Answer:
Ayanda will receive R20,160, Zipho will receive R15,120, and Palesa will receive R10,080.
Step-by-step explanation:
We can use the ratio of 4:3:2 to find the total number of parts:
4 + 3 + 2 = 9
This means that the money will be divided into 9 equal parts, and Ayanda will get 4 parts, Zipho will get 3 parts, and Palesa will get 2 parts.
To find the value of one part, we divide the total amount by 9:
45,360 / 9 = 5,040
Therefore, one part is worth R5,040.
Now we can find the amount of money each person will receive by multiplying their respective parts by the value of one part:
Ayanda: 4 parts × R5,040/part = R20,160
Zipho: 3 parts × R5,040/part = R15,120
Palesa: 2 parts × R5,040/part = R10,080
Therefore, Ayanda will receive R20,160, Zipho will receive R15,120, and Palesa will receive R10,080.
Amari gathered a random sample of favorite beverages of the students in her class. She calculated data on different variables. For one of the variables that she collected, she constructed a bar graph.
Which of the following variables did she use?
Price of beverage
Type of beverage
The volume of the beverage
Number of ounces in the beverage
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 44 27 12 17
Which of the following graphs correctly displays the data?
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled hot fudge going to a value of 17, the second bar labeled chocolate chips going to a value of 12, the third bar labeled sprinkles going to a value of 27, and the fourth bar labeled nuts going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled hot fudge going to a value of 17, the second bar labeled chocolate chips going to a value of 12, the third bar labeled sprinkles going to a value of 27, and the fourth bar labeled nuts going to a value of 44
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.
{13, 0, 20, 27, 27, 31, 13, 30, 30, 26, 20, 27, 30, 11, 30, 4}
Which of the following stem-and-leaf plots correctly graphs the data set?
2021 Riverside Red Dragon Football Season Points
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3
2 0 6 7
3 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
1 1 3
2 0 6 7
3 0 1
Key 1|1 = 11
A principal was interested in the number of hours slept per night by 14-year-olds in a particular town. She gathered data from a random sample of ten 14-year-olds from a local youth group in the town and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for her data?
Stem-and-leaf plot
Histogram
Circle graph
Bar graph
Answer:
The first question asks which variable Amari used to construct a bar graph. It is not specified which variable she used, so we cannot determine the answer.
The second question asks which graph correctly displays the data collected from the customers about their favorite topping. The data is nominal, so a bar graph would be appropriate. The correct answer is:
c) a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
The third question asks which stem-and-leaf plot correctly graphs the data set of points scored by the Riverside Red Dragons during the 2021 football season. The correct answer is:
c)
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 1
Key 1|1 = 11
The fourth question asks which graphical representation would be best for a principal interested in the number of hours slept per night by 14-year-olds in a particular town. The data is quantitative, so a histogram would be appropriate. The correct answer is:
b) Histogram
Fiona’s family is replacing a carpet
Graph the following functions and determine where F(x) = G(x). Select all that apply.
0.414
-2
-0.101
-7.89
1.586
4.414
The graph of the two functions is different from each other.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function.
In the function as the value of the independent variable varies the value of the dependent variable also varies.
When we plot the graph of the function [tex]f(x) = \dfrac{x + 2 }{x^2-4}[/tex] and the function g(x) = |(x + 2 )} - 6.
Both graphs are different in nature and shape from each other. The graph of both functions is attached with the answer below.
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How do you find the surface area, in square meters, of a triangular prism
Answer:
Step-by-step explanation:
Surface area of a triangular prism: The surface area of a triangular prism is given by A=bh+(b1+b2+b3)l units2 A = b h + ( b 1 + b 2 + b 3 ) l units 2 where b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and l is the length of the prism.
Determine if it is Exponential growth or decay. Use the information below to plug in the numbers to the formula. f(x)=a(1+or-r)^x
The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,200
decay rate: 12.5%
f(x) = 450
The exponential function is a decay, and it can be written as:
f(x) = 1,200*( 0.875)^x
Is it an exponential growth or decay?The general exponential function can be written as:
f(x) = A*(b)^x
Where A is the initial value and b is the base.
Here we have a decay rate, so this is an exponential decay, and we can write:
b = 1 - r
Where r is the decay rate in decimal form:
b = 1 - 0.125 = 0.875
And the initial value is 1,200, so the exponential function is:
f(x) = 1,200*( 0.875)^x
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Tammy's home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3.5% every year. If Tammy sells her home after thirteen years, how much profit will she have made, to the nearest hundred dollars?
