The fraction of the original passengers remaining on the bus is 11/21.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.
.At the 1st stop 1/3 of the passengers exit.
At the 2nd stop, 3/7 of the remaining passengers exit the bus.
Therefore, The fraction of the original passengers who remain on the bus is,
= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].
= [ 1 - (1/3) - (3/21)].
= [ (2/3) - (3/21)].
= [(14 - 3)/21].
= 11/21.
So, 11/21 remains on the bus.
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2//2/2/3/2/2//3/3/3//3/3/4/5/5
Answer:
can u be more specific so i can properly help u
Explanation:
pls explain and i will edit my answer
p.
Sue uses of a pitcher of sweet tea to fill
each of 6 matching glasses. What fraction of
the pitcher does Sue use to fill 1 glass?
Answer:
P. Sue uses 1/6 of the pitcher to fill 1 glass
Step-by-step explanation:
What is the volume of the following triangular prism?
Answer:
450 in²
Step-by-step explanation:
All we do is find the area of the triangle at the base and top then multiply by the height so:
5×12=60
60÷2=30 is the area.
Now as I said we multiply with the height to get our answer:
30×15=450 in²
Answer:
A
Step-by-step explanation:
base area = (leg 1 x leg2)/2 = (12 x 5)/2 = 30 in^2
V = base area x height of the prism = 30 x 15 = 450 in^3
What is 10/83 simplified
Answer:
5/19
Step-by-step explanation:
Gabby assumed she could sell 45 boxes of cookies by Friday, but she only sold 26 boxes. What was Gabby's percent error?
Answer:
73.07%
Step-by-step explanation:
Given that,
Actual value of sold cookies = 26
Assumed value of sold cookies = 45
We need to find Gabby's percent error. The percentage error in a value is given by :
Error = ](Assumed value - Actual value)/Actual value]× 100
So,
[tex]\%=\dfrac{45-26}{26}\times 100\\\\=73.07\%[/tex]
So, Gabby's percent error is equal to 73.07%.
Answer: 73.1
Step-by-step explanation: Although the answer is 73.07 if you're in Acellus they want you to round to the nearest percent so the answer should be 73.1
How many sixteenths are there in 3/8 ?
Answer:
6 sixteenths 6/16
Step-by-step explanation:
8 x 2 = 16
3 x 2 = 6
Based on the experiment if a card is chosen 200 times how many times would you expect to pick a card without stripes?
The number of expected times to pick a card without strips is 130.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The percentage of stripes from the 120 times.
= 42/120 x 100
= 35%
Now,
Based on this experiment,
The number of strip cards out of 200 times.
= 35% of 200
= 35/100 x 200
= 35 x 2
= 70
The number of times to pick a card without strips.
= 200 - 70
= 130
Thus,
The expected number of times to pick a card without stripes is 130.
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The complete question is given below.
This function describes the time, t(d), in seconds, an object takes to hit the ground after falling d feet.
t (d) =sqrt{d/16}
How long will it take for an object to fall 1,600 feet?
A. 4 seconds
B. 10 seconds
C. 100 seconds
D. 160 seconds
Answer:
help me plzz
Step-by-step explanation:
The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes
What is the conditional frequency of a student who rides the bus being late to class first period?
Answer:
1/5
Step-by-step explanation:
The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.
Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students
Total number of students who rode the bus , total possible outcome = 15
Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)
Hence, we have ; 3 / 15 = 1 / 5
Select the correct answer. Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? gx+2f(x)=2(2>x) A. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2. B. The graph of g(x) is the graph of f(x) shifted to the right by a factor of 2. C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 2. D. The graph of g(x) is the graph of f(x) shifted up by a factor of 2.
Answer:
the answer to your question is A
Step-by-step explanation:
The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
Option A is correct.
What is a Function?A mathematical phrase that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given the function f(x) and the function g(x), also we are given the equation which related the functions f(x) and g(x).
We have to find the transformation that f(x) will undergo in order to get the graph of the function g(x).
From the given data:
f(x) = 2x
g(x) + 2f(x) = 2
∴ g(x) = 2 - 2f(x)
Now from the above equation we can clearly see that when 2 will be multiplied in f(x) its graph will be stretched horizontally by a factor of 2.
The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
Hence, The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
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Jacob runs 2652 yards in 15 minutes. Michael runs 7920ft in .375 hours. who will win the race?
Answer:
I think Jacob wins the race
what is Negative ninety two hundredths as number
Select each expression that is equivalent to 4n+12
A. 16n
B. 2n+6+2n+6
C. 2(2n+4)+2
D. 4(n+3)
E. 3(n+4)+n
F. n+n+n+n+12
Answer:
B D E F
Step-by-step explanation:
Determine whether the statement is true or false. If false, give a counterexample.
