Answer:
The average total cost per hour of training is $70.5
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
m is the average rateb is the initial value∵ The gym charges a $615 yearly fee for membership plus
$50 for each hour of personal training
- That means the initial amount is 615 and the average rate is 50
∴ m = 50 dollars per hour
∴ b = 615 ⇒ fixed fee
- Substitute m and b in the form of the linear function
∴ c(x) = 50 x + 615, where c(x) is the cost per year for x
training hours
∵ A member works with a personal trainer for 30 hours in a year
- That means x = 30
∴ x = 30
- Find the total cost of this year by substituting x by 30
∴ c(30) = 50(30) + 615
∴ c(30) = 1500 + 615
∴ c(30) = 2115
∴ The total cost of this year is $2115
To find the average cost per hour divide the total cost by the number of the training hours
∵ Average cost per hour = 2115 ÷ 30
∴ The average cost per hour = 70.5 dollars
∴ The average total cost per hour of training is $70.5
Based on the number of hours and the cost per hour of using the trainer, the average cost per hour is $70.50 per hour.
First find the total cost of using a trainer for 30 hours.
= Fixed membership cost + (Cost per hour x Number of hours)
= 615 + (50 x 30)
= $2,115
The total cost for the year is $2,115.
The average cost per hour will be:
= Total cost / Number of hours
= 2,115 / 30
= $70.50
In conclusion, the total average cost per hour is $70.50.
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Can you guys answer this question ASAP, thanks will give brainliest
Answer:
An apple costs $2.25. A mango costs $1.25.
Step-by-step explanation:
Let a = price of 1 apple.
Let m = price of 1 mango.
Cameron:
4 apples + 7 mangoes ----> total $17.75
4a + 7m = 17.75
Gavin:
2 apples + 5 mangoes ----> total $10.75
2a + 5m = 10.75
We have a system of 2 equations in 2 unknowns.
4a + 7m = 17.75
2a + 5m = 10.75
We can use the elimination method to eliminate the variable a. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.
4a + 7m = 17.75
(+) -4a - 10m = -21.5
---------------------------------
-3m = -3.75
Divide both sides by -3.
m = 1.25
A mango costs $1.25.
Now we use the first equation and substitute 1.25 for m and solve for a.
4a + 7m = 17.75
4a + 7(1.25) = 17.75
4a + 8.75 = 17.75
4a = 9
a = 2.25
An apple costs $2.25.
Answer: An apple costs $2.25. A mango costs $1.25.
Answer:
2.25 ; 1.25
Step-by-step explanation:
4A + 7M = 17.75
2A + 5M = 10.75
2A = 10.75 - 5M
4A = 21.5 - 10M
21.5 - 10M + 7M = 17.75
3.75 = 3M
M = 1.25
4A = 21.5 - 10(1.25)
4A = 9
A = 2.25
After falling 23°F the temperature is now 51°F what was the starting temperature
Answer:74 degrees
Step-by-step explanation:
You would have to add the starting point to the current temperature.(51+23=74)
How long does it take to double a $1,000 investment that pays 6.5% annual interest, compounded monthly?
Which equation can you use to solve this problem?
To the nearest year, it will take about ___
years to double the original investment.
Answer: edgen
B 2=(1+0.065/12)^12t
Step-by-step explanation:
To the nearest year, it will take about 10.7 years to double the original investment.
How to solbve for the period it would takeIn this case, the principal P is $1,000, the interest rate r is 6.5% or 0.065 (in decimal form), the number of times compounded per year n is 12 (compounded monthly), and we want to find the time t when the investment doubles, so A is $2,000.
[tex]2000 = 1000(1 + 0.065/12)^{12t}[/tex]
[tex]2 = (1 + 0.065/12)^{12t}[/tex]
ln(2) = 12t * ln(1 + 0.065/12)
t = ln(2) / (12 * ln(1 + 0.065/12))
t ≈ 10.7
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Mrs. Ting cut each pizza into 8 slices. Together the children ate 12 3 4 pizzas. If each child ate two slices of pizza, how many children were at the party?
Answer:
Hence there were total of 19 pizza and were ate among the 76 children in party.
