs, we have;
The average age of Jill, Nicky and Wendy = (The sum total of the ages of Jill, Nicky, and Wendy)/(The number of staff Jill, Nicky, and Wendt make)
Therefore;
The sum total of the ages of Jill, Nicky, and Wendy = 41 × 3 = 123
Which gives;
Jill's age + Nicky's age + Wendy's age = 123 years
Similarly, the sum total of the ages of Andy, Alan, and Cathy = 43 × 3 = 129
Which gives;
Andy's age + Alan's age + Cathy's age = 129 years
Therefore;
Cerian's age = (Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age) - (Jill's age + Nicky's age + Wendy's age) + (Andy's age + Alan's age + Cathy's age)
∴ Cerian's age = 280 years - 123 years - 129 years = 28 years
A barrel contained 50 Gallons of oil.Oil leaked out of the barrel at a rate of 5 gallons every 2 days.How many days did it take for all 50 gallons of oil to leak out of the barrel?
Answers
Answer:
20 days
Step-by-step explanation:
50 divided by 5 = 10
10 times 2 = 20
Write an equation in slope-intercept form for the line with slope 1/5
and y-intercept 5.
Answers
Answer:
y=1/5x+5
Step-by-step explanation:
Slope-intercept form is written y=mx+b.
y- needs to be by itself in this form.
m- the slope.
x- always to the right side of the slope, or m.
b- y-intercept.
Now that we know this, all we have to do is plug in the numbers we have. So when we plug this in, the equation looks like this:
y=1/5x+5
Hope this helps you and have a great day :3
Select al expressions equivalent to -81x + 27.
A А
-3(-27+ +9)
B.
-90-91 – 3)
C.
3(-27x +9)
D.
1-9(92 - 3)
E
-3(27x – 9)
Answers
Christina and her 2 friends spent $25.02 at there favorite restaraunt. If they split the cost equally about how much will they each pay?
Answers
Step-by-step explanation:
Simply divide $25.02 by three, since three people are splitting the cost.
Pls help am about to fail....
Answers
Answer:
66
Step-by-step explanation:
12x-30=6x+18
12x-6x=18+30
6x=48
x=8
Plug back In:
12(8)-30
96-30
66
the sum od teo number is 14 thier diffrence is 1.5
Answers
Answer: 7.75 and 6.25
Step-by-step explanation:
Given statements: If a shape is a parallelogram, then the opposite sides are parallel. A rhombus is a parallelogram. Which is a logical conclusion from the given statements?
Answers
Answer:
If a shape is a parallelogram, then the opposite sides are parallel.
Step-by-step explanation:
If the simple interest on $1,000 for 3 years is $240 , then what is the interest rate? The rate is nothing %.
Answers
Answer:
0.0067/ month interest rate and yearly is 0.08%
Answer:
the answer is 8
Step-by-step explanation:
no prob
For the equation
y = 2(.5^x)
Which of the following statements about the graph is true?
Select one:
O The graph has an asymptote at y=.5
O The graph has an asymptote at y=2
O The graph is increasing
O The graph is decreasing
Answers
At a conference, there are 112 math teachers and 14 science teachers. Write the ratio of math teachers to science teachers in simplest form.
Answers
It's true!
Does anybody know how to do this?
Answers
Step-by-step explanation:
16/64= 1/4
4/16=1/4 so your answer is 1/4
I need help on this IXL if someone could help.
Answers
Simplify: |x+5| if x =-8
Answers
|-8+5| >> 8-5 >> -3
|-3| = 3
