The daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat. The table displays the fee for four different boat lengths. find the constant of proportionality and explain what it means in the context of this problem.
Answers
Answer:
Constant of proportionality = 2.25
What this value means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25
Step-by-step explanation:
We are told that the daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat.
Let D be represent the daily fee and let the lent be L.
D ∝ L
Let the constant of proportionality be k.
Thus;
D = kL
k = D/L
For length of 15 ft;
k = 33.75/15
k = 2.25
For length of 17 ft
k = 38.25/17
k = 2.25
For length of 20 ft
k = 45/20
k = 2.25
Foe length of 21 ft
k = 47.25/21
k = 2.25
This means the formula for the relationship between the daily fee and boat length is; D = 2.25L
Thus, D/L = 2.25
What this means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25
Related Questions
Expand (Explain your work)
(3p - 2)^2
Answers
Answer:
9p^2-12p+4
Step-by-step explanation:
Apply perfect square formula;
a=3p , b=2
Apply perfect square formula;
(3p)^2-2*3p*2+2^2
Simplify:
=9p^2-12p+4
1
Solve for x ( and V)
2
Show Your Work
14
48
X
Answers
Use pythagoras theorem
x² = 48² + 14²
x² = 2500
x = √2500
x = 50
A circle has a circumference of 9π m.
What is the area of this circle?
Answers
Answer:
20.25 m²
Step-by-step explanation:
hope this helps
Jan is 10 years younger than Michael. Jan is 65. How old is Michael?
HELP ME NOW!!
Answers
Answer:
75
Step-by-step explanation:
65 + 10 = 75
I need help thank you
Answers
Answer:
Select All
Step-by-step explanation:
they all are correct
find the solution to the system of equations? 4x-3y-z=3 , -3x+5y+z=9, x+2z=6
Answers
Answer:
is this the one?
Step-by-step exExplanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4Explanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4planation:
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 5% each year. One year after it was purchased, the value of the savings bond was $131.25. Find the value of the bond when Tyler's mom purchased it. The value of the bond when his mom purchased it was? Enter only the numeric value, no symbols or spaces. $
.
Answers
Answer:
125
Step-by-step explanation:
131.25 105
of 100
Cross multiply process
131.25x100=108x?
131.25x100=13125
13125=108?
13125/108=?
125=?
:)
find the length of the missing side
Answers
Answer:
x = 11.1
Its a right angle triangle with the values of its adjacent and hypotenuse given so cos is used.
g(x)= x3 + 3x2
x² + 3x² + x
f(x) = x + 1
Find g( f(-3))
Answers
Answer:
GCF = x 2
x2 (x + 3)
Hey could someone please help me with this really hard assignment is taking me forever. Thank you marking brainliest!
Answers
Answer:
Exercise 1: The length of the unknown leg is 4 inches.
Exercise 3: The following straws can be used to construct the triangle: b) [tex]3\,in[/tex], c) [tex]4.5\,in[/tex], d) [tex]6.5\,in[/tex], e) [tex]10\,in[/tex], f) [tex]13.5\,in[/tex]
Exercise 4: Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)
Step-by-step explanation:
Exercise 1:
Let suppose that triangle represented in the figure is a right triangle, the length of the missing leg is determined by Pythagorean Theorem:
[tex]y = \sqrt{l^{2}-x^{2}}[/tex] (1)
Where:
[tex]l[/tex] - Hypotenuse, in inches.
[tex]x[/tex] - Known leg, in inches.
[tex]y[/tex] - Unknown leg, in inches.
If we know that [tex]l = 11\,in[/tex] and [tex]x = 10\,in[/tex], then the length of the unknown leg is:
[tex]y = \sqrt{21}[/tex]
Since 4 is the least whole number closest to [tex]\sqrt{21}[/tex], then we conclude that the length of the unknown leg is 4 inches.
Exercise 3:
The range of possible lengths for the missing side of the triangle is represented by the following simultaneous inequality:
[tex]x + y > l > x-y[/tex] (2)
Where:
[tex]x[/tex] - Greater side, in inches.
[tex]y[/tex] - Lesser side, in inches.
[tex]l[/tex] - Missing side, in inches.
