A dance studio requires each dancer to pay a registration fee plus an hourly rate for all lessons. If the total cost, y, of a dancer's lesson is modeled by the equation y = 25x + 50, how could the y-intercept be interpreted?
Answer:
(0,50)
Step-by-step explanation:
Given the total cost of a dancers lesson modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.
Substitute x = 0 into the expression
y = 25x + 50
y = 25(0) + 50
y = 0+50
y = 50
Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50
The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?
Answer:
The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant
y/x ≠ Constant
Step-by-step explanation:
The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;
x; 1, 2, 3, 4, 5
y; 25, 40, 55, 70, 85
The rate of change of the data in the table is given by the following formula;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Between the 1st and the 3rd point, we have;
m = (55 - 25)/(3 - 1) = 15
Between the 1st and the 5th point, we have;
m = (85 - 25)/(5 - 1) = 15
Therefore, the rate of change of the y values per unit change of the x-value is 15
Therefore, the "x" and y-values have a linear relationship
However, for a proportional relationship, we have;
y/x = Constant
At the 1st point, we have;
25/1 = 25
At the 3rd point, we have;
55/3 = 18.[tex]\overline 3[/tex]
∴ y/x is not constant and the the data in the table does not represent a proportional relationship.
What appears to be the domain of the part of the exponential function graphed? A) x ≤ 1 B) h(x) ≤ 1 C) x ≤ 5 D) h(x) ≤ 5
PLS HELP MEEE I WILL GIVE BRAINLY THINGY
Answer:
125
Step-by-step explanation:
5 x 5 = 25
25 x 5 = 125
Answer:
the value of 5³ is 125 all you have to do is 5×5×5=125
What is the volume of the triangular prism below?
Answer:
15cm
Step-by-step explanation:
Answer:
30 cmcubed
Step-by-step explanation:
hope it helps your friend if I'm wrong tell i will try it out again good day.
What is the distance between (-3, 5) and
(-7,5)
the distance is 4 units down
Answer:
The distance between these two coordinates is 4.
Step-by-step explanation:
[tex]x_{2} - x_{1}[/tex]
[tex]y_{2} - y_{1}[/tex]
- 7 - (-3) = 4
5 - 5 = 0
4 + 0 = 4
PLZ HELP NOW IM FAILING THIS CLASS (work not needed... just answers)
Answer:
1.D
2.B
Step-by-step explanation:
question 1
-2(2)²+1/3(2)
-7/6
question 2
(-4x-2)(2x)
-8x²-4x
plz help me pls
8 hr = _________ min
30 min = _________ s
15 hr = ___________ min
5 yr = ____________d
7 d = ____________ hr
24 hr = __________ min
600 s = __________ min
60,000 min = __________ hr
Answer:
8hr=480min
30min=1800sec
15hr=900min
5yr=1825d
Step-by-step explanation:
A window in the shape of a parallelogram has a base of 34 inches and a height of 63 inches. What is the area of the window?
Answer:
2142 inches^2
Step-by-step explanation:
parallelogram's area: base * height
so, 34*63 = 2142
CAN SOMEONE PLEASE HELP ME!!!!!
9514 1404 393
Answer:
$7.00 per week
Step-by-step explanation:
The balance at the end of week 1 is $39-32 = $7.00 higher than at the start. The rate of change is $7.00 per week.
Answer:
$ 7.00 per weekStep-by-step explanation:
#CarryOnLearningMr.Rosado is buying a jacket that regularly cost $40. It is on sale for 20% off. The store also adds a tax of 8%. After tax, how much does Mr.Rosado pay for the jacket?
Answer:
$11.20
Step-by-step explanation:
Answer:
$34.56
Step-by-step explanation:
32x.08=2.56
40x.2=8
40-8=32
32+2.56=34.56
Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?
Answer:
$2,560
Step-by-step explanation:
Just multiply 256 by 10, and you get his money earned.
A bag contains 8 red M&Ms, 13 blue M&Ms, 4 brown M&Ms, and 8 green M&Ms. An M&M is picked at random from the bag. What is the probability of picking: A Red M&M:
Given:
Number of red M&Ms = 8
Number of blue M&Ms = 13
Number of brown M&Ms = 4
Number of green M&Ms = 8
An M&M is picked at random from the bag.
To find:
The probability of picking a red M&M.
Solution:
We have,
Number of red M&Ms = 8
Total number of M&Ms [tex]= 8+13+4+8[/tex]
[tex]=33[/tex]
So, probability of picking a red M&M is:
[tex]\text{Probability}=\dfrac{\text{Number of red M&Ms}}{\text{Total number of M&Ms}}[/tex]
[tex]\text{Probability}=\dfrac{8}{33}[/tex]
Therefore, the probability of picking a red M&M is [tex]\dfrac{8}{33}[/tex].
what is 15 2/9 as a whole number
Answer: Unless you round it to a whole number the answer would be 15.2 but if you round to a whole number it would just be 15 lol.
Guys pls help me!!!!!
Answer:
13 1/5 Kilometers
Step-by-step explanation:
you times 4 1/2 by 3 because if she runs 4 1/2 in a third of an hour then she runs 4 1/2 3 times every hour.
