Answer:
a) (2, 0.5) (4, 1)
b) V(n) = 0.25n
c) $2.50
d) # quarters = independent
value = dependent
Step-by-step explanation:
The independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.a. Give 2 input-output pairs that represent this function.
There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.
Hence, the two pairs should be as,
(2, 50), (4, 100)
b. Write an equation that represents this function.As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
c. Find the output when the input is 10.Put the value 10 on the place of n in the above equation as,
[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]
The output when the input is 10 is 250 cents.
d. Identify the independent and dependent variables.The independent value is the number of quarters and the dependent variable is the value of cents.
Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
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Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
Answer:
2/3
Step-by-step explanation:
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
1 decametre = 10 metres
Hence,
10 meters = 6 pieces of ribbon
1 meter = x pieces
Cross Multiply
10x = 6
x = 6/10
x = 2/3 (1 meter pieces of ribbon)
You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?
Answer:
about 62%
Step-by-step explanation:
add all of the numbers
subtract the number of purple skittles
do 16÷26
multiply your answer by 100
get 61.5
round up
PLS HELP ASAP! HURRY, GIVING BRAINLY!
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
Answer:
59.85
Step-by-step explanation:
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70
σ is the population standard deviation = 7
z = -1.45
Hence:
-1.45 = x - 70/7
Cross Multiply
-1.45 × 7 = x - 70
-10.15 = x - 70
x = -10.15 + 70
x = 59.85
Please when answering show your full work. Step-by-step process.
Prove \triangle ABE\cong\triangle ACE△ABE≅△ACE. Be sure to state any congruencies and the criteria used to determine them.
Answer:
The answer is below
Step-by-step explanation:
Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.
1) AB = DC, BE = CE (given)
2) ∠AEB≅∠DEC (vertical angles are congruent)
3) ΔABE ≅ ΔACE (side angle side congruence theorem)
If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.
Write 200 as a product of primes.
Use index notation when giving your answer.
Answer:
Step-by-step explanation:
The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.
The prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
It is given that a number is 200.
We have to find out the prime factorization of 200.
What do you mean by prime factorization ?
Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.
As per the question ;
The given number is 200.
We have to find the prime factors of 200.
This meant to find out the prime numbers we should multiply together to make the original number which is 200.
So ;
200
= 2 × 100
= 2 × 2 × 50
= 2 × 2 × 5 × 10
= 2 × 2 × 2 × 5 × 5
or
= 2³ × 5²
Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
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What do you call an alligator in a vest?
Answer:
An InVESTtigator
Step-by-step explanation:
I've heard this before
Answer:
An Investigator.
identify the zeros of each function please
Answer:
6 zeros in total
Step-by-step explanation:
Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)
Step-by-step explanation:
Find the points that lie on the x axis
please tell me answers I am given you brainliest
Answer:
what is the question or whatever
Which number line shows the solution to the inequality n + 6 < 4?
Answer:
D) The very last one
Step-by-step explanation:
n + 6 < 4
n < -2
< means it's an open circle and goes in the LEFT direction
If y = x² + 2x + 3, find the value of y when x = -1
Answer:
y = 2
Step-by-step explanation:
Given
y = x² + 2x + 3 ← substitute x = - 1
y = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2
9 m
3 m
3 m
What is the area, in square meters, of the shaded region in the diagram?
Answer:
Notice that the side length of the square is 38 m.
area of square = (side length)2 = (38 m)2 = 1444 m2
Notice that the diameter of the circle is 38 m .
And its radius = diameter / 2 = 38m / 2 = 19 m
area of circle = pi * radius2 = pi * (19m)2 = pi * 361 m2 ≈ 1133.54 m2
So......
area of shaded region = area of square - area of circle
area of shaded region ≈ 1444 m2 - 1133.54 m2
area of shaded region ≈ 310.46 m2
Step-by-step explanation:
Notice that the side length of the square is 38 m.
area of square = (side length)2 = (38 m)2 = 1444 m2
Notice that the diameter of the circle is 38 m .
And its radius = diameter / 2 = 38m / 2 = 19 m
area of circle = pi * radius2 = pi * (19m)2 = pi * 361 m2 ≈ 1133.54 m2
So......
area of shaded region = area of square - area of circle
area of shaded region ≈ 1444 m2 - 1133.54 m2
area of shaded region ≈ 310.46 m2
There are 15 counters. One-third of the counters are yellow. How many
counters are yellow? *
Answer:
3
Step-by-step explanation:
15*1/5= 3
A 22.5 cm straw fits diagonally inside an 18 cm high can of soft drink what is the radius of the can
Answer:
6.75cm
Step-by-step explanation:
The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)
So, hypotenuse = length of straw = 22.5cm
perpendicular = 18cm
base = diameter of can(d)
Using pythagoras theorem
h² = p² + b²
(22.5)² = 18² + d²
506.25 = 324 + d²
d² = 506.25 - 324
d² = 182.25
d = 13.5cm
Now radius = d/2 = 13.5/2 = 6.75cm
Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?