If we know that [tex]x = 8\,in[/tex] and [tex]y = 6\,in[/tex], then we have the following range of missing sides:
[tex]14\,in > l > 2\,in[/tex]
The following straws can be used to construct the triangle: b) [tex]3\,in[/tex], c) [tex]4.5\,in[/tex], d) [tex]6.5\,in[/tex], e) [tex]10\,in[/tex], f) [tex]13.5\,in[/tex]
Exercise 4:
Let check each pair to determine possible constructions by means of the inequality used in Exercise 3:
(i) [tex]x = 4\,in, y = 2\,in[/tex]
[tex]6\,in>l>2\,in[/tex]
Possible choices: 5 inches.
(ii) [tex]x = 5\,in, y = 2\,in[/tex]
[tex]7\,in > l > 3\,in[/tex]
Possible choices: 4 inches, 6 inches.
(iii) [tex]x = 6\,in, y = 2\,in[/tex]
[tex]8\,in > l > 4\,in[/tex]
Possible choices: 5 inches, 6 inches.
(iv) [tex]x = 10\,in, y = 2\,in[/tex]
[tex]12\,in > l > 8\,in[/tex]
Possible choices: None.
(v) [tex]x = 5\,in, y = 4\,in[/tex]
[tex]9\,in > l > 1\,in[/tex]
Possible choices: 2 inches, 6 inches.
(vi) [tex]x = 6\,in, y = 4\,in[/tex]
[tex]10\,in > l > 2\,in[/tex]
Possible choices: 5 inches.
(vii) [tex]x = 10\,in, y = 4\,in[/tex]
[tex]14\,in > l > 6\,in[/tex]
Possible choices: None.
(viii) [tex]x = 6\,in, y = 5\,in[/tex]
[tex]11\,in > l > 1\,in[/tex]
Possible choices: 2 inches, 4 inches, 10 inches.
(ix) [tex]x = 10\,in, y = 5\,in[/tex]
[tex]15\,in > l > 5\,in[/tex]
Possible choices: 6 inches.
(x) [tex]x = 10\,in, y = 6\,in[/tex]
[tex]16\,in > l > 4\,in[/tex]
Possible choices: 5 inches.
Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)
Answer: Give other user brainliest
Step-by-step explanation:
Brainliest for correct answer
For A(1, 1), B(4, 5), and C(4, 1), find all locations of a fourth point, D, so that a parallelogram is formed using A, B, C, D in order as vertices.
Answers
Answer:
isn't it that a parallelogram has 6 sides and these are 4?????????............
class 9
if (x+1) is a factor of x³+2x²-5x-6, then factorise it.
please give me the answer fast...
Answers
9514 1404 393
Answer:
(x +3)(x +1)(x -2)
Step-by-step explanation:
A graphing calculator is a good tool for finding factors fast. Each zero (p) gives rise to a factor (x -p).
The graph shows zeros at -3, -1, and 2, so your factorization is ...
(x +3)(x +1)(x -2)
There are 5 4/11 pounds of green apples. There are 3 2/3 times as many red apples. How many pounds of red apples are there?
15 8/33
19 2/3
1 3/16
3 1/16
Answers
Answer:
19 2/3
Step-by-step explanation:
5 4/11 * 3 2/3 = 19 2/3.
Please hurry I'm being timed....
Answers
Answer: [tex]2\sqrt{34[/tex]
Step-by-step explanation: The answer simplified is 2 radical 34
Find the area of the polygon. Note that the figure is not drawn to scale.
Need an answer ASAP! If possible, I will give Brainliest.
Answers
Answer:
66
Step-by-step explanation:
I’ll give brainliest
Answers
0.9 x 133 = 119.7
Yes
Lisa is planning for a party. She receives quotes from two party planners. Choice A quotes $18 per guest, plus $100 for renting the party hall. Choice B quotes $15 per guest, plus $160 for renting the party hall. Which inequality represents the number of guests Lisa can invite, if choice A were to cost less than choice B?