Step-by-step explanation:
Given:
8 slices for each pizza
No of pizza ate are =12+3+4=19
To Find:
How many children were are party
Solution:
Given that each children ate 2 slices per head so
Total pizza=19
and each pizza is sliced in 8 parts so
19 pizza will give =19 *8=152 slices
Hence there are 152 total number of slices
So 2 slices/child and 152 slices
152 slices/ 2 slices/child
=(152/2)children
=76 children.
PLEASE HELP URGENT!!!!!!!!!
Use the net to compute the surface area of the three-dimensional figure.
A) 56 units2
B) 62 units2
C) 68 units2
D) 74 units2
62 units is the answers
Step-by-step explanation:
The correct answer is C) 68 units². The net to compute the surface area of the three-dimensional figure is C) 68 units².
To compute the surface area of a three-dimensional figure, one must consider all the faces that make up the shape. The net of a three-dimensional figure provides a two-dimensional representation of all these faces. By calculating the area of each face and summing them up, we can find the total surface area.
Let's assume the net provided shows a figure composed of rectangles and triangles. We will calculate the area of each face as follows:
1. For rectangles, the area is given by the formula A = length × width.
2. For triangles, the area is given by the formula A = 1/2 × base × height.
Let's denote the lengths of the sides of the rectangles as l and w, and the base and height of the triangles as b and h, respectively.
Now, let's calculate the area of each face:
- Rectangle 1: A1 = l × w
- Rectangle 2: A2 = l × w (assuming it has the same dimensions as Rectangle 1)
- Triangle 1: A3 = 1/2 × b × h
- Triangle 2: A4 = 1/2 × b × h (assuming it has the same dimensions as Triangle 1)
The total surface area (SA) is the sum of the areas of all faces:
SA = A1 + A2 + A3 + A4
SA = (l × w) + (l × w) + (1/2 × b × h) + (1/2× b × h)
SA = 2lw + bh
SA= 2*5*3+19*2
SA=68
After performing these calculations with the given measurements from the net, we would find that the total surface area is 68 units².
Therefore, the correct answer is C) 68 units²."
Lindsey surveyed a random sample of students in 7th grade at her school to determine how students get to school each day. The results of the survey are shown below. 8 students walk or ride a bike 15 students ride in a car 25 students take the bus Based on the results of the survey, how many of the 720 students in 7th grade do NOT ride in a car to school?
495 students in 7th grade do not ride a car to school
Step-by-step explanation:
Step 1: Find the percentage of number of students in 7th grade who ride in a car to school in the sample.Number of students walking or riding a bike = 8
Number of students who ride a car = 15
Number of students who take the bus = 25
Total students in the sample = 48
⇒ Percentage of students who rides a car in the sample = 15/48 × 100 = 31.25%
Step 2: Find the equivalent number of students who ride a car in the total number of students.Total number of students = 720
Number of students who ride a car = 31.25/100 × 720
= 225
Step 3: Find the number of students who do not ride a car to school.Number of students who do not ride a car to school = 720 - 225 = 495
Answer:
b
Step-by-step explanation:
A solution has which of the following properties?
a) The average diameter of its solute particles usually is less than 1 nm.
b) Gravity separates its parts.
c) A filter can remove the solute.
d) The top layer is different in composition than the bottom layer.
Answer:
A
Step-by-step explanation:
The rest are incorrect
A solution is a homogeneous mixture composed of a solute dissolved in a solvent. It can be separated by passing it through a filter.
Explanation:A solution is a homogeneous mixture composed of a solute dissolved in a solvent. From the given options, property (c) is most characteristic of a solution. A solution can be separated by passing it through a filter, which removes the solute particles, resulting in a purified solvent. Gravity does not separate the parts of a solution, and the average diameter of solute particles can vary depending on the nature of the solute. Additionally, the composition of a solution is uniform throughout, so there is no distinction between the top and bottom layers.
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There are 30 blue cubes in the box.
What is the total number of cubes in the box
Answer:
The answers is in the problem 30 cubes
The total number of cubes are there in the box will be 75. And the table is completed below.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Then the value of x is given as,
x + x + 0.4 = 1
2x = 0.6
x = 0.3
The table is given below.