Answer:
13000m
Step-by-step explanation:
Given data
Total distance travelled= 65,000
Number of days= 5 days
Hence the distance covered per day is
= 65,000/5
=13000m
Therefore the distance covered per day is 13000m
5x + 3y = -15 + y= 2/3x + 9
There are 32 females in a dance recital. This is the ratio men to women 3:8. How many men are at the dance recital????
Answer:
12
Step-by-step explanation:
Answer:
there are 12 men
Step-by-step explanation:
men:3×4=12
woman:8×4=32
$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?
Answer:
$9,151.38
Hopefully that is correct!!
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.
Answer:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
Step-by-step explanation:
Given
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question
Required
The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]
Expand the numerator
[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]
Factorize
[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]
Factor out x + 1
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)
We are only interested in the sign of the result
----------------------------------------------------------------------------------------------------------
As x approaches -2 implies that:
[tex]x -> -2^{-}[/tex] Say x = -3
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]
We have a negative value (-12); This will be called negative infinity
This implies that as x approaches -2, p(x) approaches negative infinity
[tex]x->-2^{-}, p(x)->-\infty[/tex]
Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)
As x leaves -2 implies that: [tex]x>-2[/tex]
Say x = -2.1
[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]
We have a negative value (-56.1); This will be called negative infinity
This implies that as x leaves -2, p(x) approaches negative infinity
[tex]x->-2^{+}, p(x)->-\infty[/tex]
So, the behavior is:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
Nora is a high school basketball player. How many points would Nora score in a game if she made 4 free throws (worth one point each) and 2 three point shots? How many points would Nora score in a game if she made x free throws and y three point shots?
Answer:
10
Step-by-step explanation:
4(1)+2(3)=10
Nora would score 10 and for x free throws and y three point shots x + 3y.
What is linear Equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
points on free throws = 1
points on 4 free throws = 4x1 = 4
and points on 2 three point shot = 2x3 = 6
total points are 4 + 6 = 10
and if she made x free throws then points are = 1x
and for y three point shots = 3y
total points for x free and y three point shots
x + 3y
Hence the points are 10 and x + 3y.
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Can anyone give me the answer and tell me how you did it?
Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.
Solve the equation for this problem.
After you find the answer you need to find out if its cents, dollars,partners,or fruit
Thank you!
Answer:
the answer is 150
Step-by-step explanation:
what is the product of (8-3a)(8-3a)
Answer:
i think is is 64a
Step-by-step explanation:
Answer:
[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]
Solve the following equation using the quadratic formula.
2x² + 5x – 42 = 0
Select all solutions that apply.
x = 1.5
x= -4
OX= 3.5
x = -6
Marty has a driveway that is 200 feet long. The tires on her car have a diameter of 18 inches. What is the fewest number of tire rotations a tire will make tot travel the entire distance of the driveway?
The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.
It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
Driveway length = 200 feet
Diameter of the tire = 10 inches
For converting it to feet divide by 12.
Now the diameter of tire = 18/12 = 1.5 feet
Radius of the tire = 0.75 feet
We know the perimeter of the circle:
[tex]\rm P = 2\pi r[/tex]
P = 2(π)(0.75)
P = 4.71 feet ( π =3.14 and P = 0.75)
[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]
[tex]= \frac{200}{4.71}[/tex]
Number of tire rotation = 42.462 ≈ 42
Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
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Help! 30 Points! Find x
Answer:
do math
Step-by-step explanation:
Graph the equation
y = -3. Determine the
slope of the line
Answer:
The slope is 0
Step-by-step explanation:
The line is horizontal. All horizontal lines have a slope of 0.
The graph is attached.
100% of what number is 27? Provide an exact fraction answer
Answer:
Your answer is 27
I hope I helped, would appreciate brainliest! ;)
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
27% = 27 'out of one hundred',
p% is read p 'percent',
27% = 27/100 = 27 ÷ 100
Calculate percentage:
'Percentage' is obtained by multiplying 100 by 27%
27% of 100 is equivalent to multiplying them:
27% × 100 = ?
27% × 100 =
(27 ÷ 100) × 100 =
(27 × 100) ÷ 100 =
2,700 ÷ 100 =
27
Proof.
How do we check the result?
If 27% × 100 = 27 =>
Divide 27 by 100...
... And see if we get as a result: 27%
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, any number.
Calculate the percent value:
27 ÷ 100 =
0.27 =
0.27 × 100/100 =
(0.27 × 100)/100 =
27/100 =
27%
So we have proved that the calculations are correct.
Answer:
Percentage of
27% of 100 = 27
Answer:
27%
Convert fraction (ratio) 27 / 100 Answer: 27%
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
g(x)=-(x+1)(r-1)(-4)
In standard form?? Please help!
Answer:
g(x) = 4rx + 4r - 4x - 4
Step-by-step explanation:
g(x)= -(x+1)(r-1)(-4)