The original price of the pair of shoes is $62.5.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = 100%
Offer price = $50
Offer = 20%
Now,
80% = 50
Multiply 100/80 on both sides.
100% = 100/80 x 50
100% = $62.5
Thus,
The original price is $62.5.
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Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 8 boards, how long are they altogether?
The length of the wood altogether is 340 inches
How to calculate the length of the wood?Robert is building a deck
Each piece of the wood measures 42.5 inches
Robert has 8 boards
The length of the wood altogether is
= 42.5 × 8
= 340
Hence the length of the wood is 340 inches
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If an investment company pays 6% compounded continuesly, how much should you deposit now to have $10,000 5 years from now?
The amount of money should you deposit now to have $10,000 5 years from now is $7407.
What is compound interest?Theoretically, continuously compounded interest means that interest is continuously earned on an account balance as well as reinvested into the balance to increase future interest earnings.
Given that If an investment company pays 6% compounded continuously and $10,000 for 5 years.
The amount of money invested will be calculated by the formula below,
[tex]P = P_o(e)^{rt}\\10000 = P_o ( e)^{0.06\times5}\\[/tex]
P₀ = 10000 / 1.35
P₀ = 7407
The amount of money invested would be 7407.
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n-7=sqrt(n+5)
Solve the following equation for all the values of y.
Step-by-step explanation:
hope this helps. n=6 or n=9 work is in the attached pic
Find the area of the yellow region.
Round to the nearest tenth.
DO
.6 in
6 in
Area
[? ] in2
Enter
Answer:
3.9 inches
Step-by-step explanation:
area of a circle = πr²
= π 3²
= 9 π
9π = 28.3 (rounded).
area of a square = length x width
= 6 x 6
= 36 inches
36 - 28.3
= 7.7
÷2 to get the individual value
= 3.9 inches rounded
The area of the yellow region will be [tex]3.86[/tex] squared inches.
What is area ?Area is the space occupied by any shape.
Area of the square [tex]=side*side[/tex]
We have,
A square of [tex]6[/tex] inch in side, divided in two semi-circles.
Radius of semi-circle[tex]=3[/tex] inch
Now,
Area of the square [tex]=side*side=6*6=36[/tex] squared inches
Now,
Area of a semi-circle[tex]= \frac{\pi }{2}r^{2}=\frac{22 }{2*7} (3)^2=14.14[/tex] squared inches
So,
Area of two semi-circles[tex]=28.28[/tex] squared inches
Now,
Area of yellow part [tex]= \frac{36-28.28}{2}=3.86[/tex] squared inches
So, Area of yellow part is [tex]3.86[/tex] squared inches find out by dividing by two because other part is equals to yellow part.
Hence, we can say that the area of the yellow region will be [tex]3.86[/tex] squared inches.
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How do you tell if a graph is a function and inverse is a function?
If and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f has an inverse (passes the vertical line test).
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
The function f has an inverse if and only if the result of reflecting a function's graph about the line y = x is the function's graph (passes the vertical line test).
Therefore, if and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f has an inverse (passes the vertical line test).
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Both Phoebe and Connor are trying to maximize their lifetime income. Each has a different plan on how to do this best:
Phoebe claims that she wants a career with no college or trade school requirements because she could save the money for retirement rather than spending it on education. She estimates her average yearly salary at $35,000 per year with no post-secondary education requirements.
Connor claims post-secondary education will help him get a career with a higher salary and more benefits that he can use in retirement, so the education costs will more than pay for themselves. Connor estimates paying $80,000 for his post-secondary education and an average yearly salary of $60,000 per year after he earns his college degree.
Which statement about their claims is correct?
A. Phoebe is correct because a college education is overly expensive and is almost a waste of money.
B. Phoebe is correct because she will not be spending tuition dollars on college while earning $140,000 during the four years it would take to earn an undergraduate degree. College graduates would never be able to make up that difference in earnings.
C. Connor is correct because it is likely that the increased income and better benefits he will earn throughout his career will outweigh the $80,000 and four years he invests in his college education.
D. Connor is correct because a person without a college degree will never be able to support himsel
Answer:
C. Connor is correct because it is likely that the increased income and better benefits he will earn throughout his career will outweigh the $80,000 and four years he invests in his college education.
Step-by-step explanation:
I did 100% on edge 2021
good luck! :)
Can someone help me with this
I will mark the person brainliest who answers with an actual correct answer
Due soon!!!
Answer:
B
Step-by-step explanation:
hope it helped : )
An investment portfolio is shown below.