Please help
solve the system of equations
Answer:
(x, y) = ( 5, 6)
(x, y) = ( - 1, 0)
Step-by-step explanation:
[tex] \begin{cases} y + x^2 - 5x = 6\\\\ y - x = 1\implies y = x + 1\end{cases} [/tex]
Plug [tex] y = x +1 [/tex] in the equation [tex] y + x^2 - 5x = 6[/tex] we find:
[tex] x + 1 + x^2 - 5x = 6[/tex]
[tex] x^2 - 4x - 5=0[/tex]
[tex] x^2 - 5x +x- 5=0[/tex]
[tex] x(x - 5) +1(x- 5)=0[/tex]
[tex] (x - 5) (x+1)=0[/tex]
[tex] (x - 5) =0, \: (x+1)=0[/tex]
[tex] x =5, \: x=-1[/tex]
[tex] When \:x =5 \implies y =5+1=6 [/tex]
(x, y) = ( 5, 6)
[tex] When \:x =-1 \implies y =-1+1=0 [/tex]
(x, y) = ( - 1, 0)
Can someone help with this question??
D 11 1/4
Step-by-step explanation:
3/4 + 1 1/2 is 2 1/4
2 1/4 x 5 is 11 1/4
what the answer of ½ ÷ ½
Answer:
its 1
Step-by-step explanation:
Help me find the volume
Answer:
volume formula: b*w*h
(base times width times height)
Step-by-step explanation:
here, we can see the base is 2mm, the length is 2mm, and the height is 3mm.
so, if we put them in as the base, width, and height, we get
2*2*3
then, multiply!
2*2*3
= 4*3
= 12
so, the answer is 12 cubed millimeters.
The graph below shows the amount of money Johnny saved for 12 months. Which amount is closest to Johnny's rate of saving over those 12 months?
A. $14.00 per month
B. $13.75 per month
C. $15.00 per month
D. $7.14
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
Johnny's rate of saving over the 12 months is $14 per month.
Option A is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph, we have the following coordinates.
= (5, 70)
This means after 5 months $70 is saved.
= (10, 140)
This means after 10 months $140 is saved.
Johnny's rate of savings.
= Change in the savings amount/change in the months
= (140 - 70) / (10 - 5)
= 70/5
= $14
Thus,
Johnny's rate of saving over the 12 months is $14 per month.
Option A is the correct answer.
Learn more about coordinates here:
https://brainly.com/question/13118993
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Which quadratic function is represented by the graph?
f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)
Answer:
f(x) = 0.5(x + 3)(x − 1)
6. Factor 4x from 22x2 + 40x 6.
6. Factor 4x from 22x2 + 40x 6.
is that multiply 4x 22x2 +40x6
Answer:
I think that would be 4(71 - ×)
PLZ HELP ME
find measure of arc STU
39
219
135
141
Answer:
Step-by-step explanation:
141
Find the volume of this cone.
Round to the nearest tenth.
10ft
6ft
Answer:
433.5
Step-by-step explanation:
The volume of the cone with a radius of 6ft and a height of 10ft is approximately 301.4 cubic feet.
What is the volume of the cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is the radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 ).
From the diagram:
Slant height l = 10 ft
Radius r = 6 ft
Height h =?
Volume V =?
First, we determine the height of the cone using Pythagoras theorem:
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = √64
h = 8
Plug the values into the above formula and solve for the volume:
V = (1/3)πr²h
V = (1/3) × 3.14 × 6² × 8
V = (1/3) × 3.14 × 36 × 8
V = 301.4 ft³
Therefore, the volume is approximately 301.4 cubic feet.
Learn more on volume of cones here: brainly.com/question/1984638
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Figure ABCD is a parallelogram. What is the value of x? А B O 6 07 8 5x + 3 38 9 D C
Answer:
7
Step-by-step explanation:
7 times 5 is 25 +3 is 38
The value of x is equal to 7.
QuadrilateralsThere are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, the opposite sides for a parallelogram are equal and parallel.
Considering that the opposite sides of the parallelogram (ABCD) are equal and parallel, so AD=DC. Therefore,
5x+3=38
5x=38-3
5x=35
x=7
Read more about the parallelogram here:
https://brainly.com/question/20526916
The speed of light is approximately 3x10^8 m/s. How far does light travel in
240 seconds?
7.2x10^10 m
7.2x10^-10 m
1.25x10^6 m
1.25x10^-6 m
Answer:
7.2*10^10m
Step-by-step explanation:
3*10^8 multiplied by 240 gives 72000000000.
In scientific notation, this is 7.2*10^10.
Therefore, 7.2*10^10m.
Answer:
1.25x10^_6 m this my own answe
A square has an area of 9 sq.m and has a perimeter which is equal to the
perimeter of an equilateral triangle. What is the area of the equilateral triangle?
Darion buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensitve per pound?
Answer:
Dried Apricots
Step-by-step explanation:
Divide dollars per pound to find amount per pound and then compare.
help? ill give brainliest
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Hope this helps also I had this on a test and it was right
Simplify 6 -square root of 15 divided by 2
Answer:
hjyfgtuygtfvfvhjkoijuhgytfrdetrft
Step-by-step explanation:
dcfgvhbjnkiouytrfdr
Answer:
-2.94
Step-by-step explanation:
I got the answer correct on edge