In linear equation, Tammy will have made a profit of $103,768.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
Let x be the number of years after Tammy purchased her home.
We have been given that Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3.5% every year.
We can see that value of house will increase exponentially as the value of increases 3.5% per year.
Since an exponential function is in form
y = a * bˣ
a = Initial value,
b = For growth b is in form (1+r) where r represents growth rate in decimal form.
Let us convert our given growth rate in decimal form.
3.5% = 0.035
Upon substituting our values in exponential form of function we will get the value (y) of Tammy's home after x years as
y = 184000(1 + 0.035)ˣ
y = 184000(1.035)ˣ
Therefore, the function y = 184000(1.035)ˣ represents value of Tammy's home after x years of purchase.
Let us find the value of home after 13 years by substituting x=13 in our function.
y = 184000(1.035)¹³
y = 184000 * 1.56395606
y = 287767.915
Let us subtract cost of the home from the value of home after 13 years to find the amount of profit.
The amount of profit, if tammy sells her home after 13 years = 287767.915 - 184000
The amount of profit, if tammy sells her home after 13 years = 103767.915 - 103,768
Therefore, Tammy will have made a profit of $103,768.
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a.x + 5 <8y x + 5>8
Solving the inequalities for x and y, we have x > 3 and y > 1
What is inequalities?Inequalities are mathematical expressiοns that cοmpare twο quantities οr values and indicate their relative sizes. Inequalities are represented using symbοls such as < (less than), > (greater than), ≤ (less than οr equal tο), and ≥ (greater than οr equal tο).
Here Given that the twο inequalities are:
x + 5 < 8y
And
x + 5 > 8
x > 8 - 5
x > 3
Substate the value of x in x + 5 < 8y:
x + 5 < 8y
x < 8y - 5
3 < x < 8y - 5
3 < 8y - 5
3 + 5 < 8y
8 < 8y
y > 8/8
y > 1
Thus, Solving the inequalities for x and y, we have x > 3 and y > 1
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Complete question:
Solve the for x and y.
a. x + 5 < 8y
x + 5 > 8
Help with math problems
The inverse function of the given is y^-1=x/2 -4.
What is inverse function?The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.
Here the given function is,
=> y = 2x+8
Now interchange x and y then
=> x=2y+8
Now simplify the expression with respect to y then,
=> x-8=2y
=> y =x/2 -4
=>y^-1=x/2 -4
Hence inverse function is, y^-1=x/2 -4
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Which is the same as dividing a number by 1,000? CLEAR CHECK Move the decimal 3 places to the right. Move the decimal 3 places to the left. Move the decimal 1 place to the right. Move the decimal 1 place to the left.
Answer:
Moving the decimal 3 places to the left.
Step-by-step explanation:
Take the number 3000 and divide it by 1000 in your calculator. You will get the answer 3. Although we do not write it, the decimal in the number 3000 is at the end of the number (after the last zero). When we divide by 1000, we move the decimal 3 places to the let. The decimal in the number 3 is at the end or to the right of the 3, we just do not write the decimal.
Helping in the name of Jesus.
You invest $3000 in the Clearwater mutual fund. Over 4 years, your investment grows in value
to $8400. What are your total and annual returns for the 4-year period?
The percentage of annual returns is 25.63% and total return is $5400.
What exactly is percentage?A percentage is a way of expressing a portion or part of a whole as a fraction of 100. The word "percent" comes from the Latin per centum, which means "per hundred". Percentages are commonly used to represent rates of change, such as growth rates or inflation rates, and to express proportions, such as the percentage of people in a population who have a certain characteristic or the percentage of a product's ingredients that are natural.
To calculate a percentage, you can use the following formula:
percentage = (part / whole) x 100
Now,
To calculate the total return on your investment, we need to find the profit made over the 4-year period.
Total return = final value of investment - initial investment
Total return = $8400 - $3000 = $5400
To calculate the annual return, we can use the formula:
Annual return = ((1 + total return percentage)^(1/number of years)) - 1
We can find the total return percentage by dividing the total return by the initial investment and multiplying by 100:
Total return percentage = (total return / initial investment) x 100
Total return percentage = ($5400 / $3000) x 100 = 180%
Using the formula for annual return, we get:
Annual return = ((1 + 1.8)¹/⁴-¹
Annual return = 0.2563 or 25.63%
Therefore, your total return on the investment was $5400 and the annual return averaged 25.63% over the 4-year period.
