The 66 percent in the form of fraction representing the national average of the students graduating within six years from a private and non profit institution is given by 33 / 50.
Percent of students graduating from private nonprofit institution within six years is equal to 66 percent
Value of one percent is equal to one part of 100
Percent in the form of fraction is given by :
⇒ 1 percent = one part of hundred
⇒ 1 percent = ( 1 / 100 )
⇒ 66 percent = ( 66 / 100 ) in fraction form
Simplify the fraction in more reduced form we get,
⇒ 66 percent = ( 33 / 50 ) in fraction form
Therefore, the fraction form of the 66 percent students who have graduate within six years from private non-profit institution is equal to ( 33 / 50 ).
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a knitted hat pattern comes in styles with stitch options and sizes, and there are yarns appropriate for the hat. disregarding size, how many different hats can be made?
A knitted hat pattern comes in 4 styles with 4 stitch options and 3 sizes, and there are 7 yarns appropriate for the hat. There are 112 different hats that can be made using the knitted hat pattern, disregarding size.
To find the total number of different hats that can be made using the knitted hat pattern, we need to multiply the number of choices for each feature.
There are 4 styles to choose from and 4 stitch options, so there are 4 x 4 = 16 different combinations of style and stitch.
For each of these style and stitch combinations, there are 7 yarns that can be used, so the number of possible yarn choices is 7.
Therefore, the total number of different hats that can be made, disregarding size, is:
16 (style and stitch combinations) x 7 (yarn choices) = 112
This calculation shows how the multiplication principle of counting can be used to find the total number of outcomes in a multi-stage process where the number of choices at each stage is known. In this case, we multiplied the number of style and stitch combinations by the number of yarn choices to find the total number of different hats that can be made.
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Complete question is:
A knitted hat pattern comes in 4 styles with 4 stitch options and 3 sizes, and there are 7 yarns appropriate for the hat. Disregarding size, how many different hats can be made?
Nathan was bored. He went outside to find something to do. His mother was planting flowers. Nathan offered to help her. They planted flowers from 2:40 p.m. until 5:10 p.m. They talked and had a good time together. How long did Nathan and his mother work together?
Answer: 2 hours and 30 minutes
Step-by-step explanation:
factoriser les expressions :
16x+4
Answer:
4(4x+1)
Step-by-step explanation:
16x+4
Factor out 4,
4(4x+1)
The population of a large US city is 1,703,210. Show how you could express this in Scientific Notation
The population of a large US city is 1.70321 × 10⁶ in Scientific Notation.
Scientific NotationIt may be referred to as scientific form or standard index form.
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We know that, a number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
According to the question,
the population of a large US city is 1,703,210. we need to show this number in Scientific Notation.
The number is written in two parts,
The digits, with the decimal point placed after the first digit, followed by × 10 to a power that puts the decimal point where it should be
Therefore,
1,703,210 = 1.70321 × 10⁶.
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Please help (will mark as brainlest)
Answer:
(9y + 4)(5x + 7)
Step-by-step explanation:
Your friend hides a dollar bill under one of three plastic cups. Under the other
two cups is a paper clip. You get to keep whatever is under the cup you
choose, but you don't know which contains the dollar bill. After you choose,
your friend lifts one of the other cups to reveal a paper clip and then gives you
the option of changing your choice.
Should you switch to the other cup?
A. No. The probability of winning the dollar is regardless of the cup
your choose.
B. Yes. If you switch cups, the probability of winning the dollar
increases from to 1/1.
OC. Yes. If you switch cups, the probability of winning the dollar is 3.
D. No. If you switch cups, the probability of winning the dollar is.
Answer: B
Step-by-step explanation:
Richard and Teo have a combined age of 28. Richard is 10 years older than twice Teo's age. How old are Richard and Teo?
The algebra word problem method shows that Richard is 22 years old and Teo is 6 years old.
Algebra word problems in mathematicsAlgebra is used in our daily lives without us even recognizing it. Students can relate to and comprehend the significance of mathematics in the real world by solving algebraic word problems in worksheets.
Algebraic word problems usually comprise interpreting words into numbers, variables, their coefficients, and the use of appropriate arithmetic operations.
From the information given, we can the following system of equations as follows:
r + t = 28 --- (1)
r = 2t + 10 --- (2)
(2t + 10) + t = 28
3t + 10 = 28
3t = 28 - 10
3t = 18
t = 18/3
t = 6
From (1), r + t = 28
r + 6 = 28
r = 28 - 6
r = 22
Therefore, we can conclude that Richard is 22 years old and Teo is 6 years old.
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Select the correct answer.
What is the value of x in the triangle?
7√3
60°
OA. 21
OB. 10
O C.
C. 7
O D. 7√3
30%
Make a prediction about what might happen if you have ten birds.
Answers:
1.There is no relationship.