Investment Amount Invested ROR
Stock A $1,800 1.5%
Stock B $4,600 3.7%
Stock C $580 11.2%
Stock D $1,122 −2.8%
Using technology, calculate the weighted dollar amount of Stock C.
$27.00
$64.96
$170.20
$184.00
The required weight of the dollar amount of Stock C is $64.96.
The Correct option is (B).
What is simplification?In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Given:
Investment Amount Invested ROR
Stock A $1,800 1.5%
Stock B $4,600 3.7%
Stock C $580 11.2%
Stock D $1,122 −2.8%
According to the question,
Weight of dollar amount of Stock C
= 580 × 11.2%
= 580 x 0.112
= $64.96
Hence, the required weight is $64.96.
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what is the total cost with sales tax? price 120.00 tax 5%
Answer:
5% of 120 is 6, so you would add that 6 to 120.
120 + 6 = 126.
The total cost will sales tax would be $126.00.
Step-by-step explanation:
Hope it helps! =D
What quadrant does (-a,b) belong
Coordinate (-a , b ) belongs to second quadrant.
What is a Quadrant?The axes (x-axis and y-axis) of a two-dimensional Cartesian plane system divide the plane into four infinite regions called quadrants. The horizontal line or x-axis and vertical line or y-axis intersect each other at the right angle. The intersection of two lines is known to be the reference point. All the measurement is done by taking this point as the reference (or starting point) in the coordinate system.
"A quadrant is simply defined as the region of a cartesian plane formed when the x-axis and y-axis intersect each other."
Given, Coordinate ≡ (-a , b)
1st Quadrant: The upper right-hand corner of the graph is the first quadrant. In this quadrant the values of x and y both are positive.
2nd Quadrant: The upper left-hand corner of the graph is the second quadrant. In this quadrant, the value of x is negative whereas the value of y is positive.
3rd Quadrant: The lower left-hand corner of the graph is the third quadrant. It contains the negative values of both x and y.
4th Quadrant: Finally, the fourth quarter is at the lower right-hand corner, which has a positive value of x and a negative value of y.
Hence, by the above observation, given coordinate (-a, b) belongs to the 2nd quadrant.
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A system of equations is shown on the graph below. On a coordinate plane, lines with equations y = x + 2 and y = x minus 3 are parallel. How many solutions does this system have? no solutions one unique solution two solutions an infinite number of solutions
Answer:
No Solution
Step-by-step explanation:
When we solve for the first variable in one of the equations, then substitute the result into the other equation. Which would lead to these equations having no solutions .
I really hope this helps !
I'm terribly sorry if It didn't .
If you need me to elaborate please feel free to ask :))
I hope you have a wonderful day , stay safe!!
~Sleepy~
Answer:When we solve for the first variable in one of the equations, then substitute the result into the other equation. Which would lead to these equations having no solutions .
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer:
Below.
Step-by-step explanation:
So lets go over what we know of the first question.
Jacob took 2/6th of a pound of candy.
Louis ate 7/9th of a pound of candy.
We need to find who ate more candy.
We need to find how much more candy one person ate.
To find this information, lets get a common denominator for both fractions.
Both 6 and 9 in 2/6 and 7/9 go into 18, so:
2/18 and 7/18
Now we need to fix the numerator.
To do this, we must see how many times 6 and 9 go into 18, and then multiply the numerator by that.
So:
6 goes into 18 3 times. 3x2 is 6. So our first fraction is 6/18ths.
9 goes into 18 2 times. 7x2 is 14. So our second fraction is 14/18ths.
Now, comparing our fractions:
Jacob - 6/18
Louis - 14/18
#1 part 1 - 14/18 > 6/18
#1 part 1 - So Louis ate more candy than Jacob.
Now to find how much more, lets subtract Louis's from Jacob's:
14/18 - 6/18
=
#1 part 2 - 8/18
So the difference is 8/18
Next we have question 7.
So lets go over what we know.
We need to write division problems.
A fraction itself is a division problem.
In a fraction, the numerator is divided by the denominator.
So in our first question:
1/5 can be written as: 1 divided by 5 equals 1/5, or:
#2 part 1 - 1÷5=1/5
In our second one:
4/8 can be written as: 4 divided by 8 equals 4/8, or:
#2 part 2 - 4÷8=4/8
In our third one:
9/12 can be written as: 9 divided by 12, equalling 9/12, or:
#2 part 3 - 9÷12=9/12
Im sorry I have to go ill finish answring in like 15 minutes! Hope this will help you so far! :D
Answer:
Ok, to countinue on from what I was saying.