Answers
Answer:
x<20
Step-by-step explanation:
Building linear functions for each situation, the inequality is:
[tex]18x + 100 < 15x + 160[/tex]
------------------
Choice A:
$18 per guest.$100 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_a(x) = 18x + 100[/tex]
Choice B:
$15 per guest.$160 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_b(x) = 15x + 160[/tex]
A cost less than B, thus, the inequality is:
[tex]C_a(x) < C_b(x)[/tex]
[tex]18x + 100 < 15x + 160[/tex]
A similar problem is given at https://brainly.com/question/13270950
Solomon is wrapping presents for his 7 teachers. The box is shaped like the figure below. How much wrapping paper will Solomon need to cover all 7 boxes?
is the answer 907.2? i just need confirmation <3
Answers
Answer:
He said " How much wrapping paper will Solomon need to cover all 7 boxes" so its probably 7-10 i think
Step-by-step explanation:
haha 900 is too much :) good try
5 (x+9) = 3 (x +8) + 2x
Answers
Answer:
No solution
Step-by-step explanation:
Distribute
5x+45 = 3x+24+ 2x
Combine terms
45=5x-5x
45=0
This statement is not true so it is no solution
HELP I NEED HELP!! ASSIGNMENT DUE IN A FEW MINUTES. QUESTION IN PICTURE. WORTH 20 POINTS PLEASE HELP
Answers
Answer: the question is asking you to basically plot the point so you should plot the point by using desmos graphing calculator, and you should get the answer.
Step-by-step explanation:
The radius of a salad bowl is 8.9 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere and use 3.14 for ).
a. 3979.51 in2
b. 994.88 in2
c. 497.44 in2
d. 52.92 in2
Answers
Answer:
994.88 in2
Step-by-step explanation:
Use the surface area formula SA = 4(pi)(r2) which results in SA = 4(3.14)((8.9)2) = 994.88 square inches. Because the bowl represents half a sphere, it is necessary to divide that answer by 2 to get the surface of the bowl.
If radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that radius of a salad bowl is 8.9 inches.
We have to find the surface area of the bowl
The surface area of a half-sphere is given by the formula:
SA = 2πr²
where r is the radius of the sphere.
In this case, the radius of the salad bowl is 8.9 inches.
Substituting this value into the formula, we get:
SA = 2 x 3.14 x (8.9)²
SA = 497.44 square inches
Surface area =497.44 square inches
Hence, if radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ3
A monkey weighs 8.2 kilograms. How many grams does the monkey weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you. (2 points)
A. 8,200 grams
B. 820 grams
C. 82,000 grams
D. 82 grams
Answers
Answer:
8,200= A)
Step-by-step explanation:
Identify the type of solution from a graph.
Answers
Answer:
the answerrrr I believe is C
La máquina de una fábrica de tornillos produce el 63% de la producción diaria mientras que la máquina b produce el 27% la máquina tiene una probabilidad del 1.5% de producir tornillos defectuosos la máquina b produce con 3% de defectuosos
a) ¿cuál es la probabilidad de que al tomar un tornillo de la producción total y éste sea defectuoso?
b) ¿cuál es la probabilidad de que al tomar al azar un tornillo defectuoso éste haya sido producido por la máquina b?
Answers
The rectangle below represents the base of a rectangular prism.
The height of the rectangular prism is 12 centimeters. What is the volume of the rectangular prism?
1. 120cm3
2. 20cm3
3. 32cm3
4. 240cm3
Answers
Answer:
its 2. 20cm³ or 3. 32cm³
Step-by-step explanation:
I'm dont know if im right because the picture is asking for something different then the question
Plzz help me! I will mark brainiest!!
Create the equation of a quadratic function with a vertex of (-3, 7) and a y-intercept of -2.
Please put the answer in the form: ax^2 + bx + c
Answers
Answer:
mhuaaa
Step-by-step explanation:
papapapapapapapapa
10) y=-3x
-6x - 2y = -8
Help guys
Answers
Answer:
y=−9x and y=−4
Step-by-step explanation:
can I please get help?!
Answers
Answer:
The answer is d.
Step-by-step explanation:
x is "a number." When a variable and a number are next to each other, they are being multiplied. So it's 7 times a number. Then you take the product of that and add 2.
So, d is the correct answer. :D
Which statement is true?
0 3<-3
0 -333
-13 > -10
-10 > -13
I need help
Answers
Answer:
3<-3 FALSE
0>-333 True
-13>-10 false
-10>-13 true
Answer:
-10 > -13
Step-by-step explanation:
On a number line (I wanna see if this works lol)
|___|___|___|___|___|___|
-15 -14 -13 -12 -11 -10 -9
Describe the steps to solve using the Quadratic Formula:
Answers
Answer:
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.