Ayana is 6/5 times as tall as Chike.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Height of Ayana = 1 1/2 meter
And, Height of Chike = 1 1/4 meter
Now, We can simply solve the above problem as follows;
Height of Ayana = 1(1/2) meters
We can also write it as;
= 3/2 meters
And, Height of Chike = 5/4 meters
Hence, To compare the given fractions we will first make the denominator equal by taking the LCM.
LCM of 2 and 4 = 8
Hence, Heights of Ayana can be rewritten as, 12/8 meters
And, Height of Chike can be rewritten as, 10/8
Now, Comparing the height of Ayana and Chike as;
= (12/8) ÷ (10/8)
= 12/10
= 6/5
Hence, Ayana is 6/5 times as tall as Chike.
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Complete question is this,
Ayana is 1(1/2) meters tall. Chike is 1(1/4) meters tall. Complete the comparison.
Ayana is ____ times as tall as chike.
Why is the lac curve called the envelope curve?
The lac curve, also known as the envelope curve, is a curve that shows the maximum amount of work that can be done in a given period of time.
It is defined by the equation: W = min {W1 + W2, W3, W4, ..., Wn}, where W1, W2, W3, W4, ..., and Wn are the individual work tasks. The envelope curve is called such because it forms an envelope that encompasses all of the individual tasks on the graph, visually representing the maximum amount of work that can be done within the given timeline. This curve can be used to assess the efficiency of a task or project, as well as to analyze the impact of changes in the workload, deadlines, and resources.
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(Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 8 inches and height of 6 inches.
Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold?
Approximate using pi equals 355 over 113. )
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 6 squared times 4
V equals 355 over 113 times 4 squared times 6
The method that is used to calculate the cubic units of cake batter needed to fill the mold is V equals 355 over 113 times 4 squared times 6. (third option)
How much cake batter is needed to fill the mold?A cylinder is a three-dimensional object. It is a prism with a circular base. The amount of cake batter that is needed to fill the mold is equal to the volume of the cylinder.
Volume of a cylinder = πr²h
Where:
π = 355 / 113 = pir = radius = diameter / 2 = 8 / 2 = 4 inchesh = height= 355/133 x 4² x 6
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The answer is V equals 355 over 113 times 4 squared times 6, thus, option (d)
The formula for volume of a cylinder is: V= πr2h, so if pi = 355/113 then
V= (355/113)(4)2(6)
Goodluck! ~izzy~
If Figure 1 is similar to Figure 2, which of the following must be true?
there just reflected because the shape is just refected to the other side it the same but smaller
Find the radius of each circle. round your answer to the nearest tenth
area=64π ft²
Answer: 64 MBS/43XY
Step-by-step explanation:
courseeeeeeeeee
Answer: r =[tex]\sqrt{4/\pi } =\sqrt{64/\pi } =4.51352[/tex]
Step-by-step explanation:
how to calculate the median in excel?
Answer:
Step-by-step explanation:
By using the Median Function in Excel =Median()
A student has a collection of 72 baseball cards. All of the cards are stored in
an album with 8 cards on each page. Which expression can be used to find the
total number of pages of baseball cards in the student's album?
The required expression that can be used to find the total number of pages of baseball cards in the student's album is P = 72 / 8.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
To find the total number of pages of baseball cards in the student's album, we need to divide the total number of cards by the number of cards per page.
Let's call the number of pages "P". Then we have:
P = 72 / 8
So, the number of pages is equal to 9.
So, the expression that can be used to find the total number of pages of baseball cards in the student's album is P = 72 / 8.
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Sixty percent of the students preferred raisins to banana chips. If there
were 95 students in all, how many preferred banana chips
The number of students who preferred banana chips are 57.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that sixty per cent of the students preferred raisins to banana chips. If there were 95 students in all, the number of the students will be calculated as:-
Number = 95 x 60%
Number = 95 x 60 / 100
Number = 95 x 0.6
Number = 57
Therefore, the number of students who choose banana chips is 57.