Step-by-step explanation:
So, lets go over what we know for #3:
Becca has 3 cookies.
She needs to divide these 3 cookies into 7 pieces.
Or, we can think of this as:
She needs to divide 3 by 7.
3÷7 is equal to 3/7, so our answer is:
#3 part 1 - 3/7
#3 part 2 - I attached a image below of this.
Next lets go over what we know for #4.
Kelsey has 25 pages.
She reads 4 6/8ths of these pages.
We need to find what she has left.
We can do this by subtrating her 25 pages by 4 6/8ths:
25-4 6/8
Well, lets start by subtracting the whole number, 25-4 is 21:
21-6/8
Now lets subtract the fraction. Since we know that there is a total of 8/8ths in 1, and we are subtracting 6/8ths, we can now look at this as:
#4 part 1 - 20 2/8
Since we took 1 from 21, making it 20. Then we subtracted 6/8 from 8/8:
8/8-6/8 = 2/8
So it was 20 2/8.
Now we are on our last question.
We need to add 1/4 to 2 1/3
First off, we need to find a common denominator.
This will be 12. So:
3/12 and 2 4/12
Now lets add them together:
#5 part 1 - 2 7/12
So this is your answer.
Hope this helps! :D
Can some one help me with this question its hard :( down below ill give brainliest
Answer: The answer would be C
Step-by-step explanation:
You want to divide. 15/3= 5 and then a^3 is basically being divided by 1 so your completed answer would be 5a^3
A 15-foot ladder is leaning against a building with the base of the ladder 4 feet from the building. How high on the building the top of the ladder will reach?
Answer:
14.46ft
Step-by-step explanation:
this would be solved using Pythagoras
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
15^2 - 4^2
225 - 16 = 209
the square root = 14.46
Which values are solutions to the inequality below?
Check all that apply.
√x >8
Answer:
x > 64
therefore, 65 and 66 both apply
Step-by-step explanation:
[tex]\sqrt{x}[/tex] > 8
square each side to get:
x > 64
1) You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
I need the answers ASAP!
You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
You do 10 x 50 = 500 / Your bananas weigh 500g
$6.50 halved is $3.25 / So $3.25 for 500g
So your answer is $3.25
Hope this helps! :)
Evaluate the expression!!
The given expression is equivalent to 22 for x = 17 and y = 12.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as follows -
2x - y
For x = 17 and y = 12, we can evaluate the expression as -
2 x 17 - 12
34 - 12
22
Therefore, the given expression is equivalent to 22 for x = 17 and y = 12.
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Which blocks have a volume between 20 and 30 cubic centimeters?
A, B
A, C
B, C
B, D
Each of the cuboidal blocks B and D has a volume of 24 cubic units. As a result, choice D is the right response.
What is the formula to find the volume of a cuboidal block?
The formula to find the volume of a cuboidal block is l×b×h.
The dimensions of cuboidal block A are length=6 units, breadth=2 units and height=1 units
Now, the volume of a cuboidal block A=6×2×1=12 cubic units.
The dimensions of cuboidal block B are length=4 units, breadth=2 units and height=3 units
Now, the volume of a cuboidal block B=4×2×3=24 cubic units.
The dimensions of cuboidal block C are length=5 units, breadth=3 units and height=3 units
Now, the volume of a cuboidal block C=5×3×3=45 cubic units.
The dimensions of cuboidal block D are length=6 units, breadth=2 units and height=2 units
Now, the volume of a cuboidal block D=6×2×2=24 cubic units.
The volume of cuboidal blocks B and D is 24 cubic units each. Therefore, option D is the correct answer.
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A family buys 5 airline tickets online. The family buys travel insurance that costs $16 per ticket. The total cost is $840. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
What is a polynomial class 7?
The polynomial which has a degree of 7 can be known as a polynomial of class 7.
Polynomials are expressions containing of variables and constants. The variable having the highest power forms the degree of the polynomial.
The degree of a polynomial with one variable is known as the highest exponent power of that variable in the mentioned polynomial.
Finding the degree of a polynomial with more than one variable is a simple task , as adding the exponents of each variable in the supplied terms and then determining which term has the highest degree. That is the polynomial's degree.
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my smart people help me love yall! ^^
Answer:
x = 36
Step-by-step explanation:
180 - 126 = 54
90 + 54 + x = 180
144 + x = 180
180 - 144 = x
x = 36
Have a nice day!
Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 mililiters of water in each test tube. How many full test tubes can Russel fill with water? 1. Describe one way to estimate the solution to this problem. 2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable? Explain
The number of full test tubes Russel fill with water must be discrete number and not rational. 36 test tubes is the answer.
