In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
A total of 20 students play soccer or basketball.
Given that 1/3 of the students play soccer, and 8 play basketball, how many students in Mr. Sheldon’s class play neither soccer nor basketball?
I have no idea how to calculate. I will reward the right answer along with explanation of how it was figured. (I attached a pic of the multiple choices) Thanks!
Answers
Given that 1/3 of the students play soccer you can conclude that 1\3 is equal 12 student, then in class totally are 12*3=36 students.
36-20=16 students play neither soccer nor basketball
Answer: Correct choice is B.
Related Questions
In Emily's physics class, she had to solve the equation 9 = 12at2 + ut for u. Each step of her work is shown below.
Use the drop-down menus to explain each step.
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Answer:
[tex]u=(9-\frac{1}{2}at^{2})/t[/tex]
Step-by-step explanation:
we have
[tex]9=\frac{1}{2}at^{2}+ut[/tex]
Solve for u
That means-------> isolate the variable u
step 1
Subtract [tex]\frac{1}{2}at^{2}[/tex] both sides
[tex]9-\frac{1}{2}at^{2}=ut[/tex]
step 2
Divide by [tex]t[/tex] both sides
[tex]u=(9-\frac{1}{2}at^{2})/t[/tex]
In Step 1, Emily subtracts (1/2)at² from both sides to isolate 'u.' In Step 2, she divides both sides by 't' to solve for 'u,' simplification of the equation further.
The equation is 9 = (1/2)at² + ut
Step 1 . 9 - (1/2)at² = ut
In this step, Emily subtracts (1/2)at² from both sides of the equation.
The purpose of this is to isolate the term containing 'u' on the right side of the equation.
Starting with the original equation, Emily recognizes that the term (1/2)at² is added to ut, and she wants to get rid of it from the right side.
To do that, she subtracts (1/2)at² from both sides to keep the equation balanced.
So, she ends up with 9 - (1/2)at² on the left side and ut on the right side.
This is a crucial step because it isolates the term ut, making it easier to solve for 'u' in the next step.
Step 2. [9 - (1/2)at²] / t = u
In this step, Emily divides both sides of the equation by 't' to solve for 'u.' The purpose is to isolate 'u' on the right side of the equation.
Starting with the equation from Step 1 (9 - (1/2)at² = ut), Emily recognizes that she wants to isolate 'u' by itself.
To do that, she divides both sides of the equation by 't.'
This division cancels out 't' on the right side, leaving 'u' alone.
Therefore, simplification of the equation ends up with [9 - (1/2)at²] / t on the left side and 'u' on the right side, this step allows her to find the value of 'u' using the given values of 'a,' 't,' and '9.'
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A model ship is built to a scale of 1 cm: 4 m. The length of the model is 40 cm. What is the length of the actual ship? a. 160 m c. 40 m b. 50 m d. 15 m Please select the best answer from the choices provided A B C D
Answers
You can get this answer by multiplying the scale by the length of the model
WILL GIVE BRAINLIEST-Let f(x)=x2−3x−4 .
What is the average rate of change from x = 7 to x = 10?
Enter your answer in the box.
Answers
The average rate of change on that interval is 14.
Answer:
14
Step-by-step explanation:
14
your boss is impressed with your work and gives you a 3% raise.if the inflation rate is 3% you are
A) making more money in today's dollars
B) making about the same amount in today's dollars
C) making less money in today's dollars
D) seeing no change in your paycheck
Answers
Answer: The answer is (B) making about the same amount in today's dollars.
Step-by-step explanation: Given that our boss is impressed with our work and give us a 3% raise.
We are to select the correct statement if there is an inflation of 3%.
Since the raise of 3% and inflation rate of 3% occur simultaneously, so there will not be much change in the amount of money we are making in dollars.
Thus, (B) is the correct option.
PLEASE HELP ME!! 25 points
Anna has a 10-foot long ladder that she is going to rest against a vertical wall along the bottom of a window-sill that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65°. Will the ladder be safe resting on the window sill?
please help with too -->Draw a diagram, and show work to support your answer.
Answers
sin x=opposite/hypotenuse
opposite=8.5 ft
hypotenuse=10 ft
thus
sin x=8.5/10
sin x=0.85
x=arcsin 0.85
x=58.21°
Since 58.21°<65° the we conclude that the ladder is very safe.
7 is greater than or equal to w, and - 1 is less than w
Answers
Hope this helps!
a poll shows that 76% of voters in a city favor an initiative to increase spending on public schools. if 10 voters are selected at random, wht is the probability that exactly five of them will vote in favor of the initiative?,
Answers
Lesson 8: Binomial Distributions
1. a. 91%
2. a. 5.1%
3. c. s^5-25s^4v+250s^3v^2-1250s^2v^3+3125sv^4-3125v^5
4. d. 55.8%
sales: Ye has his own business he checks sales receipts three times a day One day his afternoon sales were $50 more than his morning sales and his evening sales were three times this afternoon so if his total sales for the day were $1000 what were his evening service
Answers
This means:
- The afternoon sales are x + 50.