Color Blue Red Yellow
Probability 0.4 0.3 0.3
If the number of blue cubes is 30. Then the total number of cubes is given as,
Total cubes = 30 / 0.4 = 75
The total number of cubes are there in the box will be 75.
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PLEASE HELP TRIG 20 points!! I am standing on a 50 foot cliff in Laguna Beach California looking at my two dogs sitting on the beach below. If my line of sight is 6 feet above the ground in the angles of depression or 51 and 37 how far apart are the dogs
Answer:
28.97 feet
Step-by-step explanation:
Please refer to the attached image for explanations
The human eye can sharply see objects within a 15 Dagrees horizontal angle either side of the direction of focus. Arlo is designing a video presentation to be shown on a cylindrical screen that viewers will stand inside. The screen circumference is 120 feet. What is the maximum width of an image that can be viewed clearly in a glance from somewhere in the viewing area?
Answer:
Maximum width of image that can be viewed clearly on the cylindrical screen is 10 ft
Step-by-step explanation:
Here we have
Circumference of screen = 2πr = 120 ft
Angle that can be viewed horizontally either side of focus = 15°
Total angle view = 30°
Size of image that can be viewed = Object within 30° of focus
Maximum width of image that can be viewed clearly = Perimeter of 30° arc section of cylinder
Maximum width of image that can be viewed clearly = 30/360×120 ft = 10 ft.
Maximum width of image that can be viewed clearly on the cylindrical screen = 10 ft.
Please find the value of x
Answer:
x = 27°
Step-by-step explanation:
You know that both sections together add up to 180°, so you want to set up an equation:
2x + 99 + x = 180
3x + 99 = 180
3x = 81
x = 27°
least to greatest: 7.0 , 0.07 , and 0.7
Answer:
0.07,
0.7,
7.0
That is the answer
Answer:0.07,0.7,7.0
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that apply.
To begin converting the equation to standard form, subtract 36 from both sides.
To complete the square for the x terms, add 4 to both sides.
The center of the circle is at (-2, 3).
The center of the circle is at (4.-6).
The radius of the circle is 6 units.
The radius of the circle is 49 units.
The answer is B and C
Answer: b & c
I got the answer right on my quiz
The following statements are true:
- To begin converting the equation to standard form, subtract 36 from both sides.
- To complete the square for the x terms, add 4 to both sides.
- The center of the circle is at (-2, 3).
- The radius of the circle is 7 units.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
To convert the equation to standard form, we need to complete the square for both the x and y terms.
x² + y² + 4x - 6y - 36 = 0
x² + 4x + y² - 6y = 36
(x² + 4x + 4) + (y² - 6y + 9) = 49
(x + 2)² + (y - 3)² = 7²
So the center of the circle is at (-2, 3) and the radius of the circle is 7 units.
Therefore, the following statements are true:
- To begin converting the equation to standard form, subtract 36 from both sides.
- To complete the square for the x terms, add 4 to both sides.
- The center of the circle is at (-2, 3).
- The radius of the circle is 7 units.
And,
The statement "The center of the circle is at (4.-6)" is false, and the statement "The radius of the circle is 49 units" is also false.
Thus,
The following statements are true:
- To begin converting the equation to standard form, subtract 36 from both sides.
- To complete the square for the x terms, add 4 to both sides.
- The center of the circle is at (-2, 3).
- The radius of the circle is 7 units.
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Help PLEASE!
Identify the volume of a sphere with surface area 144πm2. Give your answer in terms of π.
V = 144π m3
V = 7776π m3
V = 288π m3
V = 3888π m3
Hey pls answer my simple question. <3
Answer:
adult ticket would cost 4.5 after the 45% discount and the childs ticket would cost 2.4 after the 40% discount
(i converted 2/5 into a percentage which left me with 40%)
each time the family goes to the movies the family saves 9.1
(assuming its one adult and one child)
so 40/9.1= 4.39 and round it to 4
question A
adult ticket after discount=4.5
child ticket after discount=2.4
Question B
the family would have to go at least 4 times before they start saving money.