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According to the yearly compound interest, a sum of money amounts to Rs. 6050 in 2 year and Rs. 6655 in 3 years. What was the sum? Ans: Rs. 5000
The principal sum of the given compound interest is Rs 5000.
What is principal amount?The total amount of money borrowed (or invested), not including any interest or dividends, also called sum.
Given that, a sum of money amounts to Rs. 6050 in 2 year and Rs. 6655 in 3 years. we are asked to find the principal amount or sum,
CI = P(1+r/100)ⁿ
P = principal amount, CI = compound interest, r = rate, n = time
Therefore,
CI = 6050(1+r/100)²....(i)
CI = 6655(1+r/100)³....(ii)
Diving eq(ii) by eq(i)
6655 / 6050 = (1+r/100)
1+r/100 = 1.1
r/100 = 1.1-1
r/100 = 0.1
r = 10%
Put r = 10% in eq(i)
6050 = p(1.1)²
p = 5000
Hence, the principal sum of the given compound interest is Rs 5000.
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What are tables in a research paper?
Tables and figures area way of presenting data in an organized form or more in a presentable way to attract more audience.
With tables and figures, it arranges your data to a simplified form and also it makes the content easy to understand for the front person.
Tables and figures in scientific papers are wonderful ways of presenting data. Effective data presentation in research papers requires understanding your reader and the elements that comprise a table.
It also several elements, including the legend, column titles, and body.
With all this tables in a research paper helps the reader understand the content for the data more effectively and efficiently.
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How many cg are in g?
Answer:
there are 100 centigrams in a gram
Step-by-step explanation:
i need help. thank you
The following compositions are shown below:
Case 1
f ° g (x) = x, g ° f (x) = x
The two functions are inverses of each other.
Case 2
f ° g (x) = x, g ° f (x) = x
The two functions are inverses of each other.
How to find the composition between two functions and determine if the two functions are inverses or not
In this problem we need to determine the composition between two functions and determine if both functions are inverses of each other. A composition is defined below:
f ° g (x) = f [g (x)]
Where the independent variable of the function f(x) is substituted by function g(x). Two functions are inverses if and only if the following condition is fulfilled:
f[g (x)] = g[f (x)]
Now we proceed to determine the compositions and relationships for each case:
Case 1
f(x) = 3 · x
g(x) = x / 3
f ° g (x) = 3 · (x / 3)
f ° g (x) = x
g ° f (x) = (3 · x) / 3
g ° f (x) = x
Functions f(x) and g(x) are inverses of each other.
Case 2
f(x) = (x - 3) / 2
g(x) = 2 · x + 3
f ° g (x) = [(2 · x + 3) - 3] / 2
f ° g (x) = 2 · x / 2
f ° g (x) = x
g ° f (x) = 2 · [(x - 3) / 2] + 3
g ° f (x) = (x - 3) + 3
g ° f (x) = x
Functions f(x) and g(x) are inverses of each other.
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Qualitative data contribute to analysis and should aid the explanation of a process that may otherwise be unclear if explained by quantitative data only. (T/F)
The given statement "Qualitative data contribute to analysis and should aid the explanation of a process that may otherwise be unclear if explained by quantitative data only." is true.
Qualitative data is non-numeric information that provides insight into attitudes, behaviors, motivations, and perceptions. It is typically collected through open-ended questions, observation, and interviews. Qualitative data can provide a rich and nuanced understanding of a process or phenomenon that may not be possible to obtain through quantitative data alone. This is because qualitative data can help to uncover the underlying reasons behind a process, how people experience it, and how it is perceived by different groups. As a result, qualitative data can provide valuable context and insight into a process that may otherwise be unclear if explained by quantitative data alone.
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how to use calculus cheat sheet?
A calculus cheat sheet can be a helpful tool to assist you in studying and reviewing calculus concepts.
