The percent of people that preferred vanilla ice cream is equal to 25%.
What is a percentage?In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
In order to determine the number of people that prefer vanilla ice cream, we would develop an expression to multiply the fraction of the number of people by 100 as follows;
Number of people who prefer vanilla ice cream = 9/36 × 100
Number of people who prefer vanilla ice cream = 0.25 × 100
Number of people who prefer vanilla ice cream = 25%.
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Brad took 5 kicks and made 4 goals:4
5 . Sydney will take 10 shots and she
wants to make an equivalent fraction of the goals. How many goals must she
make
Answer: : Sydney must take 8 goals.
Step-by-step explanation:
Brad took 5 kicks and made 4 goals: 4/5.This means denominator is total kicks and numerator is number of goals.Now for Sydney total shots are 10.so we have to find equivalent fraction of 4/5 with denominator as 10.If we multiply denominator 5 by 2 we get denominator as 10.So that means we have to multiply the fraction 4/5 with 2/2This gives us 8/10 as equivalent fraction of 4/5.Numerator represents goals.
What is the area of the circle? (Approximate using π = 3.14)
circle with a segment drawn from one point on the circle to another point on the circle through the center of the circle labeled 10 feet
A. 15.7 ft2
B. 31.4 ft2
C. 314 ft2
D. 78.5 ft2
The area of the circle is 78.5 ft^2.
Given that,
A segment is drawn from one point on the circle to another point on the circle through the center of the circle is 10 feet.
So, the diameter of the circle d = 10 feet
The formula for the area of the circle = Пr^2
where r is the radius of the circle and П is given as 3.14
Radius = diameter/2
r = 10 feet/2
= 5 feet
So, by applying the formula
Area of the circle = П × 5 × 5
= 3.14 × 5 × 5
= 78.5 ft^2
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Match the theorem with the correct pair of congruent triangles.
The correct theorem with the correct pair of congruent triangles are given below:
SSS - Triangle 1SAS - Triangle 2AAS - Triangle 3ASA - Triangle 4HL - Triangle 5What are the congruent theorems of triangles?Two triangles are congruent if all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
The theorems for the congruence of triangles is as follows:
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Right angle-Hypotenuse-Side)Learn more about congruent theorems of triangles at: https://brainly.com/question/3168048
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Elisa starts baking a pie at 11:25 a.m.
The pie needs to bake for 45 minutes.
What time will the pie be done?
Answer:
12.10 pm
Step-by-step explanation:
just take the 45 minutes she uses to bake and add to the time she starts
11.25 a.m+45
12.10 pm
Please help to find if this is a matrix or an absolute value and explain what the answer is. I am not sure I understand this.
Step-by-step explanation:
this you solve via the determinant of the matrix.
for a matrix A
a b
c d
the determinant (A) = ad - bc
so, we have here
x² - 5×-4 = 24
x² + 20 = 24
x² = 4
x = ±2
so, as a simple quadratic equation, there are 2 solutions for x.
Analyzing the Intervals of a Function A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15. Predict which statements are true about the intervals of the continuous function. Check all that apply. f(x) > 0 over the interval (−, 3). f(x) ≤ 0 over the interval [0, 2]. f(x) < 0 over the interval (−1, 1). f(x) > 0 over the interval (–2, 0). f(x) ≥ 0 over the interval [2, )
The predicted interval for the given function is, f(x) ≥ 0 over the interval [-1,1]. So Option C is correct
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
The ordered pairs of the given function
(-3,15), (-2,-5), (-1,0), (0,5), and (1,0).
It can be observed from the values of f(x) with respect to x, that the function reaches zero at x = -1, then then reach up to 5 at x = 0 and then again reaches zero at x = 1
Hence, the value of f(x) remains positive within the interval of [-1,1].
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a. At 8 million hours, what is the size of the total economic surplus in this market? Place the shape on the graph to label total economic surplus in this market at 8 million hours, and calculate the value of the economic surplus.
The size of the total economic surplus in this market is $32.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Welfare and Efficiency-End of Chapter Problem
Consider the national market for in-home childcare, depicted in the accompanying graph
The size of the total economic surplus in this market,
= (1/2)(18 - 10) 8
= 32
Therefore, the surplus is $32.