The constant of proportionality in an equation can never be 0.
Answer:
Step-by-step explanation:
PLEASE HELP! ASAP!!!!!!!!!!!!!!!!
Answer:
Area = 24 in.²
Step-by-step explanation:
Area of the parallelogram = base × height
base = 6 in.
height = h = ?
Use pythagorean theorem to find h
Thus:
h² = 5² + 3²
h² = 25 - 9
h² = 16
h = √16
h = 4 in.
Plug the values into the formula for area of parallelogram
Area = 6 × 4
Area = 24 in.²
Consider all five-digit numbers that can be created from the digits 0-9 0 - 9 where the first and last digits must be odd and no digit can repeat. What is the probability of choosing a random number that starts with 7 7 from this group? Enter a fraction or round your answer to 4 4 decimal places, if necessary.
-58 3 - 3 1 - 0
Solve.
Answer:
[tex]-9\frac{1}{4}[/tex]
Step-by-step explanation:
Rewrite our equation with parts separated
-5 - [tex]\frac{3}{4}[/tex] - 3 - [tex]\frac{1}{2}[/tex]
Solve the whole number parts
-5 - 3 = -8
Solving the fraction parts and Find the LCD
LCD = 4
[tex]-\frac{3}{4}[/tex] - [tex]\frac{2}{4}[/tex] = [tex]-\frac{5}{4}[/tex]
Simplify
[tex]-\frac{5}{4} = -1\frac{1}{4}[/tex]
Combine the whole and fraction parts
8 - 1 - [tex]\frac{1}{4}[/tex] = [tex]-9\frac{1}{4}[/tex]
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mila was baking cookies this weekend. she took 3 over 20 of the cookies to school on monday. and she gave 7 over 20 of the cookies to her neigbor. how much of the cookies did she gave away?
A
G
O
N
S
A
Answer:
Step-by-step explanation:
As she is baking cookies = 3/20
she egave it to her neigbour = 7/20
Remaining = ?
R = 3/20 -7/20 = -1/5
An international company has 22400 employees in one country. If this represents 18.3 of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
The total number of employees that this company would be said to have is given as 122424
How to solve for the number of employeesHow to solve for the number of employees in the company
We know that the number of employees in one country is 22400, and that this represents 18.3% of the company's employees in total.
We can use this information to set up a proportion to find the total number of employees in the company.
Employees in one country / Total employees = 18.3 / 100
22400 / X = 18.3/100
To find the total number of employees, we can cross-multiply and divide:
X = (22400 * 100) / 18.3
X = 122424
So the company has a total of 122424 employees.
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What is the difference In -4-(-7)
Answer:
Step-by-step explanation:The Apple iPhone 7 has a 4.7-inch size display, while the iPhone 7 Plus has a 5.5-inch display. The standard iPhone 7 has a 1334 x 750 pixel resolution, while the Plus has a Full HD resolution meaning their pixel densities are 326ppi and 401ppi, respectively.
Kevin hopes to earn a college basketball scholarship. To improve his shooting skills, Kevin shoots 50 baskets / day. If Kevin shoots 50 baskets every day for 60 days, how many shots will Kevin take?
What do the properties of polynomial addition mean? Complete each statement.
The closure property states that the sum of two polynomials is a
The commutative property states that changing the order of two or more terms
~ the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum
the value.
The Complete statement are:
The closure property states that the sum of two polynomials is a polynomial.The commutative property states that changing the order of two or more terms does not change the value of the sum.The associative property states that the way in which two or more terms are grouped in a sum does not change the value of the sum.What is the properties of polynomial addition about?The properties of polynomial addition include closure, commutativity, and associativity.
These properties of polynomial addition make it easy to perform arithmetic operations with polynomials because they have predictable results and the order in which the polynomials are grouped or ordered does not change the final result.
Therefore, In simple terms, closure property ensures that the sum of two polynomials is also a polynomial, commutative property ensures that the order of the polynomials does not change the sum and the associative property ensures that the grouping of the polynomials does not change the sum.
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Answer:
Step-by-step explanation:
An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________
(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________
a) The angular speed of the saw blade in radians per minute is;
460.77 radians per minute.
b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min
How to find angular and linear speed?a) Angular speed is defined as the speed of the object in rotational motion
The formula of the angular speed is; ω = θ / t
where;
ω is the angular speed
θ is the angular rotation
t is the time taken.
