Four students have volunteered to fold pamphlets for a local community action group. Which student is the fastest?
a. Deron
b. Quinn
c. Neiva
d. Sarah
Answers
Quinn, the student, is the fastest
Quinn: 30/60, or 1/2 page per second.
Quinn is the fastest student when it comes to folding pamphlets.
Which is a rational function?A polynomial divided by another polynomial is a rational function. The domain of a rational function is the set of all numbers excluding the denominator's zeros because polynomials are defined everywhere.
A rational function in mathematics is any function that can be defined by a rational fraction, which is an algebraic fraction in which both the numerator and denominator are polynomials.
Find the folding speed of the students per second.
Neiva: 1/3 pages per second.
Sarah: 2/10 or 1/5 pages per second.
Quinn: 30/60 or 1/2 pages per second.
Deron: 45/120 or 3/8 pages per second.
Among these students, Quinn is the fastest student in folding pamphlets.
Therefore, the correct answer is option b. Quinn.
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Related Questions
5
y≥--x-3
2
how do i graph this?
Answers
The given inequality can be graphed by solving the inequation first.
What is an inequality?
Inequality is defined as an equation that lacks an equal sign. Inequality is a phrase that defines the relative magnitude of a statement and may be used to compare these two statements.
The given inequality can be solved as
[tex]5y\geq -x-32[/tex]
[tex]for, x=1, 5y\geq -1-32[/tex]
[tex]or, 5y\geq -33[/tex]
[tex]or, y=\frac{33}{5}[/tex]
Solve for two more values of x and then plot the inequality on the graph
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Use summation notation to write each arithmetic series for the specified number of terms. Then evaluate the sum. 21+19+17+ . . . ; n=8
Answers
The summation notation for given arithmetic series is ∑21-2n , where n starts from 0.
The given series is 21+19+17+ . . .
On looking at the series we can easily notice that there is an decrease of 2 from one term to the next successive term.
So the formula will be (-2n +/- something).
Our first term is 21 and then decrease of 2, So we can say that the formula will be (21 - 2n) and n starts from 0.
So if n=0, our first term is 21
If n=1, our second term is 19
If n=2, our third term is 17
and so on.
So, we have the expression (21 - 2n).
The summation notation for given arithmetic series is ∑21-2n , where n starts from 0.
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i need 3.234 minus 3.234 written out
Answers
factorise and hence evaluate :
2,014^2-2,012^2
Answers
Answer:
8,052
Step-by-step explanation:
(2,014 - 2,012) x (2,014 +2,012)
2 x 4,026
8,052
Kevin needs to order some new supplies for the restraunt where he works. the restraunt needs at least 492 glasses. there are currently 333 glasses. if each set on sale contains 18 glasses
Answers
Answer:
Step-by-step explanation:492 is needed right,and Kevin has 333 glass.So you need 159 glasses,but you need to find out how many sets you need to get 492 glasses.If 18 glasses comes in a set you'll need to divide 159 by 18 and get 8.83333333333. Then simplefiy the number to 8.8
can someone please help me I don’t understand and it’s a really important homework
Answers
Smaller number: 9
Answer: Large number: 36
Smaller number: 9
Step-by-step explanation:
Which expression is equal to this expression, according to the associative property? 5+(3-1)
Answers
Answer:7
Step-by-step explanation:
3-1= 2
5+2=7
whats the slope for (-6,-3) and (0, -1.5) in fraction form?
Answers
The slope of the line segment joining the two points given (-6,-3) and (0, -1.5) expressed in fraction form as required in the task content is; m = 1/4.
What is the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) as required in the task content?It follows from the task content that the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) be determined.
On this note, it follows from the slope formula that slope;
m = (y2 - y1)/(x2 - x1)
Therefore, the slope of the line segment joining the two points is;
m = (-1.5 - (-3))/(0 - (-6))
m = 1.5/6
m = 1/4.
Ultimately, the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) expressed in fraction form as required in the task content is; m = 1/4.
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name all the sets of numbers to which each real number belongs.
1. 12
2. -15
3. 1 1/2
4. 3.18
5. square root 48
6. 9.3
7. -2 7/9
8. square root 25
9. square root 3
10. negative square root 64
11. negative square root 12
12. 8/4
Answers
These are the description of the real numbers.
According to the statement
We have to explain all about the real numbers.