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I need to write an equivalent expression that is a product for:
[32]x^{2} + 48x
Step-by-step explanation:
The equivalent expression in the form of a product is:
(8x) * (4x + 6)
49) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has10more of the twenties. The total value of the money is $725. Find the number of five-dollar bills that the teller has?
The bank teller has 21 five-dollar bills.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's represent the number of five-dollar bills "x". Then, the number of twenty-dollar bills would be "x + 10".
The total value of the money is $725, so we can write the equation:
5x + 20(x + 10) = 725
Expanding the second term and simplifying, we get:
5x + 20x + 200 = 725
Combining like terms, we get:
25x = 525
Dividing both sides by 25, we get:
x = 21
So, the teller has 21 five-dollar bills.
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(Geometry) I need help fast on questions 4 and below!
The measure of angle 4 is 90 degrees
How to determine the measure of the angle 4?From the question, we have the following parameters that can be used in our computation:
The rectangle
Also, we have
<5 = 12x -3
<6 = 10x + 9
Angles 5 and 6 add up to 90
So, we have
12x - 3 + 10x + 9 = 90
Evaluate the like terms
22x = 84
So, we have
x = 3.82
The angles in a triangle add up to 180
So, we have
<4 + 12 * 3.82 - 3 + 10 * 3.82 + 9 = 180
Evaluate
<4 = 90
Hence, the measure o this angle is 90 degrees
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From 2008 through 2012, the function Y equals 0.3 5X +9.6 can be used to approximate the movie box office in billions of dollars in region A, while the function Y equals 0.9 X +6.5 approximates the box office in region B. For both regions, X represents the number of years since 2008. Hey. If he’s trying to continue, predict the year in which the region a box office and region Vbox office will be the same. Be. Use these equations to project the box office for originate and read and beer for the year 2018
Answer:
9.818 years after 2008
Step-by-step explanation:
Y_A = 0.35 * X + 9.6
Y_B = 0.9 * X + 6.5
Equal in year X = (Y_B - Y_A) / (0.35 - 0.9) = (6.5 - 9.6) / (-0.55) = 9.818 years after 2008
X = 9.818 + 2008 = 2018.818
Y_A = 0.35 * (2018 - 2008) + 9.6 = 14.3 billion
Y_B = 0.9 * (2018 - 2008) + 6.5 = 15.3 billion
PLEASE DONT IGNORE AND HELP
Identify the correct equation for the graph.
The correct equation for the graph include the following: C. y = 2x/3 - 4.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.From the information provided above, we have the following slope and data points on the line:
Points on the x-axis = (0, 6).Points on the y-axis = (-4, 0).At point (0, -4), a linear equation of this line can be calculated in point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-4) = (0 + 4)/(6 - 0)(x - 0)
y + 4 = 2x/3
y = 2x/3 - 4
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Which of the following is an example of an economic trust? Gas Company X has taken over the entire oil market, with a 90% market share. Company A, Company B, and Company C have started a price war to get customers. Gas Company X has been broken up by the government because of its size. Company A, Company B, & Company C have joined to control prices in the market.
Company A, Company B, & Company C have joined to control prices in the market is an example of an economic trust.
What is the trust economyTrust is one of the foundations of the economy. With trust, sellers/buyers can transact and investors can send funds with peace of mind. Without trust, commercial trading and money transfer processes will not be realized as smoothly and globally as they are now.
Over the decades, traditional banking and financial institutions have built their reputation on public trust. Banks build tall buildings with magnificent architecture and employees who wear neat shirts to build public trust.
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The area of a rectangular swimming pool is 35m square while the perimeter is 24cm. Find the length of the swimming pool.
The length of the pool can either be 7m or 5m.
How to find the length of the swimming pool?Remember that for a rectangle of length L and width W, the area is:
A = L*W
And the perimeter is:
P = 2*(L + W)
Here we know that the area is 35m² and the perimter is 24m, then we can write:
35m² = L*W
24m = 2*(L + W)
We want to solve this for L.