Here are some tips for how to use a calculus cheat sheet effectively:
1. Familiarize yourself with the content: Take the time to read through the entire cheat sheet to get a sense of what topics are covered and how the information is organized.
2. Use it as a study aid: A calculus cheat sheet can be a helpful study aid to review concepts and formulas before a test or exam. Work through practice problems and apply the concepts you have learned.
3. Keep it handy: Print out the cheat sheet or save it to your phone or computer so that you can refer to it whenever you need to.
4. Use it as a reference: As you work on calculus problems, use the cheat sheet to remind yourself of key concepts, formulas, and rules.
5. Customize it: You can create your own cheat sheet, which includes the formulas and concepts that you find most challenging. This will help you focus on the areas that you need to improve upon.
Remember that while a calculus cheat sheet can be a helpful tool, it is important to develop a deep understanding of calculus concepts through practice, problem-solving, and building intuition. The cheat sheet should be used as a supplement to your learning, not a replacement for it.
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what is 73kg to lbs?
73 kg is equivalent to approximately 160.937 pound (lbs).
Kilogram (kg) and pound (lb) are both units of mass commonly used in different parts of the world. Kilogram is the base unit of mass in the International System of Units (SI) and is defined as the mass of the International Prototype of the Kilogram, which is a platinum-iridium cylinder kept at the International Bureau of Weights and Measures in France.
Pound, on the other hand, is a unit of mass commonly used in the United States, the United Kingdom, and other countries, which is defined as exactly 0.45359237 kilograms. This value is based on the international avoirdupois pound, which is defined as exactly 0.45359237 kg.
To convert kilograms to pounds, you can use the conversion factor of 2.20462 lbs/kg. To convert pounds to kilograms, you can use the conversion factor of 0.45359237 kg/lb.
To convert 73 kilograms (kg) to pounds (lbs), you can use the conversion factor of 2.20462.
So,
73 kg * 2.20462 lbs/kg = 160.937 lbs (rounded to three decimal places)
Therefore, 73 kg is equivalent to approximately 160.937 lbs.
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can anyone help me with this
The graph represents y = −1/4 x − 3. Which coordinate pair is NOT a solution for the equation? Responses A(−8, −1) (−8, −1) B(0, −3) (0, −3) C(−2, −4) (−2, −4) D(4, −4) (4, −4) Question 2
The equation given in the problem is shown below:
[tex]y=-\frac{1}{4} x-3[/tex]
Here are the answer choices:
a) (-8,-1)
b) (0,-3)
c) (-2,-4)
d) (4,-4)
We are asked to choose the coordinate pair that is NOT a solution, so let's just test each option!
To test answer choice "a", plug in [tex]x=-8[/tex] and [tex]y=-1[/tex] into the original equation, then simplify:
Plug in values: [tex]-1=-\frac{1}{4} (-8)-3[/tex]
Multiply: [tex]-1=2-3[/tex]
Subtract: [tex]-1=-1[/tex]
Notice that we now have a true expression, therefore option "a" IS A SOLUTION, and is thus not the correct answer.
Repeat for option "b" (0, -3):
Plug in values: [tex]-3=-\frac{1}{4}(0)-3[/tex]
Multiply: [tex]-3=-3[/tex]
Notice that we now have a true expression, therefore option "b" IS A SOLUTION, and is thus not the correct answer.
Repeat for option "c" (-2, -4):
Plug in values: [tex]-4=-\frac{1}{4}(-2)-3[/tex]
Multiply: [tex]-4=\frac{1}{2} -3[/tex]
Subtract: [tex]-4=-\frac{5}{2}[/tex]
Notice that we now have a false expression, therefore option "c" IS NOT SOLUTION, and is thus the correct answer.
To ensure we have the right option, check option "d" as well (4, -4):
Plug in values:[tex]-4=-\frac{1}{4} (4)-3[/tex]
Multiply: [tex]-4=-1-3[/tex]
Subtract: [tex]-4=-4[/tex]
Notice that we now have a false expression, therefore option "d" IS A SOLUTION, and is thus not the correct answer.