Step-by-step explanation:
someone help me please
If f(x) and it's inverse function, f-1(x), are both plotted on the same coordinate plane, what is there correct point of intersection? (0,-2) (1,-1) (2,0) (3,3)
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A fucntion f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse fucntion is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
i.e. (3,3)
Wich is equivalent to √10 3/4x
Answer:
8 (square root) 10^3x
Step-by-step explanation:
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§ALEX§
A shirt that normally costs $35.00 is on sale for 28.00. What is the percent discount?
Answer:
$25.20
Step-by-step explanation:
$35 x 0.28
= $9.80
35-9.80
= $25.20
Answer:
20%
Step-by-step explanation:
35 x .2 = 7
35 - 7 = 28
Hope this helps & best of luck!
Feel free to message me if you need more help! :)
The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?
Answer:
A = 7,241.2454026112 square mm.
or exact : A = 2,304.96*π sq mm
Step-by-step explanation:
Cylinder formula: A = π* r^2 + 2 *π * r* h + π*r^2
is the surface area.
d = 2r = 39.2 mm
h = 39.2 mm
r = 19.6 mm
A = π* r^2 + 2 *π * r* h + π*r^2
A = 2* π* (19.6)^2 + 2π (19.6)*(39.2)
A = 2,413.748467537 + 4,827.496935
A = 7,241.2454026112 square mm.
or
A = 2*pi* (768.32 + 384.16)
A = 2*1,152.48* pi
A = 2,304.96*π sq mm
[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
The cylinder's diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?Answer :-
The surface area of the cylinder is 7238 mm².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{19.6 \: mm}}\put(9,17.5){\sf{39.2 \: mm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the diameter of the cylinder is 39.2 mm. Thus, the radius of the cylinder is 19.6 mm. The height of the cylinder is 39.2 mm. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(19.6 \: mm)^2 + (2)(3.14)(19.6 \: mm)(39.2\:mm) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(384.16 \: mm^2) + (2)(3.14)(768.32\:mm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(1206.2624 \: mm^2) + (2)(2412.5248 \: mm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2412.5248 \: mm^2 + 4825.0496 \: mm^2 [/tex]
[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 7238 \: mm^2 \: (nearest\:tenth)}[/tex]
Therefore :-
The surface area of the cylinder is 7238 mm².[tex]\\[/tex]
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Write a single algebraic expression for the following sequence of operations. Begin with a number represented by n. Multiply by -2 add 5 to the previous expression divide the previous expression by 3 subtract 6 from the previous expression multiply the previous expression by 4 add 7 to the previous expression
Answer:
-2n-15 1/3
Step-by-step explanation:
-2n+5/3-6(4)+7
-2n+5/3-24+7
-2n+1 2/3-17
-2n-15 1/3
Andrew has a container with 80 game pieces that are different colors.He knows that the probability of choosing a green piece at random from the container is 0.2 and the probability of choosing a yellow piece at random from the container is 0.45. What is the total number of yellow game pieces in the container?
Answer:
36 Yellow pieces
Step-by-step explanation:
-Given the total number of pieces is 80 and the probability of choosing a yellow piece at random is 0.45.
-To find the number of yellows pieces in the container, we multiply its probability by the total number of pieces;
[tex]n_y=P(yellow)\times n\\\\=0.45\times 80\\\\=36[/tex]
Hence, the total number of yellow pieces is 36
Final answer:
To find the total number of yellow game pieces in the container, we can use the given probabilities to calculate the number of yellow pieces. By setting up equations based on the information provided, we determine that there are 8 yellow game pieces in the container.
Explanation:
Let's first calculate the total number of game pieces in the container.
Let x be the total number of yellow game pieces. The total number of game pieces is 80.
Given that the probability of choosing a green piece is 0.2 and the probability of choosing a yellow piece is 0.45:
Let the number of green pieces be (80 - x), so 0.2(80 - x) = 4 - 0.2x
Now, we know the number of yellow pieces is x, so 0.45x = 0.45x
Solving the equations, we get x = 8, thus there are 8 yellow game pieces in the container.
Use the change of base formula to evaluate the logarithms to the nearest thousandth.
log36 =
log520 =
log2(1/5) =
Answer:
1.631
1.861
-2.322
Step-by-step explanation:
The value of logarithm log₅20 is 1.861.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
The given logarithms are log₃6, log₅20 and log₂(1/5).