2.You'll have nine angry neighbors.
3.You'll have either five or six angry neighbors.
4.You'll have six angry neighbors.
5.You'll have either seven or eight angry neighbors.
The prediction about what might happen if you have ten birds will be 5. You'll have either seven or eight angry neighbors
What is a word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, it should be noted that as the number of birds increase, the number of angry neighbor increased too. Therefore, the prediction about what might happen if you have ten birds will be that you'll have either seven or eight angry neighbors.
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what is the solution to 2j=16+4j
Answer: j = -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
2j = 16 + 4j
collecting like terms, you would have
2j - 4j = 16
-2j = 16
divide both sides by 2
j = 16/(-2)
j = -8
Two numbers are co-prime if they do not have any prime factors in common.
List all possible numbers that are co-primes with the following numbers that are < 50:
(a) 390
(b) 210
(c) 49335
On solving the provided question, we can say that Here, 21 and 22 only share a single element, which is 1. Since they are co-prime factor, their HCF equals 1.
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
21 and 22:
1, 3, 7, and 21 are the factors of 21.
1, 2, 11, and 22 are the factors of 22.
Here, 21 and 22 only share a single element, which is 1. Since they are co-prime, their HCF equals 1.
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the coordinates of the endpoints of ij are i(3,5) and j(17,19). point k is on ij and divides it such that ik:jk is 3:4. what are the coordinates of k?
Given that, the coordinates of the endpoints of ij are i(3,5) and j(17,19). point k is on ij and divides it such that ik:jk is 3:4.
The coordinates of the point k are (9,10)
The concept of section formula asserts that if a line segment is divided into two pieces in a certain ratio, the coordinates at the point of division may be obtained using the formula:
(mx2 + nx1)/(m+n), (my2 + ny1)/(m+n) = K
where (x1, y1) and (x2, y2) are the line segment's endpoint coordinates, and m:n is the provided ratio by which the line segment is divided.
The ends of the line segment IJ in this example are I(3,5) and J(17,19), and the ratio by which it is divided is 3:4, implying that IK:JK is 3:4.
As a result, m:n = 3:4, implying that m = 3 and n = 4.
When we enter these values into the formula, we get:
K = (3 x 17 + 4 x 3)/(3+4), (3 x 19 + 4 x 5)/(3+4)
When we simplify this expression, we get:
K = ( 51 + 12)/(7), (57 + 20)/(7)
K = (63)/(7),(77)/(7)
K = 9,10
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PLEASE HURRY
E
B
D
AC = 14 cm
EC = 84 cm
ED = 21 cm
C
Given the following segment lengths,
find the length of segment AB.
The length of the segment AB is 3.5 cm
What is a line segment ?
A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.
We have segments ratio as shown:
BC/AB = CD/ED
=> (AC - AB)/AB = (EC - ED)/ED
=> (14-AB)/AB = (84-21)/21 = 3
Let AB=x
=> (14-x)/x = 3
=> 14-x = 3x
=> 14 = 3x+x = 4x
=> 14/4 = x
=> x=3.5 cm
AB=x = 3.5 cm
The length of the segment AB is 3.5 cm
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question 6 the area of the rectangle is 48x3y5 square inches. its width is 6xy2 inches. what is the length of the rectangle?
The length of the rectangle is [tex]8x^2y^3[/tex] inches when the area of the rectangle is [tex]48x^3y^5[/tex] square inches.
To find the length of the rectangle, we can use the formula for the area of a rectangle, which is:
Area = length x width
We are given that the area of the rectangle is [tex]48x^3y^5[/tex] square inches, and its width is [tex]6xy^2[/tex] inches. Therefore, we can substitute these values into the formula to get:
[tex]48x^3y^5 = length * 6xy^2[/tex]
Simplifying this equation, we can cancel out the common factors of 6x and [tex]y^2[/tex] on both sides to get:
[tex]8x^2y^3 = length[/tex]
Therefore, the length of the rectangle is [tex]8x^2y^3[/tex] inches.
To verify our answer, we can substitute the length and width back into the formula for the area of a rectangle and check if it matches the given area:
Area = length x width = [tex](8x^2y^3) * (6xy^2) = 48x^3y^5[/tex]
Since this matches the given area, we can be confident that our answer is correct. Therefore, the length of the rectangle is [tex]8x^2y^3[/tex] inches.
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WILL GIVE BRAINLIEST, PLEASE HURRY
Which transformations take the graph of f(x)=6x to the graph of g(x)=6x−4+2?
Choose each correct answer.
Responses
The graph is translated to the right 4 units.
The graph is translated up 2 units.
The graph is translated down 4 units.
The graph is translated to the right 2 units.
The graph is translated to the right 2 units. This is because the expression inside the function is now 6x - 4, which means the function has a horizontal shift to the right by 4/6 = 2/3 units.
What is Graph?
