Final answer:
To find the original price of a pair of shoes after a 60% discount, divide the sale price by (1 minus the discount percentage). The original price of the pair of shoes is $110.
Explanation:
To find the original price of a pair of shoes after a 60% discount, we can use the formula:
Original price = Sale price / (1 - Discount percentage)
Substituting the given values:
Original price = $44 / (1 - 0.60)
Original price = $44 / 0.40
Original price = $110
Therefore, the original price of the pair of shoes was $110.
Final answer:
To determine the original price before a discount, subtract the discount percentage from 1, convert it to a decimal, and divide the sale price by this number. In this case, the original price for the shoes before a 60% discount, resulting in a $44 sale price, is $110.
Explanation:
To find the original price of an item before a discount, you can use the following steps:
First, understand that the sale price is the price after the discount has been applied to the original price.Express the discount as a decimal. A 60% discount is 0.60 when expressed as a decimal.Since the sale price reflects the remaining percentage after the discount, you subtract the discount decimal from 1 to find the multiplier for the original price. That is, 1 - 0.60 = 0.40.Divide the sale price by this multiplier to get the original price. So, $44 divided by 0.40 equals $110.Therefore, the original price of the shoes was $110 before the 60% discount was applied.
Find the derivative of f(x) = 8x + 4 at x = 9
Add: 4/100 + 2/10 = A) 6/10 B) 6/100 C) 24/100 D) 42/100
What is QR ?
Enter your answer in the box.
units
Answer-
[tex]\boxed{\boxed{QR=12}}[/tex]
Solution-
Triangle Midpoint Theorem-
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
As given in the question,
QV = SV, so V is the mid point of QS,
SU = RU, so R is the mid point of RS.
Hence, UV is the line joining the midpoints of QS and RS.
Applying Triangle Midpoint Theorem,
[tex]\Rightarrow UV=\dfrac{1}{2}QR[/tex]
[tex]\Rightarrow QR=2UV[/tex]
[tex]\Rightarrow QR=2\times 6[/tex]
[tex]\Rightarrow QR=12[/tex]
Therefore, the side length of QR is 12 units.
What is the perimeter of the figure?
A. 88 in.
B. 88 11/24 in.
C. 88 7/8 in.
D. 89 7/8 in.
AD¯¯¯¯¯ , BD¯¯¯¯¯ , and CD¯¯¯¯¯ are angle bisectors of the sides of △ABC . BE=12 m and BD=20 m
Mr. Vella can build a brick wall in 4 days. His apprentice can build the same wall in 6 days. After working alone for 3 days, Mr. Vella became ill and left the job for his apprentice to complete. How many days did it take the apprentice to finish the wall?
Apprentice will take [tex]1\frac{1}{2}[/tex] days to finish the wall.
What is work?" Work is defined as when force is applied to move an object in the direction of displacement."
According to the question,
Number of days taken by Vella to build a brick = 4 days
Work done by Vella in 1 day = [tex]\frac{1}{4}[/tex]
Work done by Vella in 3 days = [tex]\frac{3}{4}[/tex]
Number of days taken by apprentice to build same brick = 6 days
Total days taken by apprentice to complete 3/4 of work = [tex]\frac{3}{4} of 6[/tex]
= [tex]\frac{3}{4}[/tex] × 6
=[tex]\frac{9}{2}[/tex]
= [tex]4\frac{1}{2}[/tex] days
Number of days apprentice take to finish the wall is = 6 - [tex]4\frac{1}{2}[/tex]
= [tex]1\frac{1}{2}[/tex]
Hence, apprentice will take [tex]1\frac{1}{2}[/tex] days to finish the wall.
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A sample of n = 25 individuals is selected from a population with µ = 60 and sigma = 10 and a treatment is administered to the sample. after treatment, the sample mean is m = 63. what is the value of cohen's d for this sample?
The information regarding the sampling shows that the value of cohen's d for this sample is 0.3.
How to calculate the sampleFrom the information given, the sample of n = 25 individuals is selected from a population with µ = 60 and sigma = 10 and a treatment is administered to the sample. after treatment, and the sample mean is m = 63.