So, For this purpose, we know that the
Positive or negative, large or small, whole numbers, fractions or decimal numbers are all Real Numbers.
From the given information:
Real numbers are composed of the subsequent set of numbers : Whole numbers, natural numbers, integers, rational numbers and irrational numbers.
• Natural numbers include all positive numbers which can be used for ordering or counting. They include numbers from 1, till infinity.
• Whole numbers include all positive integer values including 0.
• Integer numbers are the set of all positive and negative integer values including 0. Examples are : (-1, 0, 8)
• Irrational numbers are non-integer values which can't be expressed within the form a/b. like (√5, 1.7171...)
Using the definitions above :
• 12 = Natural, integer , integer and rational (12/1)
• -15 = Integer, rational (-15/1)
• 1 1/2 = 3/2 = Rational
• 3.18 = rational (terminating decimal)
• root 48 = √48 = 6.928... = irrational(non-terminating and non-repeating)
• 9.3 = rational (terminating decimal)
• -2 7/9 = -25/9 = rational (a/b)
• root 25 = √25 = ±5 = integer, rational (5/1)
• root 3 = √3 = 1.732... real (non-terminating and non-repeating) .
• negative root 64 = - √64 = - 8 = integer, rational (-8/1)
• negative root 12 = - √12 = - 3.464... = irrational (non - terminating)
• 8/4 = 2 = natural, number, rational, integer
So, These are the description of the real numbers.
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Evaluate the function at each specified value of the independent variable and simplify.
f(x) = x² + 1
a) f(1) =
b) f(-3) =
c) ƒ (6³) =
d) f (x - 1) =
Answers
Three integers have a mean of 8, a median of 8 and a range of 4.
Answers
Answer:
The 3 integers are 6 8 and 10
Step-by-step explanation:
Comment
Start with the median. That's the middle number of an ordered set of numbers.
a 8 b is what you have so far.
Now the range between a and b is 4 which means that a and b differ by 4.
a + 4 = b
The mean will solve this quickly. Put a + 4 for b
[(a + 8 + a + 4)]/3 = 8 Combine like terms
(2a + 12)/3 = 8 Multiply both sides by 3
3 (2a + 12)/3 = 8 *3
2a+12 = 24 Subtract 12 from both sides
2a + 12 - 12 = 24-12 Combine
2a = 12
a = 6
but we know that the range between a (which is 6 ) and b is a + 4 = 10
So b must equal 10
Median: middle number
Range: largest - smallest
Mean: ? + ? + ? = ? / 3 = 8, so 8x3=24, the equation is now ?+?+?=24
Median: ?,8,? Because median is 8
Range: 10,8,6. 10-6=4
Double check:
Mean: 10 + 8 + 6= 24/3= 8✔️
Median: 10,8,6= 8✔️
Range: 10,8,6. 10-6=4✔️
Numbers: 10,8,6
If each student in the class drinks
1 cups of juice during the party
and there are 9 students in the
class, how many cups of juice will
be needed?
Answers
Answer:9
Step-by-step explanation:
Solve each equation. (m-2)-5=8-2(m-4)
Answers
The solution of the given linear equation in one variable (m-2)-5=8-2(m-4) is at m = 23/3.
According to the given question.
We have a linear equation in one variable
(m-2)-5=8-2(m-4)
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable (m-2)-5=8-2(m-4) is given by
(m -2) -5 = 8 -2(m -4)
⇒ m -2 - 5 = 8 -2m + 8 (by distributive rule)
⇒ m -7 = 16 - 2m (adding and subtracting the line terms)
⇒ m + 2m = 16 + 7
⇒ 3m = 23
⇒ m = 23/3
Hence, the solution of the given linear equation in one variable (m-2)-5=8-2(m-4) is at m = 23/3.
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Can someone provide a justification?
Answers
The piecewise function that best models her weekly pay h(t) is given by:
h(t) = 12t, 0 ≤ t ≤ 40.h(t) = 480 + 18t.What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
For this problem, we have that:
The input is the number of hours worked.The output is the weekly pay.Her weekly pay is calculated differently according to the number of hours worked, divided into two cases as follows:
Standard hours: t ≤ 40.Overtime hours: t > 40.For up to 40 hours, she receives the standard wage of $12, hence:
h(t) = 12t, 0 ≤ t ≤ 40.
For more than 40 hours, she receives $12 x 40 = $480 plus 1.5 x $12 = $18 per hour worked, hence:
h(t) = 480 + 18t.