In mathematics, a graph is a collection of points, called vertices or nodes, and a collection of lines, called edges, that connect pairs of vertices. Graphs are used to represent relationships between objects, such as the connections between different parts of a network or the dependencies between different variables in a system. They are commonly used in fields such as computer science, operations research, and engineering to model and solve problems involving complex systems.
The correct transformations are:
The graph is translated to the right 2 units. This is because the expression inside the function is now 6x - 4, which means the function has a horizontal shift to the right by 4/6 = 2/3 units.
The graph is translated up 2 units. This is because there is a constant term of +2 added to the function, which means the function has a vertical shift upwards by 2 units.
Therefore, the correct answers are:
The graph is translated to the right 2 units.
The graph is translated up 2 units.
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susan climbed 18 trees throughout each forest in her county. each forest is the same size. is this sample of the trees in the county likely to be representative?
Yes, this sample of the trees in the county likely to be representative if each forest is the same size.
What is representative sample?Representative sample, the sample must accurately reflect the population studied in demographics and characteristics of the chosen subjects.
For example, a representative sample will reflect only those within the study population and should not extend to those outside the study. If Jose is interested in studying the exercise habits of college athletes, only the population of college athletes should be considered for the selection of a representative sample. Jose will not choose athletes from high school or career athletes as part of his representative sample.
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Which of the following equations has no solution?
A.m + 9 = 8
B.m - 3 = m + 3
C.m + 9 = 9 + m
D. All the choices
Answer:
B. m-3=m+3
Step-by-step explanation:
Because the others have a solution such as 0 and -1.
And That would eliminate D
I need help with this
Answer: 29 yards
Step-by-step explanation:
First, we want to find how much she spent. We will subtract the leftover from the original amount.
$15 - $9.49 = $5.51 spent
Next, we will convert this value into cents.
$5.51 = 551 cents
Last, we will divide this by the price per yard to find how many yards she bought.
551 / 19 = 29 yards
Answer:
29 yards
Step-by-step explanation:
$15.00 - $9.49= $5.51
$5.51 divide by .19 per yard = 29
HELP pls will mark you the brainliest
The function among all options is y=30.5(0.7)ˣ.
What is the graph of a function?The graph of a function represents a set of all points in a plane. It helps to derive the nature of the function.
The function must satisfy the points that are given in the graph.
When x=0, y=21.35(0.7)ˣ=21.35(0.7)⁰=21.35.
But the given point is (0,30.5).
Hence, it cannot be the required function.
When x=0, y=30.5(21.35)ˣ=30.5(21.35)⁰=30.5.
When x=1, y=30.5(21.35)ˣ=30.5(21.35)¹=651.175.
But the given point is (1,21.35).
Hence, it cannot be the required function.
When x=0, y=30.5(1.3)ˣ=30.5(1.3)⁰=30.5.
When x=1, y=30.5(1.3)ˣ=30.5(1.3)¹=39.65
But the given point is (1,21.35).
Hence, it cannot be the required function.
When x=0, y=30.5(0.7)ˣ=30.5(0.7)⁰=30.5.
When x=1, y=30.5(0.7)ˣ=30.5(0.7)¹=21.35.
When x=2, y=30.5(0.7)ˣ=30.5(0.7)²=14.945≈14.95.
It satisfies all three given points.
Therefore, the required function is y=30.5(0.7)ˣ.
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Find the indicated side of the
triangle.
b
30°
12
a = -
Answer:
Find the indicated side of the
triangle.
b
30°
12
a = -
Step-by-step explanation:
Use the Slope Formula to calculate the slope of a line with these two points. Find the slope of the line that passes through (1, 9) and (8, 8).
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{1}}} \implies \cfrac{ -1 }{ 7 } \implies - \cfrac{1 }{ 7 }[/tex]
Sin (x-30)*cos (x/2) >0
Answer:
15
Step-by-step explanation:
25 Points! Please help!!
2 + cscsecx/cscsecx = (sinx+cos)
Answerk bzijnjlngljntgojengojnetgihnrtgkte4wg
Pls show your work thank you will mark the Brainliest
Answer D
Step-by-step explanation:
6 At Bay Beach Tennis Club, there are 10 tennis courts. This
morning, all of the tennis courts are being used, some for
doubles matches and some for singles matches. Each court with
a doubles match has 4 players, and each court with a singles
match has 2 players. There are 28 players in all. On how many
courts are people playing doubles? On how many courts are
people playing singles?
Education.com
Courts With Singles Matches
Y
204
16
16
14
12
10
8
6
2
0
Cost per Adult Ticket (6)
16 18
2 4 6 8 10 12 14
Courts With Doubles Matches
20
Find worksheets, games, lessons & more at education.com/resourc
2007-2023 Education
Answer:
To find the number of courts with doubles matches, we need to determine the total number of players playing doubles. If each court with a doubles match has 4 players, then the total number of players playing doubles would be 4 times the number of courts playing doubles.
Since there are 28 players in total, and each court with a singles match has 2 players, the number of players playing singles would be 28 - 4x, where x is the number of courts playing doubles.
Since each court with a singles match has 2 players, the number of courts playing singles would be 28/2 = 14.
So, 28 - 4x = 14, and solving for x, we get x = 7.
Therefore, there are 7 courts with doubles matches and 14 courts with singles matches.
WILL GIVE BRAINLIEST
What is JL?
Right triangle J K L has K as its right angle. A segment connects K to M on side J L. Angle J M K is a right angle. K M equals 6 and J M equals 8.
JL =
Answer:
Step-by-step explanation:
To find the length of JL in the right triangle JKL, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides equals the square of the length of the hypotenuse (the longest side). In this case, JL is the hypotenuse and JK and KL are the two shorter sides.
Since K is a right angle in triangle JKL, we can find the lengths of JK and KL using the given information. We have KM = 6 and JM = 8, so we can use those values to find JK and KL:
JK = √(JM^2 - KM^2) = √(8^2 - 6^2) = √(64 - 36) = √(28) = 2√(7)
KL = KM = 6
Finally, to find JL, we can use the Pythagorean theorem:
JL = √(JK^2 + KL^2) = √( (2√(7))^2 + 6^2) = √(4 * 7 + 36) = √(52) = 2√(13)
So, JL = 2√(13).
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets. Find the price of a senior citizen ticket and the price of a child ticket.
The school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets.The price of a senior citizen ticket is $17.33 and the price of a child ticket is $5.01.
What is Word Problem?
A word problem is a mathematical problem that is presented in the form of a story or scenario, often using words and symbols to describe a real-world situation. Word problems require the solver to read and understand the problem, identify the relevant information, translate the information into mathematical expressions or equations, and then solve for the unknown quantity.
Word problems can involve a wide range of mathematical concepts, including arithmetic, algebra, geometry, statistics, and calculus, and are often used to test students' problem-solving abilities and mathematical reasoning skills.
Let's call the price of a senior citizen ticket "s" and the price of a child ticket "c".
From the information given, we know:
3s + c = 38 (equation 1)
3s = 52 (equation 2)
Using equation 2, we can solve for s:
3s = 52
s = 17.33 (rounded to two decimal places)
Now we can substitute this value of s into equation 1 and solve for c:
3s + c = 38
3(17.33) + c = 38
c = 38 - 3(17.33)
c = 5.01 (rounded to two decimal places)
So the price of a senior citizen ticket is $17.33 and the price of a child ticket is $5.01.
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A composite figure is shown.
Which of the following represents the total area of the figure?
A. 222 cm2
B. 240 cm2
C. 258 cm2
D. 294 cm2
The total area of the composite figure is 258 squared centimeters.
What is the area of the composite figure?The figure in the diagram is composed of two triangle and a rectangle?
The area of a triangle = 1/2 × base × height
Area of a rectangle = length × width
From the diagram;
Triangle 1
base = 4cmheight = 12cmTriangle 2
base = 12cmheight = 3cmRectangle
length = 18cmwidth = 12cmTo find the area of the composite figure, we find the area of the two triangle and rectangle and add.
Area = area of triangle 1 + area of triangle 2 + area of rectangle.
Area = ( 1/2 × base × height ) + ( 1/2 × base × height ) + ( length × width )
Area = ( 1/2 × 4 × 12 ) + ( 1/2 × 12 × 3 ) + ( 18 × 12 )
Area = ( 2 × 12 ) + ( 6 × 3 ) + ( 18 × 12 )
Area = 24 + 18 + 216
Area = 258cm²
Therefore, the area is 258 squared centimeters.
Option C) 258cm² is the correct answer.
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Answer:
258cm^2
Step-by-step explanation:
A man and a woman share a cash prize of £2855 between them in the
ratio 1:4 respectively. The woman shares her winnings between herself,
her daughter and her son in the ratio 5:1:2. How much does her
daughter receive?
Answer:
285.50
Step-by-step explanation:
The total for the ratio of 1:4 is 5. The ratio to the woman to the total is
4:5 or
[tex]\frac{4}{5}[/tex] = [tex]\frac{x}{2855}[/tex] Cross multiply and solve for x
4(2855) = 5x
11420 = 5x Divide both sides by 5
2284 =x
The woman's portion of the total is 2284.
The woman takes the 2284 and divides it in a ratio of 5:1:2. The total is 8.
The daughter will receive the ratio of 1:8 of the total.
[tex]\frac{1}{8}[/tex] = [tex]\frac{x}{2284}[/tex] cross multiply and solve for x
8x = 2284 Divide both sides by 8
x = 285.50
The daughter's portion is 285.50