We have change of base formula: logₐx= logₙx/logₙa
Here, log₃6 = log₁₀6/log₁₀3
= 0.7781/0.4771
= 1.6308
≈ 1.631
log₅20 = log₁₀20/log₁₀5
= 1.3010/0.6989
= 1.8614
≈ 1.861
log₂(1/5) = log₁₀(1/5)/log₁₀2
= -0.6989/0.3010
= -2.3219
≈ -2.322
Therefore, the value of logarithm log₅20 is 1.861.
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Help❤️
Thank you❤️❤️
Answer:
Step-by-step explanation:
B
Answer:
the answer is B
Step-by-step explanation:
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.
(a) Find P(X = 75).
(b) Find P(X ≤ 75).
(c) Find P(X > 50).
(d) Find P(X < 100).
(e) Which of the probability expressions in parts (a)–(d) is a value of the CDF?
X 25 50 75 100 Total
P(X) .20 .40 .30 .10 1.00
Answer:
a) P(X = 75) = 0.30
(b) P(X ≤ 75)
= 0.2 + 0.4 + 0.3 = 0.90
(c) P(X > 50).
= 0.3 + 0.1 = 0.40
(d) P(X < 100)
= 0.2 + 0.4 + 0.3 = 0.90
(e) parts b, c & d are CDF
Answer:
the answer is C,D,B enjoy your day
Step-by-step explanation:
Sean is making accessories for the soccer team she uses 671.16 in at work on headbands for 39 players and three coaches she also uses 336.57 in the fabric on wristbands just for the players how much fabric is used on the headband and wristband for each player
Answer:
Headband: 15.98 in.
Wristband: 8.63 in.
Step-by-step explanation:
In this problem, we call:
h = the amount of fabric used for each headband
w = the amount of fabric used for each wristband
We are told that:
Sean uses 671.16 in at on headbands for 39 players and three coaches, so the total number of headbands made is 42
Therefore, we can write
[tex]671.16 = 42 h[/tex]
And solving for h, we find
[tex]h=\frac{671.16}{42}=15.98 in.[/tex]
Then we also know that Sean uses 336.57 in the fabric on wristbands just for the players, so he produced 39 wristbands; so we can write:
[tex]336.57 = 39w[/tex]
And solving for w,
[tex]w=\frac{336.57}{39}=8.63 in.[/tex]
Find the volume of a right circular cone that has a height of 19.9 cm and a base with a radius of 9.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
1920.5
Step-by-step explanation:
Final answer:
To find the volume of a cone with specific dimensions, use the formula V = 1/3 π r² h. Substitute the given values for radius and height, then calculate the volume rounded to the nearest tenth.
Explanation:
The volume of a right circular cone can be found using the formula V = 1/3 × π × r² × h, where r is the radius and h is the height of the cone.
Plugging in the values (r = 9.6 cm, h = 19.9 cm) gives V = 1/3 × 3.142 × 9.62 × 19.9 = 200.5 cm³
Deshaun took 2 5/8 hours to clean the bathroom. Then took 1/4 hours to clean the den . How much total time did deshaun take to clean the two rooms ?
Answer:
2.875 hours 2 5/8 plus 1/4 equals 2.875
What is 20% of 45?
A.
7
B.
12
C.
9
D.
13
Answer:
C. 9
Step-by-step explanation:
Mulitply .20 by 45
Answer:
C. 9
Step-by-step explanation:
20%- 0.2
multiply 0.2 and 45
Your answer is 9
Can someone please help me
Answer:
5.83 or E
Step-by-step explanation:
Use Pythagorean theorem. 5^2+3^2=c^2 because the diameter is perpendicular it cuts the chord in half.
25+9=c^2
34=c^2
5.83
Answer:
x = 5.83.
Step-by-step explanation:
The diameter bisects the vertical chord so the right triangle has legs 3 and 5.
So x^2 = 3^2 + 5^2
x^2 = 34
x = 5.83.
That is odd - if we work it out another way we get a different answer. I guess that must be because the numbers given in the diagram are not possible.
If we use the intersecting chords theorem, we get (3+6)*3 = 27
= 5 * y where y is the other leg of the right triangle giving y = 5.4
and then this will give x = 6.18.