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PLEASE IT IS TIMED!!!!!!!!! If f(x)=x^3 and g(x)=(x+4)^3 which description represents the graph of function g? A. a vertical transformation of function f 4 units down B. a horizontal transformation of function f 4 units left C. a horizontal transformation of function f 4 units right D. a vertical transformation of function f 4 units up
Answer:
5175 7 ehsjdjdrusjskskekrirr
Does this represent a function yes no because
The given data does not belong to the function.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
A function is defined as a relation between a set of inputs having one output each.
In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Every function has a domain and codomain or range.
Since in the given data,
at the different values of y, the value of x is the same. that is the first violation of the rule of function.
Therefore, the given data does not belong to the function.
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Isabel is in a hot air balloon that has just taken off and is now floating 140 meters above
its launching point. Debbie is standing on the ground, 147 meters away from the
launching point. How many meters apart are Isabel and Debbie?
?
147 m
140 m
Answer: 390
Step-by-step explanation:
m
Isabel is in a hot air balloon that has just taken off and is now floating 140 meters above
its launching point. Debbie is standing on the ground, 147 meters away from the
launching point. How many meters apart are Isabel and Debb
Answer:
Isabel and Debbie are 203m apart.
Step-by-step explanation:
Since Isabel went straight up in the balloon and Debbie is straight over presumably on flat ground, they make a right triangle with the third point being the launching spot.
It is a right triangle. See image. Use the Pythagorean Theorem.
140^2 + 147^2 = d^2
Where d is the distance between Isabel and Debbie.
see image for work shown.
Use the simple interest formula to find out how much interest Graham earns after 5 years. if he
leaves his $1,320 in the account with (3.2% interest.
Answer:
Step-by-step explanation:
[tex]I=Prt[/tex] P=principal, r =interest rate, t=time
[tex]I=1,320[/tex] × [tex]\frac{3.2}{100}[/tex] × [tex]5[/tex]
[tex]= 211.20[/tex]
He will earn $211.20 interest.
Cuanto Producent 300.00 al 12%
Answer
La respuesta es 264.00
In a classroom 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts.
Answer:
Step-by-step explanation:
Blue shirts: [tex]\frac{1}{6}[/tex]×[tex]12=2[/tex]
White shirts: [tex]\frac{2}{3}[/tex]×[tex]12=8[/tex]
∴ there are 2 students(12-2-8=2) wearing a different shirt.
PLEASE ANSWER! (+35 points) Solve for y, solution can not be negative
1.y=6 2. y=3 3. y=9/5 4.y=3/2 5. y=3 6. y= 3
-2 ( x + 2 ) is greater than 14
-2x - 4 is not greater than 14
Step-by-step explanation:
I don't understand the question but I hope this helps
(-2 × X) + (-2 × 2)
i need the answers asap, please help me.
The polynomial expressions when simplified are 2g² + 3g - 1, 24c⁵d - 8cd² + 12c³d³ + 4cd, (m² + 5m + 4) ÷ (m + 1) = m + 4.