Using the second equation we can rewrite:
24m/2 = L + W
12m = L + W
Isolating W we get:
W = 12m - L
Replacing that on the other equation we will get:
35m² = L*(12m - L)
The two solutions of that equation are:
L = 7m
L = 5m
These are the two dimensions of the pool, we can take the length as any of these.
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Which of the following will NOT produce a
triangle?
A. angle measures of 47o, 58o, 75o
B. angle measures of 61o, 61o, 58o
C. side lengths of 5.5 ft, 11 ft, and 5.5 ft
D. side lengths of 5 in, 7 in, and 8 in
The statement that will not produce a triangle is side lengths of 5.5 ft, 11 ft, and 5.5 ft, the correct option is C.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
Given;
A. angle measures of 47o, 58o, 75o
Here,47o+ 58o,+75o=180
B. angle measures of 61o, 61o, 58o
Here, 61o+61o+58o=180
C. side lengths of 5.5 ft, 11 ft, and 5.5 ft
5.5+5.5 is not equal to 11
D. side lengths of 5 in, 7 in, and 8 in
5+7 is greater than 8
Therefore, the triangle with side lengths of 5.5 ft, 11 ft, and 5.5 ft is not the triangle.
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Need Help On This The Question is in the picture
22% of the population more than 25 years of age have bachelors degree.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the total population is 298957
66722 cincinnati residents over the age of 25 have the bachelors degree.
We have to find the percent of the population more than 25 years of age have bachelors degree.
x/100×298657=66722
2986.6x=66722
Divide both sides by 2986.6
x=22.340
Hence, 22% of the population more than 25 years of age have bachelors degree.
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What is the best description of the relation in item 2
Answer:
Step-by-step explanation:
One input(x-value) can only have one output(y-value) in order to be a function
On saturday, dylan earned $100 for cleaning a local business. He also walked dogs to earn money, charging $12.50 for each dog he walked. In total, Dylan earned more than $210 on saturday. How many dogs could he have walked on saturday? Write an in inequality
The correct inequality that represent the dogs could he have walked on Saturday is,
⇒ 100 + 12.50x > 210
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
On Saturday, Dylan earned $100 for cleaning a local business.
And, He also walked dogs to earn money, charging $12.50 for each dog he walked.
Now, Let number of dogs = x
Then, We get;
The correct inequality that represent the dogs could he have walked on Saturday is,
⇒ 100 + 12.50x > 210
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how do i solve this howwwwwwwwwwwwwwwwwwwwwww
this System of equations has an infinite solution.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given A system of equation 3x + 5y = 15 and y = -3/5x +3.
Slope interception form of the first equation:
y = -3/5x + 3
Since these equations are the same,
Thus this System of equations has an infinite solution. and a Graph of this is attached below.
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The expression 2x² + 6x-4 represents the area of a square. The area of a rectangle is represented by x²-
3x + 1. Find the combined area of the square and rectangle.
The combined area of the square and rectangle is 3x² + 3x - 3.
How to find the area of a figure?The expression 2x² + 6x - 4 represents the area of a square. The area of a rectangle is represented by x² - 3x + 1. The combined area of the square and the rectangle is the sum of the area of the square and the area of the rectangle.
Therefore,
area of the square = 2x² + 6x - 4
area of the rectangle = x² - 3x + 1
Let's find the combined area as follows:
combine area of the square and rectangle = 2x² + 6x - 4 + x² - 3x + 1
combine area of the square and rectangle = 2x² + x² + 6x - 3x - 4 + 1
combine area of the square and rectangle = 3x² + 3x - 3
Therefore,
the combined area = 3x² + 3x - 3
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Please help I need this
1 Find the measure of angle BOC. I
2 Find the measure of angle DOE.
3 Find the measure of angle AOE
1. [tex]m\angle BOC=45^{\circ}[/tex] since angles on a straight line add to [tex]180^{\circ}[/tex]
2. [tex]m\angle DOE=60^{\circ}[/tex] because vertical angles are congruent
3. [tex]m\angle AOE=120^{\circ}[/tex] because vertical angles are congruent
Please please help!
f(x)=-3x^2-x+5. g(x)=-3x+2. h(x)=-5x^3
1. Find f(x+h)
2. Find (FoG)(x)
3. Find f(g(h(-1))
The value of the functions for the condition is,
1. f(x + h) = 3(x + h)² - (x + h) + 5,
2. (fog)(x) = 27x² -33x + 15,
3. f(g(h(-1))) = 16,060.