Therefore, the value of cohen's d for this sample will be:
= (M - µ) / 10
= (63 - 60) / 10
= 0.3
In conclusion, the correct option is 0.3.
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Final answer:
Cohen's d for the given sample is 0.3, calculated by subtracting the population mean from the sample mean and dividing by the population standard deviation.
Explanation:
The student's question is regarding the calculation of Cohen's d for a sample after treatment. Cohen's d is a measure of effect size used to indicate the standardized difference between two means. In this case, the following formula can be used: Cohen's d = (M - μ) / σ, where M is the sample mean after treatment, μ is the population mean, and σ is the population standard deviation.
Given that M = 63, μ = 60, and σ = 10, the calculation of Cohen's d is as follows:
Cohen's d = (63 - 60) / 10 = 3 / 10 = 0.3.
Therefore, the value of Cohen's d for this sample is 0.3, which is considered a small effect size according to Cohen's standards.
What is the solution set for the open sentence with the given replacement set?
2t-t=0,{1,2,3,4}
A. Null set
B. 2
C. 3
D. 4
An open sentence is a mathematical sentence that has an unknown.
The solution set for t is (a) Null set
The equation is given as:
[tex]\mathbf{2t - t = 0}[/tex]
The set is given as:
[tex]\mathbf{\{1,2,3,4\}}[/tex]
First, we solve for t in: [tex]\mathbf{2t - t = 0}[/tex]
[tex]\mathbf{t = 0}[/tex]
The above equation implies that, the value of t is 0
0 is not represented in the given set, [tex]\mathbf{\{1,2,3,4\}}[/tex]
Hence, the solution set for t is (a) Null set
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Which of the following prefixes would be best to use when measuring your own mass? need help.
Milli
Centi
Deci
Kilo
Susie's sushi place two orders with its fish supplier one order was for 15 lb of salmon and 8 lb of tuna the order total $228 the other order was for 12 lb of salmon and 6 lb of tuna this ordered total for 180 what is the cost for 1 lb of salmon in 1 lb of tuna
Amanda apent 2$ more than Barry on school supplies together they spent
34 How much money did each spend
What are the roots of the equation? 5 x 3+45x2+70x=0
Final answer:
The roots of the equation 5x³ + 45x² + 70x = 0 are -7 and -2.
Explanation:
This expression is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 5, b = 45, and c = 70. To find the roots of the equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the values, we get:
x = (-45 ± √(45² - 4(5)(70))) / (2(5))
Simplifying further gives us:
x = (-45 ± √(2025 - 1400)) / 10
And finally, calculating the square root and applying the ± gives us the two roots:
x = (-45 ± √625) / 10
x = (-45 ± 25) / 10
which can be further simplified to:
x = -7 or x = -2
PLZ HELP! :) ASAP. Which of these sets of numbers contains no irrational numbers?
The distance between two cities on a map is 13 cm. What is the actual distance between the cities if the map is drawn at a scale of 1:50,000?
Answer:
6.5 km
Step-by-step explanation:
1:50,000
13 cm on a map, multiply both sides by 13 which leaves us with:
13:650,000
However, we need to calculate the distance in kilometers, not centimeters. To do that, we have to divide 650,000 by 100,000 which leaves us with 6.5 km
A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 12 mm and it wants to know how the area A(x) of a wafer changes when the side length x changes. Find A'(12)
The value of the derivatives is A'(12) = 24.
We have,
To find the derivative of the area function A(x) with respect to x, we can differentiate the equation for the area of a square:
A(x) = x^2
Using the power rule, we differentiate A(x) with respect to x:
A'(x) = 2x
To find A'(12), we substitute x = 12 into the derivative equation:
A'(12) = 2 * 12 = 24
Therefore,
The value of the derivatives is A'(12) = 24.
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Final answer:
To find A'(12), the rate at which the area A(x) changes when the side length x changes, take the derivative of A(x), which is 2x, and evaluate it at x = 12. The derivative of A(x) is 2x, so A'(12) = 2(12) = 24.