Others are added below
Simplifying the polynomial expressionsExpression 1
The expression is given as
(14g³ + 21g² - 7g)/7g
Divide the numerator by the denominator
So, we have
2g² + 3g - 1
Expression 2
Here, we have
24c⁵d - 8cd² + 12c³d³ + 4cd
The expression is in its simplified state
Simplifying by long divisonExpression 3
Given that
(m² + 5m + 4) ÷ (m + 1)
By long division, we have
m + 4
m + 1 | m² + 5m + 4
m² + m
-------------------------------------
4m + 4
4m + 4
-------------------------------------
0
This means that (m² + 5m + 4) ÷ (m + 1) = m + 4
Expression 4
Given that
(c² - 2c - 15)(c + 3)⁻¹
By long division, we have
c - 5
c + 3 | c² - 2c - 15
c² + 3c
-------------------------------------
-5c - 15
-5c - 15
-------------------------------------
0
This means that (c² - 2c - 15)(c + 3)⁻¹ = c - 5
Simplifying by synthetic divisionExpression 5
Here, we have
(2y² + 10y + 17) ÷ (y + 3)
By synthetic division, we have
-3 | 2 10 17
|__-6_-12______
2 4 5
This means that (2y² + 10y + 17) ÷ (y + 3) = 2y + 4 + 5/(y + 3)
Expression 6
Here, we have
(2p³ - p² - 10p + 8)(p - 2)⁻¹
By synthetic division, we have
2 | 2 -1 -10 8
|___4__6__-8____
2 3 -4 0
This means that (2p³ - p² - 10p + 8)(p - 2)⁻¹ = 2p² + 2p - 4
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in quadrilateral JKLM, angle K is a right angle, Is JKLM a rectangle
Answer:
Step-by-step explanation:
catss
ssssssssssssssssssssssssssssssssssssssssssssssssss
How many gallons is two liters
Answer:
Step-by-step explanation:
1 gallon= 4 liters
2gallons=8liters
8liters answered
But exactly: 7.57082 liters
Find the coordinates of the center and the measure of the radius for a circle whose equation is x^2+(y-5)^2=64
From the equation x²+ (y-5)² = 64, the coordinates of the center of the circle are (0, 5), and the radius of the circle is 8 units.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given equation of the circle is in the standard form -
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and r is the radius.
Comparing this standard form with the given equation, we get -
(x - 0)² + (y - 5)² = 8²
So the center of the circle is (0, 5) and the radius is 8.
Therefore, the center of the circle is (0, 5), and the radius is 8 units.
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what is the mean,median,mode,range of 14,9,20,5,17,13
Identify the relationship between the angles
Answer:
∠x and ∠y are congruent or equal
Step-by-step explanation:
∠x and ∠y are congruent or equal because their vertical angles are alternate interior angles.
OR vertical angle of ∠x is congruent with ∠y because they are both corresponding angles
OR vertical angle of ∠y is congruent with ∠x because they are both corresponding angles
Solve the equation 13coshx + 12 sinhx = 23/4
Answer:
5 3/4
Hope this is what you're looking for
Solve for x
^ use picture
Check the picture below.
[tex](x+18)(18)=(24+16)(16)\implies 18x+324=640 \\\\\\ 18x=316\implies x=\cfrac{316}{18}\implies x=\cfrac{158}{9}\implies x=17\frac{5}{9}[/tex]
PLEASE HELP PLEASE ASAP PLEASE HELP
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
Answer:
Step-by-step explanation:
Well when rotating 90° RSTU counterclockwise we get MNPQ.
When rotating 90° RSTU clockwise we get it the reflection across the y-axis.
If 6+2=8, does 6+2+3=8+3? Why or not
Answer: Yes
Step-by-step explanation:
Well, since 6+2, 6+2+3 does equal 8 plus 3 because 6+2+3 is basically saying 8+3, but just broken up.
Let x = the length of one side of the building. Let y = the length of one side of the entrance.
Write an expression to find
1. Volume of the whole box:
2. Volume of the cube that makes the entrance:
3. Volume of the building:
The box volume, entrance volume and building volume are 50x², y³ and 50x² - y³ respectively
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.
a) The volume of the whole box is:
Volume = length * width * height = x * x * 50 = 50x²
b) The volume of the entrance is:
Volume = length * width * height = y * y * y = y³
c) Volume of building is:
Building volume = volume of the whole box - volume of the entrance
Building volume = 50x² - y³
The building volume is 50x² - y³
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What is the value of b?
10
16
20
26
The value of b from the given hyperbolic equation is 10. Therefore, option A is the correct answer.
What is a hyperbola?In mathematics, a hyperbola is an important conic section formed by the intersection of the double cone by a plane surface, but not necessarily at the center. A hyperbola is symmetric along the conjugate axis, and shares many similarities with the ellipse. Concepts like foci, directrix, latus rectum, eccentricity, apply to a hyperbola.
Given that, the equation x²/24² -y²/b² =1 represents a hyperbola centered at the origin with a directrix of x=576/26.
Here, a=24
Then c²=a²+b²
c²= 24²+b²
c=√(576+b²)
We know that, directrix = x =± a²/c
Now, 576/26 = 576/√(576+b²)
√(576+b²)=26
576+b²=26²
576+b²=676
b²=100
b=10
Therefore, option A is the correct answer.
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Answer:
in photo I provided :)
Step-by-step explanation:
hope this helps <3