Note: Consider we need to find the constant of proportionality.
Given:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
It costs $27 to rent the kayak for 5 hours.
To find:
The constant of proportionality.
Solution:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.
[tex]27=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{27}{5}=k[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].
In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the query, there is an error. This will find Angle YXZ and the angle YZX.
The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.
[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]
[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]
Explain why the slope of the line drawn in part C must be negative.
because it is a negative line in the graph
7x+5y=40 2x+4y=-4
Solve the system of equations
Answer:
{x,y}={10,−6}
Step-by-step explanation:
Answer:
x = 10, y = -6
Good Luck!
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?
Answer:
5x+3y=8.50 and 3x+2y=5.25
Step-by-step explanation:
because i got it correct
Answer:
b and c
Step-by-step explanation:
Which graph shows a linear function?
Which comparison is true? Use the number line to help you. A number line going from negative 6 to positive 6 in increments of 1. Negative 5.8 > Negative 5 and three-fourths 3.6 < StartFraction 37 Over 10 EndFraction 4 and one-third = 4.4 3.6 > 4.4
Answer: its (A) and sorry if its wrong and tell me if it is and if it is wrong the answer is (C)
Answer:
it is b
Step-by-step explanation:
x three * 101 three = 2001012three
Which graph below correctly shows the two lines on the same axes ?
Answer:
The one in the top left corner I THINK
Step-by-step explanation:
It is on baisically the same line and makes the most sense to ME.
DO NOT PICK ME IF YOU ARE NOT SURE!!!
If the circumference of a circle is 41.8 feet, find the diameter of the circle.
Answer:
= 6.65605095
Step-by-step explanation:
Plz mark brainliest!!!
Answer:
The screenshot is the correct answer
Step-by-step explanation:
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?
Answer:
32 cents? This is a weird phrased question!
Step-by-step explanation:
Please help me asap.......
Answer:
I'm pretty sure its A.
Step-by-step explanation:
There would be mirrors reflecting off of each other to get the light to reflect him in a different place
Which side of DEF is the longest?
Answer:
Letter B
Segment DF
Step-by-step explanation:
What is the image of (-9,6) after a dilation by a scale factor of 44 centered at the origin?
Answer:
(- 396, 264 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply each of the coordinates of the point by the scale factor, that is
(- 9, 6 ) → ( (- 9 × 44 ), (6 × 44 ) ) = ( - 396, 264 )
please help! thank you.
Answer:
The first one is right
Step-by-step explanation:
what is the range and domain of this question? im unsure
Answer:
Step-by-step explanation:
Domain is the independent variable (x)
Range is the dependent variable (y)
For each of these you would just put what x and y are equal to
For the Domain you would put:
0<=x<=3
<= is less than or equal to
For the Range you would put
1<=y<=4
The line is a function
Function A is represented by the equation y = 4x + 6.
Function B is a linear function that goes through the points shown in the
table.
x 1
3 4
ic
y 3 9 12 18
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 6.
The rate of change of function B is 3.
B. The rate of change of function A is 4.
The rate of change of function B is 6.
OC. The rate of change of function A is 6.
The rate of change of function B is 6.
D. The rate of change of function A is 4.
The rate of change of function B is 3
Answer:
D
Step-by-step explanation:
What is the slope of the line that contains these points?
x 12 13 14 15
y -4 , 2 8 14
Δ⊕∞∵∴α∞→←⇅≡∝αβΔωπ
Find the slope of a line parallel to each given line.
y= -1/4x -4
pls help asap
Answer:
Slope is -1/4 or -.25
Step-by-step explanation:
y=mx+b
slope is "m" and always has to be infront of x.
i need help on this one
Answer:
gfgfgfgfgfg
Step-by-step explanation:
Answer:
X= -4
Step-by-step explanation:
what's the answer to this math picture please?
Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
[tex] 3x + 20 = 8x - 5 [/tex] (substitution)
Collect like terms
[tex] 3x - 8x = -20 - 5 [/tex]
[tex] -5x = -25 [/tex]
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°
10. An electric scooter manufacturer estimates that the cost C in dollars) of producing x
scooters is given by C(x) = 600+ 0.05x + 0.0002x%. Find the production level, to the nearest
unit, that will minimize the average cost Č(x) per unit.