Explanation:
To find the rate at which the area A(x) changes with respect to a change in x, we need to take the derivative of A(x) with respect to x. In this case, A(x) represents the area of a square wafer of silicon with a side length x. The derivative with respect to x is A'(x), which represents the rate of change of the area.
We want to find A'(12), which means we want to find the rate of change of the area when the side length is 12 mm. To do this, we need to take the derivative of A(x) and then evaluate it at x = 12.
Since the side length of the wafer is very close to 12 mm, we can assume x = 12.
Let's find the derivative of A(x):
A(x) = x^2
A'(x) = 2x
Now we can evaluate A'(12):
A'(12) = 2(12) = 24
Which function has a domain of x greater than equal to 5 and the range of y less than equal to 3?
A. y = root squared of x-5, +3
B. y = root squared of x+5, -3
C. y = - root squared of x-5, +3
D. y = - root squared of x+5, -3
Answer:
Option C is the answer.
Step-by-step explanation:
Option A. [tex]y=\sqrt{x-5}+3[/tex]
For domain of this function
(x - 5) ≥ 0
x ≥ 5
For range of the function
for every value of x ≥ 0
y ≥ 3
Opttion B. [tex]y=\sqrt{x+5}-3[/tex]
For Domain
(x + 5) ≥ 0
x ≥ (-5)
and for every value of x ≥ (-5) range of the function will be
y ≥ (-3)
Option C.
y = -√(x -5) + 3
For domain
x - 5 ≥ 0
x ≥ 5
For range
y ≤ 3
Option D. [tex]y=-\sqrt{x+5}-3[/tex]
For domain (x + 5) ≥ 0
x ≥ -5
For range
y ≤ (-3)
Therefore option C will be the answer.
How are these shortcuts (SSS, SAS, ASA, and AAS) similar to or different from those for proving triangle congruence?
One box of crackers costs $1.75. The crackers are advertised as “3 boxes for $5.25.” Which proportion can be used to represent the cost of the crackers?
A spinner is divided into 4 equal sections the probability of landing on A is 1/4 Norma spins the spinner 16 times how many times can she expect the spinner to land on A
Final answer:
Norma can expect the spinner to land on section A 4 times after spinning it 16 times, based on the probability of [tex]\frac{1}{4}[/tex].
Explanation:
The question asks about the expected number of times Norma can anticipate the spinner to land on section A after spinning it 16 times, given that the probability of landing on A is [tex]\frac{1}{4}[/tex]. To find this, we use the concept of expected value, which in this context is the probability of an event happening multiplied by the number of trials. Since the probability of landing on A is [tex]\frac{1}{4}[/tex] and there are 16 spins, the expected number of times landing on A is calculated as [tex]\frac{1}{4}[/tex] multiplied by 16.
Expected number of landings on A = Probability of landing on A × Number of spins = [tex]\frac{1}{4}[/tex] × 16 = 4.
Therefore, Norma can expect the spinner to land on section A four times after spinning it 16 times.
Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table.
Steve had 7 more than twice as many quarters as dimes. if the total value of her coins was $10.15, how many of each kind of coin did she have?
Merry and pippin were working on a project in carpentry class. they needed to cut 4 lengths of 1 5/8 feet from a board. how long must the board be to allow this?
There are 13 animals in the barn. Some are chickens and some are pig's. There are 40legs in all. How many of each animal are there?
Answer:
7 pigs6 chickensStep-by-step explanation:
If all were chickens, there would be 26 legs. There are 14 legs more than that. Each pig contributes 2 additional legs, so there must be 14/2 = 7 pigs. The remaining 6 animals are chickens.
___
Check
7×4 + 6×2 = 28 +12 = 40 . . . . total legs
Answer:
easy! 27
Step-by-step explanation:
13- 40 = 27
or 13 + 27 =40
just add up 13 and 27 you'll get 40 in all
edit; btw I'm not the brightest
If angle 3 is 45 degrees, what is the measure of it's supplement?
A) 45
B) 90
C) 205
D) 135
Harper has $15.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers that cost $3.50. Model the problem algebraically and determine the maximum number of bags of fruit,b, Harper can buy.
what are the x intercepts for 5/x + 1/3x = 4x/3
48.5 out of 50 as a percentage
48.5 out of 50 as a percentage, is 97%.