How to Know Cylinder Volume ?Volume of a cylinder can be known either by the use of formula (V = πr²h) or by measuring with the volume of a known liquid.
Given that Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 milliliters of water in each test tube. How many full test tubes can Russel fill with water?
1. Describe one way to estimate the solution to this problem.
By dividing the amount of milliliters of water in the baker by 16.5 ml
2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable?
No! The reason is based on the fact that the answer must be a whole number and not a decimal number since the question centered on number of full test tubes filled with water.
Therefore, the correct answer should be 36 test tubes.
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15 points!
Find the indicated limit, if it exists.
Answer:
The limit does not exist
General Formulas and Concepts:
Calculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Addition/Subtraction]: [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
In order for the limit to exist, the right-hand and left-hand limits must equal each other
Step 1: Define
Identify
[tex]\displaystyle f(x) = \left \{ {{x + 10,\ x < 8} \atop {10 - x,\ x \geq 8}} \right.[/tex]
Step 2: Find Right-Hand Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to 8^+} 10 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 8^+} 10 - x = 10 - 8 = 2[/tex]Step 3: Find Left-Hand Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to 8^-} x + 10[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 8^+} x + 10 = 8 + 10 = 18[/tex]∴ since [tex]\displaystyle \lim_{x \to 8^+} f(x) \neq \lim_{x \to 8^-} f(x)[/tex], [tex]\displaystyle \lim_{x \to 8} f(x) = DNE[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
One year ago, Farid spent $16,600 on a new pizza oven for his restaurant, The Dough Zone.
He checked the value of his oven online and discovered it is worth $15,770 today. The
website also predicts that the oven's value will continue to decrease each year.
Write an exponential equation in the form y = a(b)* that can model the value of the pizza
oven, y, x years after purchase.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
Exponential equation in the form y = a(b)* that can model the value of the pizza oven, y, x years after purchase is y = 16000(0.985625)ˣ.
The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour. After x hours, you will have twice as much germs if you start with one and it doubles every hour. F(x) = 2x can be used to express this.
The exponential equation is y = a(b)ˣ
The value of y = 15770, a = 16000 and x = 1
b = 0.985625
y = 16000(0.985625)ˣ
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HELPPPPP ASAPPPPPP!!!!! PLZZZZZ!!!!
Answer
rotation around point b
Step-by-step explanation:
A data set is made up of these values three, three, four, six, six, seven, 10.
Find the interquartile range
Answer:
D
Step-by-step explanation:
Solve the inequality 3 x+2 y≥−6 graphically.
Answer:
Step-by-step explanation:
Answer: y ≥ −3/2x − 3
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Hope this helps!
Can someone give me the measurements for reflecting this.
Gcse foundation
Thanks
Answer:
( 2 , 1 ) , ( 4 , 1 ) , ( 4 , 4 ) .......
Answer:
Points of B are (-4,-1), (-2,-1) and (-4,-4)
Step-by-step explanation:
Points of A are (-4, 1), (-2, 1) and (-4,4)
Name the reflected trangle B.
If you have a point (x,y) and you reflect in the x-axis. That point becomes (x,-y).
Therefore. Points of B are (-4,-1), (-2,-1) and (-4,-4)
What is the slope of the line that passes through the points (1, 6) and (13, 2)? Write your answer in simplest form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{13}-\underset{x_1}{1}}} \implies \cfrac{ -4 }{ 12 } \implies {\Large \begin{array}{llll} - \cfrac{1 }{ 3 } \end{array}}[/tex]
How do you find the area of an acute triangle without height?
The area of the triangle is equal to the squareroot of 10(10-5)(10-7)(10-8), which is equal to 24.
The area of an acute triangle without height can be calculated using Heron's Formula. Heron's Formula states that the area of a triangle is equal to the squareroot of s(s-a)(s-b)(s-c) where s is the semi-perimeter of the triangle and a, b, and c are the lengths of the three sides.
To find the area, first calculate the semi-perimeter of the triangle. The semi-perimeter is equal to one-half the sum of the three sides. For example, if the lengths of the three sides of a triangle are 5, 7, and 8, the semi-perimeter is equal to 5 + 7 + 8 divided by 2, which is equal to 10.
Next, plug the values into Heron's Formula. Using the same triangle as an example, the area of the triangle is equal to the squareroot of 10(10-5)(10-7)(10-8), which is equal to 24.
Finally, calculate the area of the triangle by taking the square root of 24, which is equal to 4.9. Therefore, the area of the triangle is 4.9 square units.
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