Notice that we have now checked all possible options and only option "c" was evaluated as a false expression, therefore option C is the correct choice in regard to this question.
Let me know if you have any questions!
In 2015 the highest tower in the world is the tower Burj Khalifa in Dubai.
It measures 828 meters of height
Alex have represented this tower at the scale 1=4000
What is the height of the tower in his draw ?
The height of the tower in Alex's drawing is 20.7 centimeters.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
We need to find the height of the tower in Alex's drawing.
Let us multiply the actual height of the tower by the scale factor.
Scale factor = 1 : 4000
Height of the actual tower = 828 meters
Height of the tower in Alex's drawing = 828 meters x (1/4000) = 0.207 meters or 20.7 centimeters.
Therefore, the height of the tower in Alex's drawing is 20.7 centimeters.
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Find the value of p for which the polynomial x3 + 4x²-px-18 is exactly divisible by x-2. Hence factories the polynomial
Solution in da attachment!! :)
Solve this problem pls
The simplification of the given expression
[tex]3 \frac{1}{5} x + 10 \frac{7}{9} - 2 \frac{2}{5} x - 10 \frac{8}{9} [/tex]
is
[tex]\frac{4}{5}x - \frac{1}{9}x[/tex]
How to simplify expressions?[tex]3 \frac{1}{5} x + 10 \frac{7}{9} - 2 \frac{2}{5} x - 10 \frac{8}{9} [/tex]
Change into improper fraction
[tex] = \frac{16}{5} x + \frac{97}{9} - \frac{12}{5}x - \frac{98}{9} [/tex]
[tex] [/tex]
Collect like terms
[tex]= \frac{16}{5}x - \frac{12}{5}x + \frac{97}{9} - \frac{98}{9} [/tex]
Subtract
[tex] = \frac{4}{5}x - \frac{1}{9}x [/tex]
Consequently, the solution to the expression is
[tex] = \frac{4}{5}x - \frac{1}{9}x [/tex]
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Answer:
= 36x - 5.
Step-by-step explanation:
Sorry for my cancellation
Given the following cash inflow at the end of each year, what is the future value of this cash flow at 5%, 8%, and 17% interest rates at the end of year 7? What is the future value of this cash flow at 5% interest rate at the end of year 7?
A $1000 cash inflows at the end of each year would have a future value of $8,142.01, $8,922.80 and $11.772012 at the end of the year 7 for interest rates of 5% , 8% and 17% respectively.
Future Value:Annuities are a financial instrument that generates a regular stream of cash. They have both a present and future value dependent upon the value of the cash payment, the number of payment periods and the interest rate. This question does not specify the cash inflow amount so an answer will be generated that can be scaled on multiples of $1000.
Let C represent the cash inflow at the end of each year. The future value (FV) of this cash inflow is given by:
FV = [tex]C[((1+i)^n-1)/i][/tex]
where i is the annual interest rate and n is the number of years.
(a) For i = 5% and n = 7
FV = [tex]C [((1+0.05)^7-1)/0.05][/tex]
FV= C[(1.047100-1)/0.05]
FV = C [8.142008]
(b) For i = 8% and n = 7
FV = [tex]C [((1+0.08)^7-1)/0.08][/tex]
FV = C[(1.713824 - 1)/0.08]
FV = C[8.922803]
(c) For i = 17% and n = 7
FV = [tex]C [((1+0.17)^7-1)/0.17][/tex]
FV = C[(3.001242 - 1)/ 0.17]
FV = C[11.772012]
Therefore, A $1000 cash inflows at the end of each year would have a future value of $8,142.01, $8,922.80 and $11.772012 at the end of the year 7 for interest rates of 5% , 8% and 17% respectively.