Hence the piecewise function that best models her weekly pay h(t) is given by the following definition, from the equations that we found prior in this problem:
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Determine if 21 is rational or irrational and give a reason for your answer.
Answers
Find the measure of each numbered angle. (Lesson 4-2)
m ∠ 6
Answers
The measurement of angle ∠2 is 67.50°.
What exactly do we mean by an angle?In Euclidean geometry, an angle is a figure formed by two rays called the sides of the angle that share a common endpoint called the vertex of the angle.Angles formed by two rays are located in the plane in which the rays are located.When two planes intersect, angles are formed.These are referred to as dihedral angles.So,
An octagon has 8 sides.Sum of interior angles = 180° x (n-2) = 180° x (8-2) = 180° x 6 = 1,080°1,080° ÷ 8 sides = 135° interior angle.Angle 2 = 135° / 2 = 67.50°Therefore, ∠2 is 67.50°.
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The correct question is given below:
Given the regular polygon, find the measure of each numbered angle.
m ∠ 2
Simplify the expression.
16-12 / 15-11
Answers
The simplified expression for (16-12 / 15-11) is 1 .
The given expression is,
( 16-12 / 15-11 )
First we need to solve the numerator which is (16-12) and on simplifying the numerator we can write,
Numerator = ( 16 - 12 ) = 4 equation 1
Similarly, now we can proceed to solve the denominator which is (15 - 11) and on simplifying the denominator we write,
Denominator = (15 - 11) = 4 equation 2
Now we can substitute the value of numerator and the denominator from equation 1 and equation 2 in the given expression ( 16-12 / 15-11 ) as,
(Numerator / Denominator) = (16-12 / 15-11) = (4/4) = 1
The simplified expression for (16-12 / 15-11) is 1 .
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Determine whether the following statement is true or false. If false, give a counterexample. If true, give an argument to support your conclusion.
If the sum of tine acute angles of a triangle is greater than 90 , then the triangle is acute.
Answers
The statement given is true.
If the sum of tine acute angles of a triangle is greater than 90 , then the triangle is acute.
What is acute angle ?The acute angle can be defined as the angle less than 90°. Or we can say that the angle which is between 0° and 90° is called as an acute angle of a triangle. In the triangle all the angles gives the sum of 180 degree, that means, at least two angles in every triangle are always acute angles.
According to statement given in the question. This statement is absolutely true. If the sum of two acute angle is greater than 90 then the third angle of that polygon i.e. triangle must be less than 90 which makes the whole triangle a acute . Since, all the angles are now acute angles that means less than 90 thus this made the triangle as a acute triangle.
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Suppose you pull a card from a standard 52-card deck. Find the probability of following event. The card is a face card.
Answers
3/13 is the probability of following event. The card is a face card.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Total no.of cards = 52
Let A be the event of taking face card.
No.of face cards = 4×3 = 12
Now n(S)= 52C1 = 52, n(A) = 12C1 = 12
So P(A) = n(A)/n(S) = 12/52 = 3/13
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Find the eighth term of each geometric sequence. 3,9,27, . . . . .
Answers
Answer:
6561
Step-by-step explanation:
You multiply by 3 each time.
Write an algebraic expression that models each situation.
The piggy bank contained 25 , and 1.50 is added each day.
Answers
The algebraic expression of the piggy bank contained $25 and $1.50 is added each days is 25+1.50x
Given,
The piggy bank contained = $25
The amount added in each day = $1.50
Consider number of days as x
Then the algebraic expression = 25+1.50x
Hence, the algebraic expression of the piggy bank contained $25 and $1.50 is added each days is 25+1.50x
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Find the volume of a cone that has a diameter of 10 inches and height of 2 inches in terms of pi. (PLEASE SHOW WORK IF POSSIBLE)
Answers
The volume of a cone that has a diameter of 10 inches and height of 2 inches in terms of pi 50/3pi cubic inches
Volume of a coneThe formula for calculating the volume of a cone is expressed according to the formula
V = 1/3 pir²h
where
r is the radius of the cone = 10/2 = 5in
h is the height = 2in
Substitute to have;
V = 1/3pi(5)² × 2
V = 50/3pi
Hence the volume of a cone that has a diameter of 10 inches and height of 2 inches in terms of pi 50/3pi cubic inches
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In a bag, the ratio of purple counters to green counters was 3:4. 8 more purple counters were then added to the bag, and the ratio of purple counters to green counters became 5 : 4. How many green counters are in the bag?