- The evening sales are 3(x + 50) = 3x + 150
Now we can calculate x knowing the total sales:
Total sales = morning + afternoon + evening
1000 = x + x + 50 + 3x + 150
800 = 5x
x = 160
We are asked for evening sales, so let's plug are value for x into the evening expression:
evening = 3x + 150 = 3(160) + 150 = $630
A tree on a hillside casts a shadow c = 230 ft down the hill. if the angle of inclination of the hillside is b = 19° to the horizontal and the angle of elevation of the sun is a = 49°, find the height of the tree. (round your answer to the nearest foot.)
Answers
let x be the distance from point A to when y intersects the horizonal.
x/230=cos 19
x=230 cos 19=217.5
y/x=tan 19
y=xtan19
y=217.5 tan 19=74.88
(h+y)/x=tan 49
h+y=xtan 49=217.5tan49=250.205
hence
h=250.205-74.88=175.325 ft
the answer is:
height of the tree ~ 175 ft
Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x.
(4x^2 - 10x -24) / (2x + 3)
Answers
Answer:
2x-8
Step-by-step explanation:
What is the area of this figure?
Answers
5 x 5 = 25
4 x 2.5 = 10
25 + 10 = 35.
Hope this helps!:)
This is the term in a polynomial without a variable
Answers
A term in a polynomial without a variable is known as a constant. It is the term that does not change its value.
Explanation:The term in a polynomial without a variable is often referred to as the constant term. In a polynomial expression, variables are raised to various powers and multiplied by coefficients. However, the constant term is a unique element within the polynomial because it does not involve any variables. It is a number on its own and typically represents the y-intercept of the polynomial graph when plotted on a Cartesian plane.
For example, in the polynomial expression "[tex]3x^2 + 5x - 7,"[/tex] the constant term is "-7." This term contributes a fixed value to the overall expression, regardless of the value of the variable "x." It's a crucial component in polynomial mathematics, as it affects the position of the polynomial graph on the vertical axis. Understanding the constant term is essential for polynomial evaluation, graphing, and solving equations involving these expressions. In essence, the constant term is the base value around which the polynomial varies as the variable changes.
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Which polynomial is in standard form
Answers
Answer:
Last option is correct.
Step-by-step explanation:
We are given with some polynomials.
We have to tell which one is in standard form of polynomial.
In Standard Form of a polynomial , Terms are arranged in decreasing or descending order of degree of the terms.
Polynomial 1.
1 + 2x - 8x² + 6x³
In this Terms are arranged in Increasing order of degree of terms.
This is not in Standard form.
Polynomial 2.
2x² + 6x³ - 9x + 12
In this polynomial first two terms are arranged in Increasing order of degree while last two arranged in decreasing order of degree.
This is not in Standard form.
Polynomial 3.
6x³ + 5x - 3x² + 2
In this Terms are arranged in jumbled order of degree
This is not in Standard form.
Polynomial 4.
2x³ + 4x² - 7x + 5
In this Terms are arranged in Decreasing order of degree of terms.
This is in Standard form.
Therefore, Last option is correct.
How much will be left after 105 Days?
Answers
Since the half-life is 35 days, to figure out how many half-lives to go through, you diving 105 (the number of days total), by 35 (the number of days in a half-life). This gives us 3.
Now, you divide the base number (816 grams) in half. You do this the number of times we got earlier (in this case, three times.)
And that leaves us with 102 grams.
I hope this helps!
Find the area of the trapezoid. Leave your answer in simplest radical form.
Answers
A=[(18-4)+18]*4√3/2=32*2√3=64√3
A=64√3
A research firm conducts a sample survey and discovers that, of all the new watchers of three-dimensional tv, 77% have not reported any side effects such as vertigo, headache, or undue eyestrain compared with watching regular television. if this sample questionnaire had 2,100 respondents, what is the margin of error (me), rounded to the nearest thousandth? hint: me equals plus or minus two times square root of start fraction p hat left parenthesis one minus p hat right parenthesis over n end fraction end square root comma where p hat is the yes proportion in the sample and n is the sample size. me = ±0.009 me = ±0.017 me = ±0.018 me = ±1.837
Answers
All you have to do is plug the known values into the equation and evaluate it.
First, do the work under the square root sign. 0.77(1-0.77) / 2100 gives you a very small number. If you take the square root of that, you will have 0.0091.
The last step is to just multiply that by 2 and you will have 0.018
What is the value of x?
x=23
x=35
x=58
x=93
Answers
..................................................................... 70.6 m × 14 m =
Answers
For this case we are in the presence of a multiplication where each number represents a unit.
The unit for each number in this case is meters.
Therefore, the result will be expressed in meters squared.
Multiplying we have:
70.6 m × 14 m = 988.4 m ^ 2
Answer:
70.6 m × 14 m = 988.4 m ^ 2
What is the effect on the volume of a rectangular prism if the width is doubled and the hight is reduced to half of the original height?
A) the volume is doubled.
B) the volume is halved.
C) the volume is tripled.
D) the volume is unchanged.
Answers
_____a function is the same as moving a function ... im not totally sure
Answers
Let f(x) = 5x + 6 and g(x) = -7x - 4.
Find f(x) + g(x)
Answers
5x + 6 - 7x - 4
-2x + 2
helpppppppppppppppppppppppppppp
Answers
We then have to rewrite:
x*x ^ 2 = 64
Rewriting:
x ^ 3- 64 = 0
x = 4
Answer:
x = 4
option 2
A recipe for lemon cranberry pound cake calls for 80 milliliters of lemon juice and 240 milliliters of plain yogurt. How many liters of lemon juice and yogurt are needed to make 11 cakes?
Answers
1 liter------------> is equal to 1000 ml
if for one cake--------------> are required 80 milliliters of lemon juice
for 11 cakes--------------> X
X=11*80---------> 880 ml
if for one cake--------------> are required 240 milliliters of plain yogurt
for 11 cakes--------------> X
X=11*240---------> 2640 ml
liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt
liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt
the answer is
are needed 0.88 lt of lemon juice and 2.64 lt of yogurt to make 11 cakes
Answer: 3 liters 520 milliliters
Step-by-step explanation:
Total liquid amount:
80 ml + 240 ml = 320 milliliters
Total amount for 11 cakes:
320 milliliters × 11 = 3,520 milliliters
Total amount for 11 cakes conversion:
3,520 milliliters ÷ 1,000 = 3 remainder 520 = 3 liters 520 milliliters
Refer to Explorations in Literature for a complete version of this passage.
Which quotations from “Here Is New York” develop the author’s viewpoint that commuters do not truly experience New York City?
Select each correct answer.
A "About 400,000 men and women come charging on to the Island each week-day morning, out of the mouths of tubes and tunnels."
B "Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night."
C "The commuter dies with tremendous mileage to his credit, but he is no rover."
D "Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall."
Answers
C "The commuter dies with tremendous mileage to his credit, but he is no rover."
D "Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall."
Final answer:
The quotations that develop the author's viewpoint about commuters not truly experiencing New York City are highlighted.
Explanation:
The quotations from “Here Is New York” that develop the author’s viewpoint that commuters do not truly experience New York City are:
“Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night.”
“The commuter dies with tremendous mileage to his credit, but he is no rover.”
“Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the seawall.”
These quotes highlight the idea that commuters only see a limited and narrow part of the city, and they do not take the time to truly explore and experience all that New York has to offer.
A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9degree angle. Each of the sides of the lot that face these streets is 150 ft. Long. Find the perimeter of the lot to the nearest foot.
Answers
Sin(α)=Opposite/Hypotenuse
α=89.5°/2=42.95°
Opposite=x
Hypotenuse=105
Sin(42.95°)=x/105
x=(105)(Sin(42.95°))
x=71.54 feet
2. Then the other side of the isosceles triangle (b), is:
b=2x
b=2x71.54 feet
b=143.08 feet
3. The perimeter of the isosceles triangle, is:
P=2a+b
P=2(105 feet)+143.08 feet
P=210 feet+143.08 feet
P=353 feet
A board is leaning against a vertical wall, The board makes a 62 degree angle with the ground and touches the wall at a point that is 45 in, above the ground. What is the length of the board, rounded to the nearest inch?
Answers
Angle B = 90°
Side a = 45
The length of the board is side b
Use the Law of Sines to find side b.
b / sin(B) = a / sin(A)
b / sin(90°) = 45 / sin(62°)
b = (sin(90°) x 45) / sin(62°)
b = 50.966
Rounded to the nearest inch is 51 inches.
Hope this helps!
Answer:
Option C. 51 in.
Step-by-step explanation:
In the given right angle triangle height is given as 45 in. above the ground.
Length of the board is making an angle of 62°with the ground.
Therefore by sine rule
sin 62° = height / hypotenuse
sin 62° = 45/h
0.8829 = 45/h
h = 45/0.8829 = 50.96 ≈ 51 in.
Therefore option C. 51 in. is the answer.
simplify 4x+2 - x^2 +x-12 / x-3
a) 3x-2
b)3x+4
c)5x-4
d)5x+4
Answers
Answer:
3x-2
Step-by-step explanation:
on edge
Delia work for 45 minutes on her oil panting she took a brake a 10:35 am what time did delia starting working
Answers
⇒ count back 45 minutes from 10.35am
45 mins before 10.35am = 9.50am
What is the value of x in the equation 3x – y = 18, when y = 27?
Answers
To find the value of x in the equation 3x - y = 18 when y = 27, substitute 27 for y and solve the resulting equation. The value of x is found to be 15.
The student has asked for the value of x in the equation 3x - y = 18, given that y = 27. To solve for x, we simply substitute 27 for y in the equation and solve for x:
3x - 27 = 18
3x = 18 + 27 (Add 27 to both sides)
3x = 45
x = 45 / 3 (Divide both sides by 3)
x = 15
The value of x is 15 when y = 27.
What is the area of a sector with a central angle of 10pi/7 radians and a radius of 18.4 m? Enter your answer as a decimal.
Answers
.. = (1/2)*(18.4 m)^2*(10π/7)
.. = 759.73 m^2