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HELP ASAP compare these
1.) 2 (1/5)x-5
2.) y=2x
Both the equations cut at the point (- 3.125, - 6.25).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equations are,
1) 2(1/5)x - 5
2) y = 2x
Now, We can draw the equations by using tool,
Hence, We get the graph of function 2(1/5)x - 5 shows by green line and y = 2x shows by red line.
Clearly, Both the function are cut at the point (- 3.125, - 6.25).
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Heidi earned $1130 a week last year. What was her yearly salary ?
A. $52,800
B. $54,240
C. $57,200
D. $58,760
Answer:
Its D
Step-by-step explanation:
1130 / 7 = 161
161 x 365 = 58 765
Answer: D
Step-by-step explanation:
Need some help please
x+6y+10
llllllllllllllllllllllllllllllllllllllllllllllllll
line 1 is y=2x line 2 is y=2x-3 how many solutions are there and whats the coordinates.
Answer:
no solutions
Step-by-step explanation:
y = 2x → (1)
y = 2x - 3 → (2)
since both equations express y in terms of . equate the right sides to find any solutions.
2x - 3 = 2x ( add 3 to both sides )
2x = 2x + 3 ( subtract 2x from both sides )
0 = 3 ← false statement
this indicates there are no solutions
Can someone help me with this aleks question
The value of angles are,
∠ H = 20°
∠ G = 100°
∠ I = 60°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two triangles are similar.
Now, We have in triangle XYZ,
∠Y = 20°
∠Z = 100°
Hence, ∠ X = 180 - (100 + 20)
∠ X = 60°
Thus, By definition of similarity;
∠ H = ∠ Y = 20°
∠ G = ∠ Z = 100°
∠ X = ∠ I = 60°
Thus, The value of angles are,
∠ H = 20°
∠ G = 100°
∠ I = 60°
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Three friends go to a book fair. Allen spends $2.60. Maria spends 4 times as much as Allen. Akio spends $3.55 less than Maria.
How much does Akio spend?
PLS NEED THE HELP!!
Answer:
$6.85
Step-by-step explanation:
$2.60 x 4 is 10.4 and that is how much Maria spends. Akio spends $3.55 less than Maria. So, 10.4 - 3.55 which is 6.85 and that is the answer.
Can y’all help me and solve for x
and I’m not sure if my answer is right
Mathematics Grade 11 Capricom Sou SECTION A Part 1 Solve for x in the following equation by using exponential rules 1. 27**** = 3³x² x 9
The solution to the expression is x = 1/9
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
27**** = 3³x² x 9
Express properly
27 = 3³x² * 9
We can start solving this equation by rearranging it to isolate the variable x:
27 = 243x
Now we divide both sides by 243 to find x
x = 27/243
Evaluate
x = 1/9
Hence, the solution is 1/9
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If m∠A = 50° and m∠B = 45°, what is m∠H?
(If anyone knows all the answer to any of these please provide a link.)
(It's called Chapter 5 Test, 3B Ratio, Proportion, and Similar Figures)
The measure of m∠H in the triangle is 85°.
How to find the measure of m∠H?
Similar triangles are two triangles that have the same shape but can have different sizes. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.
Since ΔABC and ΔFGH are similar, we can say:
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠A + m∠B + m∠C = 180° (sum of angles in a triangle)
We have m∠A = 50° and m∠B = 45°
50° + 45° + m∠C = 180°
m∠C = 180° - 50° - 45°
m∠C = 85°
Since m∠C = m∠H
Thus, m∠H = 85°
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Please hurry, and I will give brainiest
Describe what your first step would be in solving the system of equations:
4x + 2y = 11
3x - y = 9
The first step is to describe the method to take
How to determine the first stepTo solve the system of equations 4x + 2y = 11 and 3x - y = 9, the first step would be to choose a method to solve the system.
There are several methods for solving systems of equations, including:
Substitution methodElimination methodGraphing methodOne common method is the substitution method, which involves solving one equation for one variable and then substituting the expression for that variable into the other equation.
For example, we could solve the second equation 3x - y = 9 for y to get:
y = 3x + 9
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