48.5 out of 50 as a percentage can be calculated by dividing 48.5 by 50 and then multiplying by 100 to get the percentage.
Divide 48.5 by 50: 48.5 / 50 = 0.97
Multiply by 100 to get the percentage: 0.97 * 100 = 97%
Which linear inequality is represented by the graph?
y > 2x + 2
y ≥ x + 1
y > 2x + 1
y ≥ x + 2
Step 1
Find the slope of the line
Let
[tex]A(0,1)\\B(2,5)[/tex]
the slope is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{5-1}{2-0}[/tex]
[tex]m=\frac{4}{2}[/tex]
[tex]m=2[/tex]
Find the equation of the line
we know that
the equation of the line into slope-intercept form is
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
in this problem we have
[tex]m=2[/tex]
[tex]b=1[/tex] ------> the y-intercept is the point A
substitute
[tex]y=2x+1[/tex]
Step 2
Find the equation of the inequality
we know that
the solution is the shaded area above the dotted line
so
above dotted line---------> represent the symbol ([tex]>[/tex])
the inequality is
[tex]y>2x+1[/tex]
therefore
the answer is
[tex]y>2x+1[/tex]
The correct option is [tex]\boxed{\bf option (c)}[/tex] i.e., [tex]\boxed{y>2x+1}[/tex].
Further explanation:
The linear equation of the line is [tex]y=mx+b[/tex] where, [tex]m[/tex] is the slope of the line and [tex]c[/tex] is the [tex]y[/tex]-intercept of the line.
Suppose the line passes through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex].
Therefore, the slope of the line can be calculated as follows:
[tex]\boxed{m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
The symbol [tex]>[/tex] represents the solution set lies above the dotted line and the symbol [tex]<[/tex] represents the solution set below the dotted line.
Given:
The linear inequalities are given as follows:
[tex]\boxed{\begin{aligned}y&>2x+2\\ y&\geq x+1\\ y&>2x+1\\ y&\geq x+2\end{aligned}}[/tex]
Calculation:
First we will find the equation of the line.
The line cuts the [tex]y[/tex]-axis on the coordinate [tex](0,1)[/tex] as shown in the Figure 1 (attached in the end).
Therefore, the [tex]y[/tex]-intercept is [tex]1[/tex].
Kindly refer the Figure attached to the question.
From the figure 1 (attached in the end) we can see that the line passes through the points [tex](-2,-3)\text{ and }(1,3)[/tex].
The slope of the line can be calculated as follows:
[tex]\begin{aligned}m&=\dfrac{3-(-3)}{1-(-2)}\\&=\dfrac{6}{3}\\&=2\end{aligned}[/tex]
Therefore, the value of [tex]m[/tex] is [tex]m=2[/tex] and the value of [tex]b[/tex] is [tex]b=1[/tex].
Substitute [tex]2[/tex] for [tex]m[/tex] and [tex]1[/tex] for [tex]b[/tex] in the equation of the line [tex]y=mx+b[/tex].
Second we will find the equation of the inequality.
The shaded region is shown in Figure 1 above the dotted line .
Therefore, the solution set of the line lie above the dotted line and it will represented by the symbol [tex]>[/tex].
Thus, the inequality [tex]y>2x+1[/tex] satisfies the given graph.
Therefore, the correct option is [tex]\boxed{\bf option (c)}[/tex] i.e., [tex]\boxed{y>2x+1}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear inequalities
Keywords: Linear equations, linear inequality, equation, line, slope, intercept, dotted line , coordinate, shaded region, solutions set, graph, curve.
Match the expression with its name. 9x4 – 3x + 4
Answer:
Fourth-degree trinomial
Step-by-step explanation:
9x^4 – 3x + 4 is a trinomial expression because it has three parts: 9x^4, –3x and 4, and is a fourth-degree expression because four is the highest exponent applied to the variable x (the other exponents are one and zero).
PLEASE HELP!!
Complete the coordinate proof of the theorem.