We are given;
In one revolution, the angle made is 2π radian.
In 4400 revolutions = 2π * 4400 radian
= 8800π radians
We know that ,
1 hour = 60 minute.
Thus;
Angular speed = 8800π/60
= 460.77 radians per minute
b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;
s = rω
where;
s is the linear speed
r is the radius
ω is the angular speed.
radius = 8 ¼ -inch/2 = 33/8 inches
Conversion from inches to feet gives;
33/8 inches = 0.34375 ft
Thus;
s = 0.34375/460.77
s = 7.46 * 10⁻⁴ ft/min
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Evaluate the expression Z/8, or z 8 for each of the following values for Z:
20) Z = 10.2
21) Z = 92
22) Z = 16.016
23) Z = 5 4/9
Evaluate each expression below if m = 32 and n = 150
24) m/16, or m by 16
25) 2N - 200
26) 3/4M -12
Answer:
1.275
11.5
2.002
0.68
2
0
12
Step-by-step explanation:
Evaluate Z/8 for each :
Z = 10.2 ; 10.2 / 8 = 1.275
Z = 92 ; 92/ 8 = 11.5
Z = 16.016 ; 16.016 / 8 = 2.002
Z = 5 4/9 ; (49 /9) ÷ 8 = 0.68
Evaluate each expression below if m = 32 and n = 150
m/16 ; 32 / 16 = 2
2N - 200 ; 2(150) - 300 = 300 - 300 = 0
3/4M -12 ; 3/4(32) - 12 = 24 - 12 = 12
1. In the diagram below which expression represents x, the measure of the exterior angle shown?
Answer:
a) a + b
Step-by-step explanation:
The value of the exterior angle x will be (a+b).
What is an exterior angle?The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.
The exterior angle is the sum of the two opposite internal angles of any figure.
The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.
Therefore the value of the exterior angle x will be (a+b).
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I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
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please help this is very important
Answer:
C
Step-by-step explanation:
Answer:
Area of a rectangle=LxW
There's 2 rec's there
For the first
A= 1/3.s
For the second
L=12
W= 1/3
A = 1/3 . ( 12)
Total Area = 1/3.s + 1/3(12)
Now This can also be simplified by factorization
Total Area = 1/3(s+12)
We factored out 1/3 from both sides.
The question asked to select ALL THE EXPRESSION That represents the total area.
SO OPTION C and E
Abi is carrying 3 gallons of milk. Each gallon of milk weighs 8.6 pounds. Abi wants to know the total weight of milk he is carrying.
Abi draws the area model below to find the product of 3 and 8.6.
8
0.6
3
3 x 8 = ?
3 x 0.6 = ?
What is the total weight of the milk he is carrying?
Use the number pad to enter your answer in the box.
Answer:
25.8 pounds
Step-by-step explanation:
3 x 8.6 = 25.8
Which expression is equivalent to 5-3(x+2)?
A. -3x - 1
B. -3x+10
C. 2x + 4
D. 2x-6
What is the multiplicative rate of change for the exponential function f(x)=2(5/2) in decimal form
The multiplicative rate of change for the exponential function is 0.4.
What is an exponential function?The exponential function in mathematics is represented by the symbols f(x)=exp or ex. The word, unless otherwise stated, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
In mathematics, an exponential function has the following form: f (x) = an x, where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.
Given: Exponential function [tex]$f(x)=2\left(\frac{5}{2}\right)^{-x}$[/tex]
To find The multiplicative rate of change for the exponential function.
Solution :
The general form of the exponential function is [tex]$f(x)=a b^x$[/tex]
where $b$ is the rate of change of the function.
First we write the given function In proper form:
[tex]$$\begin{aligned}& f(x)=2\left(\frac{5}{2}\right)^{-x} \\& f(x)=2\left(\frac{2}{5}\right)^x\end{aligned}$$[/tex]
The rate of change is [tex]$f(x)=a b^x$[/tex]
Therefore, The multiplicative rate of change for the exponential function Is $0.4$
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find the slope for 1-6
Answer:
1) 10/3
2) -1./3
3) -2/5
4) 1
5) undefined
6) 0
Step-by-step explanation:
Find two easy to read points. Go from one point to the other by going vertically first then horizontally. Moving up is positive and down is negative. Moving right is positive and left is negative.
slope = rise/run = (difference in y)/(difference in x)
1) slope = 10/3
2) slope = -1/3
3) slope = -2/5
4) slope = 1/1 = 1
5) slope = undefined (The slope of a vertical line is undefined.)
6) slope = 0 (The slope of a horizontal line is 0.)