What is the function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
Given f(x) = 3x² - x + 5
g(x) = -3x + 2
h(x) = -5x³
1. Find f(x + h),
so f(x) = 3x² - x + 5
substitute x = x+ h
f(x + h) = 3(x + h)² - (x + h) + 5
2. (fog)(x),
f(g(x))
g(x) = -3x + 2
f(-3x + 2) = 3(-3x + 2)² - (-3x + 2) + 5
f(g(x)) = 3(9x² + 4 - 12x) - 2 + 3x + 5
f(g(x)) = 27x² + 12 - 36x - 2 + 3x + 5
f(g(x)) = 27x² -33x + 15
3. Find f(g(h(-1)),
h(x) = -5x³
g(x) = -3x + 2
g(h(x)) = -3(-5x³)² + 2
g(h(x)) = -75x⁶ + 2
f(x) = 3x² - x + 5
f(g(h(x))) = 3(-75x⁶ + 2)² - (-75x⁶ + 2) + 5
f(g(h(x))) = 3(5625x¹² + 4 - 300x⁶) + 75x⁶ - 2 + 5
f(g(h(x))) = 16875x¹² + 12 - 900x⁶ + 75x⁶ -2 + 5
f(g(h(x))) = 16875x¹² - 825x⁶ + 10
substitute x = -1,
f(g(h(-1))) = 16875(-1)¹² - 825(-1)⁶ + 10
f(g(h(-1))) = 16,060
Hence f(x + h) = 3(x + h)² - (x + h) + 5,
2.f(g(x)) = 27x² -33x + 15,
3. f(g(h(-1))) = 16,060.
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Comparing TVs
Clayton County Mathematics Curriculum
Jamon. Histon
Vehicle Viewing, Inc. and Traveling TV Co. have each designed new small HD flat-screen square-shaped televisions to be used
in automobiles. They feel that these will be very popular because of the desire for parents to entertain their children during the
many hours spent in traffic each day. Television size is measured along the diagonal. The diagonal in the Vehicle Viewing, Inc.
television is V75 inches and the Traveling TV Co. television has a diagonal of 8.5 inches.
You are the owner of a packaging company and both Vehicle Viewing, Inc. and Traveling TV Co. have hired you to package their
new televisions.
1. Who has the larger television? How do you know?
PLEASE HELP
The larger television is Vehicle Viewing, explanation is mentioned below,
What is diagonal ?The diagonal of a television refers to the length of a line segment connecting two opposite corners of the screen. It is a way of measuring the size of the television screen, rather than its width or height. The diagonal measurement gives a good indication of the overall screen size and is commonly used as a specification for television screens.
Given that,
Two television,
Vehicle Viewing having diagonal 75 inches
Traveling TV Co having diagonal 8.5 inches
larger television =?
Vehicle Viewing, Inc. has the larger television with a diagonal of 75 inches compared to Traveling TV Co.'s diagonal of 8.5 inches.
This can be determined by simply comparing the two diagonal measurements given.
Hence, the larger television is Vehicle Viewing.
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What are the coordinates of the point where y-4x=1 crosses the y-axis
Answer:
( 0,1)
Step-by-step explanation:
y-4x=1
We want to find the y-intercept ( where it crosses the y-axis).
Let x = 0
y-4*0=1
y = 1
The coordinates of the y-intercept are ( 0,1).
Find the maximum value of the function z=5x+3y subject to the following constraints.
x≥2
y22
6x+7y≤68
The function at its maximum value will be at point (9,2) and its value is 51 which can be derived keeping in mind the constraints that have been given.