Answers
Answer:16
Step-by-step explanation:
since the increase is 2 units for purple counters
8 ÷ 2 = 4
4×4=16
PLS HELP I NEED TO FINISH THES IN ORDER TO PASS MY GRADE
Use the graph to answer the question.
graph of triangle ABC with vertices at negative 2 comma negative 2, 3 comma 3, 2 comma negative 5
Determine the coordinates of triangle A′B′C′ if triangle ABC is rotated 270° clockwise.
A′(−2, 2), B′(3, −3), C′(−5, −2)
A′(2, −2), B′(−3, 3), C′(5, 2)
A′(2, 2), B′(−3, −3), C′(5, −2)
A′(2, −2), B′(−3, 3), C′(2, 5)
Answers
Answer:
A′(2, −2), B′(−3, 3), C′(5, 2) (2nd choice)
Step-by-step explanation:
Rotating a point 270° clockwise about the origin is the same as rotating the point counterclockwise by 90°
In either case, the coordinates of any point (x, y) become new coordinates (-y, x)
I will summarize the original and rotated points,.
Original Rotated
Point(x, y) Point(-y, x) Remarks
-------------- -------------- -------------
A(-2, -2) A'(2, -2) eliminates 1st and 3rd choices
B( 3, 3) B'(-3, 3) no luck, both 2nd and 4th choices have this
C(2, -5) C'( 5, -2) only the 2nd choice fits all three
Answer: A′(2, −2), B′(−3, 3), C′(5, 2)
The coordinates of triangle A′B′C′ after rotating triangle ABC 270° clockwise are A′(2, −2), B′(−3, 3), and C′(5, 2).
The correct answer is (A).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point concerning 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,
To rotate a point (x,y) 270° clockwise about the origin,
We can use the formulas:
x' = y and y' = -x.
So, to rotate triangle ABC 270° clockwise, we need to apply these formulas to each vertex:
A' = (-2, 2) rotated 270° = (2, -2)
B' = (3, 3) rotated 270° = (-3, 3)
C' = (2, -5) rotated 270° = (5, 2)
Therefore,
The coordinates of triangle A′B′C′ after rotating triangle ABC 270° clockwise are A′(2, −2), B′(−3, 3), and C′(5, 2).
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how can changing fractions to decimals make them easier to compare?
Answers
Answer:
They are easier to compare because you don't have to simplify in your head or change denominators to make two fractions comparable.
Step-by-step explanation:
2.
lons that are made of more than
one atom are called
A ionic compounds
B crystals
C polyatomic atoms
D ionic bonds
Answers
Answer:
C polyatomic atoms
Step-by-step explanation:
Which is an equivalent expression for (5^2 • 3^4)^3?
15^18
5^6 • 3^12
5^2 • 3^12
5^5 • 3^7
Answers
Answer:
answer 2
Step-by-step explanation:
3*4=12
Answer:
B. 5^6 x 3^12
Step-by-step explanation:
(5^2 x 3^4)^3 =
5 x 5 x 3 x 3 x 3 x 3 =
25 x 81 =
2025
2025^3 =
8,303,765,625
Option B is correct because,
5^6 x 3^12 =
5 x 5 x 5 x 5 x 5 x 5 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 =
15,625 x 531,441 =
8,303,765,625
Enter the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating
decimal.
4/5
Answers
A diver is 7.5 meters above water. she takes her dive 1.7 meters below the surface. how far does the dive take her.
Answers
The diver take her at a distance of 9.2 meters.
What is distance?A resultant displacement can be used to quantify distance. It involves measuring the coordinate values of the beginning and ending positions. The distance is measured in quantities like meters, centimeters, kilometers, etc.
A diver descends 1.7 meters below the surface of the water while suspended 7.5 meters above it, according to the question.
According to fundamental mathematics, values that are less than zero can be represented as negative values.
She will thus descend (-1.7) meters as she dives below the surface.
The formula may now be expressed as follows: Total Distance = 7.5 - (-1.7) = 9.2 meters.
As a result, the diver descends 9.2 meters below the surface with her.
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→
List all the 4-digit even numbers
that can be created by
rearranging
these number tiles.
3472
Answers
3472
3742
3724
3274
7342
7324
7234
7432
2374
2734
4732
4372