A. 1733 scooters
B.
1250 scooters
C. 600 scooters
D.
1500 scooters
Answer:
A. 1733 scooters
Step-by-step explanation:
To get x for minimum value of C bar, set derivative = 0
We Find our x.
C(x) = 600+ 0.05x + 0.0002x^2
We need average cos per unit
So divide by x both sides
C(x) / x = 600/x + 0.05x + 0.0002x
c(x)/c = Ç(x)
Therefore, Ç(x) = 600/x + 0.05x + 0.0002x
Now differentiate both side with x
dÇ(x)/dx = 600/x^2 + 0 + 0.0002
To find x for minimum Ç(x)
Set dÇ(x)/dx = 0 => -600/x^2 + 0.0002 = 0
=> x^2 = 600/0.0002
x^2 =3000000
x = √3000000
x = 1732.05
x = 1733
Do the organic prices vary directly with the conventional prices? If so, identify k. Does the total cost of organic apples vary directly with the number of pounds of organic apples purchased? If so, identify k.
THE RIGHT ANSWER IS (i just had to answer my own question so that other people can get it but just copy and paste this thanks :) )
no, this is not a direct variation
yes this is a direct variation with k=2.34
2
Answer:
1: No, this is not direct variation
2: Yes, this is direct variation with k= 2.34
Step-by-step explanation:
I’m Just Built Different
What similarity property, if any, can be used to show that the following two triangles are similar.
Answer:
The angles
Step-by-step explanation:
On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.
Hope this helps you
Quadrilateral ABCD is reflected over line segment y as shown, resulting in quadrilateral TURS.
Quadrilateral A B C D is reflected over line y to form quadrilateral T U R S.
If AD 5 in., AB = 7 in., DC = 4 in., and BC = 9 in., what is TU?
4 in.
5 in.
7 in.
9 in.
Answer:
7in
Step-by-step explanation:
Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units.
(I searched it up)
The length of TU is 7 in.
Hence, option C is correct.
What is quadrilateral?A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.
Given that,
Quadrilateral ABCD is reflected over a line y
Hence preimage = ABCD and image = TURS
After reflection,
The new position of A = T
New position of B =U
New position of C = R and
New position of D = S
By transformation properties,
For reflection the scale factor is 1 and hence AB will have the same length as TU
Since,
AB = 7 inches,
Therefore,
TU = 7 inches.
To learn more about quadrilaterals visit:
https://brainly.com/question/11037270
#SPJ7
Convert 5 gram in quintal
Answer:
5e-5
Step-by-step explanation:
I hope that is right
Please help look at the picture
Answer:
The correct answer would be D
A scientist walking through a forest recorded as integers the heights of 5 trees standing in a row. She observed that each tree was either twice as tall or half as tall as the one to its right. Unfortunately some of her data was lost when rain fell on her notebook. Her notes are shown below, with blanks indicating the missing numbers. Based on her observations, the scientist was able to reconstruct the lost data. What was the average height of the trees, in meters?
Answer:
A) 22.2
Step-by-step explanation:
I took AMC 8 and got it right. ^^
What is the value of x?
1. 142
2. 71
3. 152
4. 76
Answer:
142
Step-by-step explanation:
Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the best expression to estimate the quotient using front-end estimation?
a) -21÷4
b) -21÷5
c) -20÷4
d) -20÷5
p.s, Daily question! What's your favorite song?
Answer: -20 divided by 4.
Step-by-step explanation: I'm also doing this. I also don't really want to answer daily.
Answer: -20/4 (OPTION C)
Step-by-step explanation:
you have to round then divide! i know this is late but i hope it will help others! i just did the quiz on edge so i figured i would let everyone know that option c was correct! BRAINLIEST?
Find the value of the variable (simplify your answer)
Answer:
y=70.71
Step-by-step explanation:
Refer to the picture that given
Answer:
70.71
EXPLANATION
sin45° =50/y
This implies y=50/sin45