What is Maximizing a function ?The maximum value of any kind of a function is the place where the said function reaches its highest point, or vertex, on a graph. If your kind of quadratic equation has something as a negative of a term, it will also have a maximum value.
There are a bit of three ways to find that maximum, depending on which form of a quadratic function you have got.
here, we have,
Herein we can find the closed region ABC from the three equations or constraints given
and can mark the points as
A = (2,2)
B = (5, 2)
C = (9, 2)
if we put up the values of the points, we get
at (9, 2) ,
z=5x+3y
=45+6
=51 that is the maximum value amongst the three.
Thus, the maximum point of the function can be calculated as (9,2)
How do you extract out the maximum or minimum value of a function?
We will at first set out the first derivative of the function to absolute zero and then solve for x to get the exact critical point.
If we then take the second derivative or f’’(x), there in we can find out whether this point will be a maximum or minimum. If the second derivative is seen as positive, it will be a minimum value
What is the maximum value of a function called?
The maximum or minimum value that is calculated over the entire function is called an “Absolute” or “Global” maximum or minimum of the function.
There is presence of only one global maximum (and only one global minimum) but there can be several that is more than one local maximum or minimum
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Find the distance between the two points. Show your work.
Answer:
Below
Step-by-step explanation:
Points (-3,5) and ( 3,1)
distance d can be found using the distance formula ( modified Pyhtagorean theorem)
d^2 = ( x1-x2)^2 + ( y1-y2)^2
d^2 = ( -3 -3)^2 + ( 5-1)^2
d^2 = 36 + 16
d^2 = 52
d = sqrt(52) = 2 sqrt(13)
Miwa has to take two types of medication for her illness.She takes one medication every 6 hours.she takes the other medication every 4 hours.She takes not medication at 7:30 a.m. At what time will Miwa take both medication together again? Answers:A) 11:30 a.m B)1:30 p.m C) 5:30 p.m D) 7:30 p.m
The time at which Miwa takes both medications together again will be 7:30 p.m. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
She takes one medication every 6 hours. She takes the other medication every 4 hours.
The LCM of 4 and 6 will be 12. Then after 12 hours, she takes both medications.
Then the time is given as,
Time = 7: 30 a.m. + 12 hours
Time = 7: 30 p.m.
The time at which Miwa takes both medications together again will be 7:30 p.m. Then the correct option is D.
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I need help with my math homework
To locate the fractions we must divide the unit in the number of the denominator (point A). According to the information, each shell symbol means 2 shells. Mark found 4 fewer shells than Tania. Mark and Carlos found 10 more shells than Mei Ling. Lastly, the numbers are rounded to the nearest number.
How to locate the fractions (Question A)?To locate the fractions we must divide the unit in the part number that says the denominator of the fraction and locate the fraction in the numerator position as shown in the graph. They all go in the first position.
How were the shells distributed (Question B)?Based on the information in the graph, it can be established that:
Each shell symbol means 2 shells.Mark found 4 fewer shells than Tania.Mark and Carlos found 10 more shells than Mei Ling.How to approximate the numbers in the graph (Question C)?To approximate the numbers we must identify which of the numbers in the graph is closest:
98 is almost 100.151 is almost 200.278 is almost 300.336 is almost 300.120 is almost 100.189 is almost 200.249 is almost 200.303 is almost 300.Learn more about numbers in: https://brainly.com/question/17429689
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For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.
x = y²
Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one.
The missing entries would be x = 4 and y = 2.
What is equation?Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.
In this equation, x and y are variables. To determine the values of the missing entries, we need to solve the equation. The equation is a quadratic equation of the form y2 = x. To solve it, we need to take the square root of both sides of the equation. This gives us the solution y = √x. So, the value of the missing entries is √x.
For example, if x = 4, then the value of y would be √4 = 2. Therefore, the missing entries would be x = 4 and y = 2.
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In Fig. 12.35, if ATB = 82°, calculate the angles of ABC
Answer:
In Fig. 12.35, if ATB = 82°, then the angles of ABC would be A = 82°, B = 98°, and C = 180°. This can be determined by using the fact that the sum of the angles in a triangle is 180°.
Step-by-step explanation: