Question 4
A store has clearance items that have been marked down by 35%. They are having a sale, advertising an
additional 25% off clearance items. What percent of the original price do you end up paying?
Answers
The percent of the original price for the end-up paying in the given store is 0.5.
How to find the original price?The original price is calculated by
Sale price = (1 - percent off) × original price
I.e., P = (1 - d) × x
Calculation:It is given that,
discount is given as 35%
For advertising, it is given as 25% off
The discount percentage is calculated by
(1 - 35%) = 0.65
The additional payoff is calculated by
(1 - 25%) = 0.75
Then, the percent of the original price = 0.65 × 0.75 = 0.4875
On rounding off to the nearest decimal,
Percent of the original price = 0.5.
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Related Questions
1 point
5. In a certain store, small puppets cost $1 cach and large puppets cost $2 each. If the store sold 25 puppets
for a total of $30 dollars, how many small puppets wero sold?
(A) 25
(B) 20
(C) 15
(D) 10
(E)S
Answers
Answer:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.
one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball
Answers
Answer:
56.83?
Step-by-step explanation:
The new value of the baseball is $56.65.
Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, new value = 55+3% of 55
= 55 + 0.03 × 55
= 55 + 1.65
= $56.65
Therefore, the new value of the baseball is $56.65.
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A scoop of ice cream in the shape of a sphere with a radius of 1 1 4 inches is placed in a cone. the base of the cone has a diameter of 2 1 2 inches and the height of the cone is 3 inches. if the ice cream is left to melt, will the cone hold all of the ice cream?
Answers
When the ice cream is allowed to melt, the cone's 6 cm height will be able to hold the entire container.
what is sphere ?A sphere has a spherical, symmetrical shape. On the basis of its radius, it has a surface area and a volume. The set of all points in three-dimensional Euclidean space that are separated by a certain amount of space, or "radius," is known as a sphere (the "center"). The diameter of a sphere is equal to twice its radius, and pairs of locations on its opposing sides are referred to as antipodes.
given
The formula for the volume of a sphere would be used to calculate the volume of the ice cream scoop.
A sphere's volume is equal to 4/3 x pi x r^3.
= 4/3 x 22/7 x 1.5^3 = 14.14 cm³
The following equation can be used to calculate the cone's height:
The scoop's volume is equal to (1/3 xπ x r2).
14.14 / (1/3 x 1.5² x 22/7) = 6 cm
When the ice cream is allowed to melt, the cone's 6 cm height will be able to hold the entire container.
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how many digits are in e2020?
2021 878 877 2020
Answers
e2020 has 707 digits.
e is the mathematical constant known as the base of the natural logarithm, which means that the logarithm of any number to the base e is its natural logarithm. It is approximately equal to 2.71828, but its decimal representation goes on infinitely without repeating.
Calculating the number of digits in e2020 involves finding the number of decimal places that e extends past 2020. This is calculated using logarithms.
To find the number of digits in e2020, you can calculate 10^(number of decimal places past 2020) and determine the number of digits in the result.
This gives us 10^(707) = e2020, meaning that e2020 has 707 digits.
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how many lines of symmetry does this have? 5?
Answers
Answer:
3
Step-by-step explanation:
I think ttttttttttttttttttttt
Using the following diagram, determine the values of x, y, and z.
State the solution in simplest radical form or x equals a √b, y = c to the square root d, and z equals e to the square root of f, where a, c, and E are coefficients and become a d, and F are radicants. use NA when necessary
Answers
The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
How to evaluate the values of x, y, and z for the triangleThe perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.
√15/(y + 2) = y/√15 {opposite/adjacent}
y(y + 2) = (√15)² {cross multiplication}
y² + 2y = 15
y² + 2y - 15 = 0
by factorization;
(y - 3)(y + 5) = 0
y = 3 or y = -5
by Pythagoras rule:
(√15)² = x² + y²
15 = x² + 3²
x = √(15 - 9)
x = √6
z² = (√6)² + 2²
z = √(6 + 4)
z = √10
Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
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A chess player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 212 wins, and the second simulation returned 235 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.
A. The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.
B. The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.
C. The confidence interval from the first simulation is (0.191, 0.233), and the confidence interval from the second simulation is (0.213, 0.257). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.191 and 0.233. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.213 and 0.257.
D. The confidence interval from the first simulation is (0.191, 0.233), and the confidence interval from the second simulation is (0.213, 0.257). For the first trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.191 and 0.233. For the second trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.213 and 0.257.
Answers
The correct option regarding the 95% confidence interval for this problem is given as follows:
A. The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The parameters for the first simulation are given as follows:
\(n = 1000, \pi = \frac{212}{1000} = 0.212\)
Hence the lower bound of the interval is of:
\(0.212 - 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.187\)
The upper bound is of:
\(0.212 + 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.237\)
For the second simulation, the parameters are given as follows:
\(n = 1000, \pi = \frac{235}{1000} = 0.235\)
Hence the lower bound of the interval is of:
\(0.235 - 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.209\)
The upper bound is of:
\(0.235 + 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.261\)
This means that option A is the correct option.
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Suppose 0.743 g of potassium chloride is dissolved in 250. mL of a 25.0 m M aqueous solution of silver nitrate. Calculate the final molarity of chloride anion in the solution. You can assume the volume of the solution doesn't change when the potassium chloride is dissolved in it. Round your answer to 3 significant digits. ?
Answers
Rounding the answer to 3 significant digits, the final molarity of chloride anion in the solution is approximately 0.0398 M.
To calculate the final molarity of chloride anion in the solution, we need to consider the reaction that occurs between potassium chloride (KCl) and silver nitrate (AgNO₃):
KCl + AgNO₃ → AgCl + KNO₃
We know that 0.743 g of potassium chloride is dissolved in 250. mL of a 25.0 mM aqueous solution of silver nitrate. To find the final molarity of chloride anion, we need to determine the amount of chloride ions (Cl⁻) that are present in the solution after the reaction.
First, let's calculate the number of moles of potassium chloride (KCl) that are dissolved in the solution:
Moles of KCl = Mass of KCl / Molar mass of KCl
Molar mass of KCl = 39.10 g/mol + 35.45 g/mol = 74.55 g/mol
Moles of KCl = 0.743 g / 74.55 g/mol ≈ 0.00995 mol
Since 1 mol of KCl produces 1 mol of chloride ions (Cl⁻), we can conclude that there are approximately 0.00995 mol of chloride ions in the solution.
Next, we need to determine the final volume of the solution. Since we assume the volume of the solution doesn't change when the potassium chloride is dissolved in it, the final volume remains 250 mL.
Now we can calculate the final molarity of chloride anion:
Molarity (M) = Moles of solute / Volume of solution in liters
Molarity of chloride anion = 0.00995 mol / 0.250 L = 0.0398 M
Therefore, Rounding the answer to 3 significant digits, the final molarity of chloride anion in the solution is approximately 0.0398 M.
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What is the answer please hurry I need helpp
Answers
The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.
This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).
Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.
Hope I helped you...
A. $15 dollars were initially deposited into the account, which grows at a annual rate of 2%
UNDERSTAND why:
this shows the initial amount then the rate of growth while the X in this equation is the eXponential
Find the scale factor and the centre of enlargement that takes shape A to shape A'
Answers
Check the picture below.
PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS OR WILL BE REPORTED
A box is 15 x 20 inches. In the box there are cut out squares of the same size from each corner. Mark the side of the cut-out square by x. write an expression the represent the width of the box.
Answers
Answer:
If you draw the picture you see that your rectangle
will form a box 14 inches by 9 inches by 3 inches high
20 inches - 3 inches - 3 inches = 14 inches
15 inches - 3 inches - 3 inches = 9 inches
The height is formed by the dimensions of where
you cut out the 3 inch squares
The volume of a box is found by multiplying
length x width x height
The length is 14 inches
The width is 9 inches
The height is 3 inches
Step-by-step explanation:
here easy
Subtract -5x2 + 10x – 1 from 6x2
X + 3.
Answers
Answer:
Can you add a screenshot of the equations? It's hard to figure it out in this format and I don't want to give you the wrong answer.
Step-by-step explanation:
Simplify the following
a)
\( \frac{5}{8} - \frac{1}{4} + 1 \ \frac{1}{2} \)
b)
\(1 \ \frac{2}{3} + \frac{1}{2} - \frac{1}{6} \)
c)
\(1 + \frac{1}{2} - \frac{1}{3} \)
Answers
a) 15/8
b) 2
c) 7/6
(Just pop them into a calculator)
B. 2
C. 7/6
Hope this helped!
All you have to do is use a calculator! :)
Would appreciate brainliest!
a piece of lumber is 2 1/4 ft long is cut into 3 equal pieces .How long will each piece of cut wood be ?
Answers
Answer: Each piece would be 3/4 feet long
Step-by-step explanation:
If the piece of lumber is 2 1/4 ft long, and it is cut into 3 pieces then divide
2 1/4 by 3 to find out how long each piece of cut wood would be.
2 1/4 is the same as 9/4
\(\frac{9}{4} / \frac{3}{1}\) = 9/12 which also simplifies to 3/4
Which table of values corresponds to the graph below?
On a coordinate plane, a line goes through points (0, negative 2) and (2, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 2. Column 2 is labeled y with entries 0, 1, 2, 4.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 4. Column 2 is labeled y with entries negative 2, negative 1, 2.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 1, 4. Column 2 is labeled y with entries 0, 2, negative 1, 2.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 2, 4. Column 2 is labeled y with entries 1, negative 2, 0, 2.
Answers
Answer: B i got it right
Step-by-step explanation:
Find a number that is 45% greater than 90
Answers
Answer:
130.5Step-by-step explanation:
the number that is 45% greater than 90 is :
\(90+90\times \frac{45}{100} = 90 + 40.5 = 130.5\)
7. What values will be increased if the practitioner forgets to ice and ABG sample and leaves it at room temperature for 45 minutes
Answers
Various values that are being measured in the sample will increase, which can make the interpretation of the results difficult and potentially confusing.
When a practitioner forgets to ice and ABG sample and leaves it at room temperature for 45 minutes, some of the values that will be increased include the following:1. pH levels:The pH level of the sample is going to rise, leading to an increase in the alkalinity of the blood.2. PaO2:PaO2 (partial pressure of oxygen) is going to decrease since oxygen dissolved in blood will diffuse out into the air.
This will lead to an increase in the level of PaCO2 (partial pressure of carbon dioxide) since the respiratory rate will increase in order to get rid of more CO2.3. PCO2:The partial pressure of carbon dioxide (PCO2) in the sample is going to increase. The increase in PCO2 level in the sample will cause it to become more acidic due to the increase in carbon dioxide.4.
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Write the equation of the line passing through the points (−3,9) and (−9,3).
Question content area bottom
Part 1
The equation of the line is enter your response here.
Answers
The equation of the line is y=x+12.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The points are
(-3,9)=\((x_{1} ,y_{1} )\) and (-9,3)=\((x_{2} ,y_{2} )\)
The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
We have to Write the equation of the line.
According to given question we have,
Equation of line passing through the point (-3,9) and (-9,3).
Slope of the line=
\(\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1\)
⇒y−9=1(x+3)
⇒y-9=x+3
Add 9 on both sides we get,
y=x+12
∴ y=x+12 which is in the form y=mx +c is the required equation.
Therefore, the equation of the line is y=x+12.
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y = x + 12
What is equation of a line?
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.
y-y₁=m(x-x₁)
mm₁=-1
Points (-3,9) and (−9,3).
Slope of the line m = (y₂ - y₁)/(x₂ - x₁)
m = (3-9)/(-9+3)
m = 1
Now equation of line passing through two points
(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)
(y - 9)/(3-9) = 1*(x - 3)/(-9+3)
y - 9 = x + 3
y = x + 12
Therefore, the equation of line is y = x + 12
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Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
Answers
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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please help me and thank you :))))
Answers
Answer:
96
Step-by-step explanation:
Answer:
the answer of this question
is 96
The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box. Cm³.
Answers
Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
\(V= \dfrac{4}{3} \pi r^3 \: \rm unit^3\)
For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used as 3.14
Thus, we have the volume of container as:
\(V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{\)
Thus,
The approximate volume of the specified container is 87.92 cm³
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A right circular cylinder has a volume of 45pi. If the height of the cylinder is 5, what is the radius of the cylinder? Plz I need it Rn
Answers
Answer:
this is the answer I know.
Use the definition of rational exponents to write each of the following with the appropriate root. Then simplify: 81 3/4 = Question.
Answers
To write 81^(3/4) with the appropriate root using the definition of rational exponents, we can express the exponent 3/4 as a fractional exponent with a denominator that represents the root. In this case, the denominator is 4, which indicates the fourth root.
Using the definition of rational exponents, we can rewrite 81^(3/4) as the fourth root of 81 raised to the power of 3:
81^(3/4) = (fourth root of 81)^3
Now, we can simplify this expression. The fourth root of 81 is 3 because 3^4 = 81. Therefore, we have:
81^(3/4) = (fourth root of 81)^3 = 3^3 = 27
Hence, after simplifying, we find that 81^(3/4) is equal to 27.
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describe the graph of the solution
Answers
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
a 10-unit vector at 60° from the vertical has a vertical component with a magnitude
Answers
Answer:
i hop this halp
Step-by-step explanation:
less than 10 units.
find the answer- 8.19÷1.3
Answers
Answer:
-6.3
Step-by-step explanation:
You can do it on calculator.
Which of the following pairs of triangles can be proven similar through SSS similarity?
Answers
Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.
What is the SSS Similarity Theorem?The SSS similarity theorem states that two triangle area similar to each other if the ratio of the three corresponding sides of both triangles are equal.
Thus, in the image attached below, the ratio of the three corresponding sides of the pair of triangles are:
10/2.5 = 11/2.75 = 8/2 = 4
Therefore, the pair of triangles that we can prove to be similar using the SSS similarity theorem is the pair shown in the image attached below.
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Find the area of the shape. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. (ANSWER ASAP PLEASEE)
Answers
Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2
Answers
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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Need help desperately, work overdue :)
Answers
Answer:
a) £108
btw i use sparx maths too
Step-by-step explanation: