Dan opened up his piggy bank and found a total of thirty-five coins, made up of nickels, dimes, and quarters. if he has five more nickels than dimes and a total of $6, how many of each coin were in his bank?
Answers
0.05n + 0.10d + 0.25q = 6
n = d + 5
n + d + q = 35
0.05n + 0.10d + 0.25q = 6.....multiply by -4
----------------
n + d + q = 35
-0.20n - 0.40d - q = - 24 (result of multiplying by -4)
----------------add
0.80n + 0.60d = 11
0.80(d + 5) + 0.60d = 11
0.80d + 4 + 0.60d = 11
1.40d = 11 - 4
1.40d = 7
d = 7 / 1.40
d = 5 <==== there are 5 dimes
n = d + 5
n = 5 + 5
n = 10 <==== there are 10 nickels
n + d + q = 35
10 + 5 + q = 35
15 + q = 35
q = 35 - 15
q = 20 <=== there are 20 quarters
In his piggy bank, Dan has 10 nickels, 20 dimes and 5 quarters.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Assume that he had [x] nickels, [y] dimes and [z] quarters. Then we can write -
x = y + 5
x + y + z = 35
x/20 + y/10 + z/4 = 6
Now, the equation → x/20 + y/10 + z/4 = 6, can be written as → (x + 2y + 5z) = 120
We can write, the equations as -
x = y + 5
x + y + z = 35
x + 2y + 5z = 120
Solving the simultaneous equations, we get -
y + 5 + y + z = 35
2y + z = 30 Eq [1]
y + 5 + 2y + 5z = 120
3y + 5z = 115 Eq [2]
Plot Eq[1] and Eq[2] on graph. The point of intersection of both will give the values of y and z.
z = 20
y = 5
We can then find [x] as -
x = y + 5 = 10
x = 10
Therefore, in his piggy bank, Dan has 10 nickels, 20 dimes and 5 quarters.
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Related Questions
How to prove system of nonlinear equations has finite solutions?
Answers
the product of two consecutive odd integers is one less than four times their sum. Find the two integers.
Answers
x^2 + 2x = 8x + 8 - 1
x^2 - 6x - 7 = 0
(x-7)(x+1) = 0
x = 7 and x = -1
the two integers are 7 and 9
or
two integers are - 1 and 1
The square root of 31 is between what two integers
Answers
6^2 = 36
NOTE: There must be math program you get to learn for this. Please do
I need help with this. 20 points!
If f(x) = 5x - 4, then what is the value of f(7)?
Answers
f(7) = 35 - 4
f(7) = 31
Hope this helps in your understanding this problem!!
The perimeter of a rectangle is 78 cm and the basis measures 27 cm. Calculates the perimeter of the square equivalent to the rectangle.
Answers
27*12=324 cm² (A rectangle)
4*√324=
4*18=
72 cm (perimeter of the square)
Given equal probabilities of the birth of a boy or girl, what is the probability that a group of four siblings includes all boys? all girls? all boys or all girls?
Answers
The probability of a group of four siblings being all boys or all girls is 1/8, with each individual probability being 1/16.
Probability of All Boys:
Probability of a boy birth: 1/2
Probability of all boys among 4 siblings:
(1/2) × (1/2) × (1/2) × (1/2) = 1/16
Probability of All Girls:
Probability of a girl birth: 1/2
Probability of all girls among 4 siblings:
(1/2) × (1/2) × (1/2) × (1/2) = 1/16
Probability of All Boys or All Girls: Since these are mutually exclusive events, add their probabilities:
1/16 (all boys) + 1/16 (all girls) = 1/8
what is the answer to algebra with pizzazz page 100; what should you say if you see a tall, wrought-iron tower in paris, france?
there are 24 blanks
Answers
Given
[tex]3n^2-17n+24 \\ \\ \Rightarrow3n^2-9n-8n+24 \\ \\ \Rightarrow3n(n-3)-8(n-3) \\ \\ \Rightarrow(3n-8)(n-3)[/tex]
Part 2:
Given
[tex]4x^3y-49xy^3 \\ \\ \Rightarrow xy(4x^2-49y^2) \\ \\ \Rightarrow xy(2x-7y)(2x+7y)[/tex]
Part 3:
Given
[tex]5x^2+20xy-60y^2 \\ \\ \Rightarrow5x^2-10xy+30xy-60y^2 \\ \\
\Rightarrow5x(x-2y)+30y(x-2y) \\ \\ \Rightarrow(5x+30y)(x-2y) \\ \\ \Rightarrow5(x+6y)(x-2y)[/tex]
Part 4:
Given
[tex]3x^3-x^2y+12x-4y \\ \\ \Rightarrow3x^3+12x-x^2y-4y \\ \\ \Rightarrow3x(x^2+4)-y(x^2+4) \\ \\ \Rightarrow(3x-y)(x^2+4)[/tex]
Part 5:
Given
[tex]2x^4y-3x^3y-20x^2y \\ \\ \Rightarrow x^2y(2x^2-3x-20) \\ \\ \Rightarrow x^2y(2x^2-8x+5x-20) \\ \\ \Rightarrow x^2y[2x(x-4)+5(x-4)] \\ \\ \Rightarrow x^2y(2x+5)(x-4)[/tex]
Part 6:
Given
[tex]9x^3y+33x^2y^2+30xy^3 \\ \\ \Rightarrow3xy(3x^2+11xy+10y^2) \\ \\ \Rightarrow3xy(3x^2+6xy+5xy+10y^2) \\ \\ \Rightarrow3xy[3x(x+2y)+5y(x+2y)] \\ \\ \Rightarrow3xy(3x+5y)(x+2y)[/tex]
Part 7:
Given
[tex]16a^3b^4+40a^2b^5+8ab^3 \\ \\ \Rightarrow8ab^3(2a^2b+5ab^2+1)[/tex]
Part 8:
Given
[tex]t^4-37t^2+36 \\ \\ \Rightarrow(t-1)(t-36)[/tex]
Part 9:
Given
[tex]2a^7b^3-288ab \\ \\ \Rightarrow2ab(a^6b^2-144) \\ \\ \Rightarrow2ab(a^3b-12)(a^3b+12)[/tex]
Part 10
Given
[tex]35a^2b-5a-7ab^2+b \\ \\ \Rightarrow35a^2b-7ab^2-5a+b \\ \\ \Rightarrow7ab(5a-b)-(5a-b) \\ \\ \Rightarrow(7ab-1)(5a-b)[/tex]
Part 11:
[tex]6a^4b^2-11a^3b^3+4a^2b^4 \\ \\ \Rightarrow a^2b^2(6a^2-11ab+4b^2) \\ \\ \Rightarrow a^2b^2(6a^2-3ab-8ab+4b^2) \\ \\ \Rightarrow a^2b^2[3a(2a-b)-4b(2a-b)] \\ \\ \Rightarrow a^2b^2(3a-4b)(2a-b)[/tex]
Part 12:
Given
[tex]t^2(t+3)+6t(t+3)+9(t+3) \\ \\ \Rightarrow(t^2+6t+9)(t+3) \\ \\ \Rightarrow(t+3)(t+3)(t+3) \\ \\ \Rightarrow(t+3)^3[/tex]
Answer: That’s really quite an eyeful
Step-by-step explanation:
The bottom answer to all of it is
That’s really quite an eyeful.
The average rate of change of the function f(x)=4x^3 + 4 over the interval [66,88] is
Answers
Interval [66,88] which is x₁=66, x₂=88
f (x)=4x³+4
f (x₁)=f (66)=4 (66)³+4=1149988
f (x₂)=f (88)=4 (88)³+4=2725892
Average rate of change =2725892-1149988/88-66
=1575904/22
=71632
From long experience, it is known that the time it takes to do an oil change and lubrication job on a vehicle has a normal distribution with a mean of 17.8 minutes and a standard deviation of 5.2 minutes. An auto service shop will give a free lube and oil change service to any customer who must wait beyond the guaranteed time to complete the work. If the shop does not want to give more than 1% of its customers a free lube and oil change service, how long should the guarantee be? Round appropriately to the minute.
Answers
To find the guarantee time for an oil change and lubrication job, calculate the z-score for the 1% percentile of a standard normal distribution and use the formula z = (x - μ) / σ to solve for x. Round x to the nearest whole number.
Explanation:The question is asking for the guarantee time that an auto service shop should offer for an oil change and lubrication job. To find this, we need to calculate the z-score that corresponds to the 1% percentile of a standard normal distribution. The z-score can be found using a z-table or calculator, and then we can use the formula z = (x - μ) / σ to solve for x. Round x to the nearest whole number to get the guarantee time.
Solve x2 + 4x − 4 = 0.
Answers
The solution to the given quadratic equation is: x = - 2 ± 2√2
What is the solution to the quadratic equation?The general form of a quadratic equation is expressed as;
y = ax ² + bx + c
The quadratic equation is given as;
x² + 4x - 4 = 0
We can solve either by quadratic formula or by factorization
We will use quadratic formula as;
x = [-b ± √(b² - 4ac)]/2a
Thus:
x = [-4 ± √(4² - 4(1 * - 4))]/2(1)
x = (-4 ± √32)/2
x = - 2 ± 2√2
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To solve the quadratic equation x^2 + 4x - 4 = 0, identify the coefficients, apply the quadratic formula, and find the solutions.
To solve the quadratic equation x2 + 4x - 4 = 0:
Identify the coefficients a = 1, b = 4, and c = -4.Substitute the values into the quadratic formula: x = (-b ± √(b2 - 4ac)) / 2a.Solve for x to find the two possible solutions.Identify the degree of the polynomial 6xy2 − xy + 8 + 12y.
Answers
The cost c ( x ) c(x), where x x is the number of miles driven, of renting a car for a day is $49 plus $0.55 per mile.
Answers
To calculate the cost c(x) of renting a car for a day based on the number of miles driven, use the formula c(x) = $49 + $0.55 imes x, where x represents miles driven.
Explanation:The student's question involves calculating the cost of renting a car for a day based on the number of miles driven. The function c(x) represents the total cost, which includes a fixed charge and a variable charge per mile. The fixed charge is $49, and the variable charge is $0.55 per mile. The total cost can be expressed as c(x) = $49 + $0.55 imes x, where x is the number of miles driven.
To calculate the cost for a given number of miles, simply multiply the number of miles by $0.55 and add the base charge of $49. For example, if a student drives 20 miles, the cost would be calculated as follows: c(20) = $49 + ($0.55 imes 20) = $49 + $11 = $60.
Write an equation of the circle with center , −45 and radius 6 .
Answers
How do we modify this equation to shift the circle and change its radius, then? Well, if we want to change the radius, we simply have to change the hypotenuse of the triangle that's sweeping out the circle in the first place. The default for a circle is 1, but we're looking for a radius of 6, so our equation, in line with Pythagorus's, would look like [tex]x^2+y^2=6^2[/tex], or [tex] x^{2} +y^2=36[/tex].
Shifting the center of the circle is a bit of a longer story, but - at first counterintuitively - you can move a circle's center to the point (a,b) by altering the x and y portions of the equation to read:
[tex](x-a)^2+(y-b)^2[/tex]
Which of the following disjunctions is false ?
A. 4 - 3 = 2 or 6 · 3 = 9
B. 5 · 6 = 30 or 3 + 4 = 7
C. 8 + 3 = 11 or 5 · 4 = 23
D. 7 + 6 = 13 or 5 · 2 = 10
Answers
----------------------------------------------
Choice A
4-3=2 is false
6*3=9 is false
both parts are false, so overall the entire disjunction is false
----------------------------------------------
Choice B
5*6=30 is true
3+4=7 is true
Neither part is false, so overall the entire thing is true
----------------------------------------------
Choice C
8+3=11 is true
5*4=23 is false
While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
----------------------------------------------
Choice D
7+6=13 is true
5*2=10 is true
Neither part is false, so overall the entire thing is true
----------------------------------------------
----------------------------------------------
In summary, we have
A. False
B. True
C. True
D. True
Making choice A the only answer that is false. So choice A is the final answer
Both 4 – 3 = 2 and 6 · 3 = 9 parts are false, so overall the entire disjunction is false.
What is a disjunction?A logical relation called a disjunction states that either one or more of the stated choices are correct.
A. 4 – 3 = 2, is false
6 · 3 = 9, is false
Both parts are false, so overall the entire disjunction is false
B. 5 · 6 = 30, is true
3 + 4 = 7, is true
Neither part is false, so overall the entire thing is true
C. 8 + 3 = 11, is true
5 · 4 = 23, is false
While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
D. 7 + 6 = 13, is true
5 · 2 = 10, is true
Neither part is false, so overall the entire thing is true
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An article considered the use of a uniform distribution with A = 0.20 and B = 4.25 for the diameter X of a certain type of weld (mm).
Answers
Using the formula f(x) = 1/(b-a), where B is 4.25 and A is 0.20. Substituting these values to the formula, we get f(x) = 1/(4.25-0.2) = 0.24691358. Therefore, we get the answer f(x) = 0.24691358, 0.20<x<4.25. Otherwise, it is 0.
Using the formula f(x) =1/(b-a)
B is 4.25 and A is 0.20.
Put these values to the
We get f(x) = 1/(4.25-0.2) = 0.24691358.
f(x)= 0.24691358, 0.20<x<4.25.
Further Explanation:
uniform distribution:
A uniform distribution, some of the time otherwise called a rectangular circulation, is a dispersion that has steady likelihood. The likelihood thickness work and combined circulation work for a nonstop uniform appropriation on the interim are (1) (2).
we use uniform distribution:
The uniform circulation gets its name from the way that the probabilities for all results are the equivalent. Rather, every result is similarly prone to happen. Not at all like a chi-square dissemination, there is no skewness to a uniform dispersion. Accordingly, the mean and middle concur.
diameter:
In geometry, a breadth of a circle is any straight line portion that goes through the focal point of the circle and whose endpoints lie on the circle. It can likewise be characterized as the longest harmony of the circle. The two definitions are likewise substantial for the measurement of a circle.
formula of diameter:
In the event that you know the zone of the circle, separate the outcome by π and locate its square root to get the sweep; at that point increase by 2 to get the distance across. This returns to controlling the equation for finding the zone of a circle, A = πr2, to get the distance across. You can change this into r = √(A/π) cm.
Subject: mathematics
Level: High School
Keywords: uniform distribution, we use uniform distribution, diameter, formula of diameter.
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If a microscope has a series of three lenses that magnify individually 5x, 5x, and 7x, what is the total magnification of the microscope
Answers
Hope this helps!
The total magnification of the microscope is 175x.
Given that,
If a microscope has a series of three lenses that magnify individually 5x, 5x, and 7x.Based on the above information, the calculation is as follows:
[tex]= 5 \times 5 \times 7[/tex]
= 175x
Therefore we can conclude The total magnification of the microscope is 175x.
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A card is drawn from a standard deck of 52 cards. find p(drawing an ace and 9)
Answers
possibility of drawing any one card would be proportion
52(cards in deck) : 100%(full deck has 100%)=1(this is any one card in deck) : X(possibility you are looking for)
X=100/52=about 1.9% of geting Ace 9
name the property of equality or congruence that justifies going from the first statement to the second statement.
ST=QR
QR=ST
a) reflexive property of congruence
b) symmetric property of congruence
c) transitive property of congruence
d) substitution property of congruence
Answers
Which graph describes the open sentence –1 ≤ n + 2 ≤ 6?
A. Number line showing range from negative four to four. There are two rays on the graph. The first has a right end point with a closed dot at negative two with a ray pointing left past negative four. The second has a left end point with an open circle at three with a ray pointing right past four.
B. Number line -5 to +5 in single-integer increments - assessment graphic
C. Number line showing range from negative three to three The left end point is an open circle halfway between negative one and zero. There is a closed dot at three, and a ray points past three.
D. Number line showing range from negative eight to eight. There are two rays on the graph. The first has a right end point with an open circle halfway between negative six and negative four with a ray pointing left past negative eight. The second has a left end point with an open circle at four with a ray pointing right past eight.
Answers
The value of n≥-3 and n≤4 describes the open sentence -1≤n+2≤6
What will be the range of n for -1 ≤ n+2 ≤ 6 ?If we follow the above condition for the different values of n
At value of n=-3 we will get n+2=-3+2=-1
similarly at n=-2 we will get n+2=-2+2=0
and at n=-1 we will get n+2=-1+2=1
all three (-1,0,1) follow the condition -1 ≤ n+2
Similarly at n=(0,1,2,3,4) condition n+2 ≤ 6 is followed
Hence value of n≥-3 and n≤4 describes the open sentence -1≤n+2≤6
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The correct graph is option C.
Sure, let's break down the steps to understand why option C is the correct graph for the open sentence [tex]\(-1 \leq n + 2 \leq 6\)[/tex]:
1. Identify the Middle Term: The middle term in the open sentence is [tex]\(n + 2\)[/tex]. This means our focus is on the expression [tex]\(n + 2\)[/tex].
2. Understand the Inequality: The inequality [tex]\( -1 \leq n + 2 \leq 6\)[/tex] can be understood as "n + 2 is greater than or equal to -1 and less than or equal to 6".
3. Subtract 2 from Each Part: To isolate [tex]\(n\)[/tex], subtract 2 from each part of the inequality:
[tex]\[ -1 - 2 \leq n + 2 - 2 \leq 6 - 2 \][/tex]
Which simplifies to:
[tex]\[ -3 \leq n \leq 4 \][/tex]
4. Draw the Number Line: Draw a number line ranging from -3 to 4, inclusive.
5. Plot the Endpoints: On the number line, mark endpoints at -3 and 4.
6. Determine the Endpoints: Since the inequality includes "equal to" signs, the endpoints should be marked with closed dots (indicating inclusion).
7. Determine the Direction of the Ray: Since the inequality does not include strict inequality signs (< or >), the rays should extend in both directions from the endpoints.
8. Indicate the Rays: Draw rays to the left of -3 and to the right of 4, indicating the range extends indefinitely in both directions.
9. Mark the Open Circle: Since the inequality involves strict inequality at -1 and 6, mark an open circle at the points halfway between -1 and -3, and 6 and 4, respectively.
10. Verify the Result: The resulting graph should have closed dots at -3 and 4, indicating the range includes those values, and open circles at -1 and 6, indicating exclusion.
Option C correctly represents these steps, making it the correct graph.
The graph is given below:
Which number sentence best represents this story problem? Carol picks 42 apples. She puts an equal number of apples in each of 6 bags. How many apples are in each bag? A. 42 × 6 = ? B. 42 ÷ 6 = ? C. 42 + 6 = ? D. 42 – 6 = ?
Answers
The correct answer is B. 42 / 6.
This is because we are trying to find the amount of apples per bag and therefore we have to divide the total number of apples by the number of bags.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Factor out the greatest common factor. 2s4 - 4s2
Answers
Given that f(x) = 2x −5, find the value of x that makes f(x) = 15. (5 points)
5
10
20
25
Answers
15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x
ANSWER: The value of x is 10
Write the complete balanced equation for the reaction between barium oxide (BaO) and water (H2O). You do not need to make the subscripts smaller; just write them out as regular numbers. For example: H2O.
Answers
Answer:
The balanced chemical equation is ;
[tex]BaO(s)+H_2O(l)\rightarrow Ba(OH)_2(aq)[/tex]
Step-by-step explanation:
When barium hydroxide react with water it gives an alkaline solution of barium hydroxide.
The balanced chemical equation is given as:
[tex]BaO(s)+H_2O(l)\rightarrow Ba(OH)_2(aq)[/tex]
according to stoichiometry,when 1 mole of barium oxide reacts with 1 mole of water it gives 1 mole of barium hydroxide.
a right rectangular pyramid is shown. the height of the pyramid is 12 units the length are the width are 6 units and 8 units
Answers
Answer:
The answers are 10, 13, and 12.37
Step-by-step explanation:
Why are two lines with the same y intercept are perpendicular?
Answers
If you want to know why 2 lines are perpendicular or parallel you have to look @ the slope
Perpendicular: The slope is the negative reciprocal of the slope of the original equation (other line slope) what this means it that you flip the numerator and denominator and make it negative (or positive, depending if it's already negative)
Parallel: The slope is the same (see 2nd picture as an EX).
Two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The standard form of the lines are:
y = mx + c
Here m is the slope and c is the y-intercept of the line
mM = -1
The M is the slope of the second line which is perpendicular to the first one.
y = Mx + c (with the same y-intercept)
Thus, two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.
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Write an equation in point-slope form of the line through point J(-8,10) with slope -5.
A. y + 10 = -5(x + 8)
B. y - 10 = 5(x + 8)
C. y - 10 = -5(x + 8)
D. y - 10 = -5(x - 8)
Answers
Hope this helps! :)
REVISE: I accidently put y instead of x in the -5(x + 8) part. It's fixed now.
Solving systems of three equations w/ elimination
Answers
100 POINTS!!!!!!
RULES:
HAVE TO ANSWER CORRECTLY
HAVE TO ANSWER ALL 16 QUESTIONS
PLEASE ONLY ANSWER IF YOU ONLY KNOW THE ANSWER PARTIAL ANSWERS OR INCOMPLETE ANSWERS NOT ACCEPTED WILL BE REPORTED
POINT STEALERS BEWARE
1) How many moles are there in 24.5 grams of CoF3?
2) How many molecules are there in 150.00 grams of Na2SO4?
3) How many moles are there in 2.3 x 1024 atoms of sulfur?
4) How many grams are there in 7.40 x 1023 molecules of PH3?
5) How many moles are there in 7.5 x 1023 molecules of H2SO4?
6) How many molecules are there in 55.5 grams of Cu(ClO¬3)2?
7) How many grams are there in 8.20 x 1025 molecules of water?
8) How many molecules are there in 238.05 grams of CO2?
9) How many molecules are there in 2.35 grams of NH4F?
10) How many grams are there in 1.50 x 1023 molecules of N2H6?
11) How many molecules are there in 20.40 grams of SiCl4?
12) How many grams are there in 3.50 moles of AlCl3?
13) How many moles are there in 4.50 x 1022 molecules of CH4?
14) How many molecules are there in 9.34 grams of NO?
15) How many grams does 4.00 moles of UF6 weigh?
16) How many moles are there in 230.0 grams of NH4OH?
Answers
2.
Na = 23
S= 32
O= 16
3. 2355.2
4. 7570.2
5. 8.08 g/mol * 1.2 mol = 120 g
6. 0.024083482462885
7. 455176242.02054
srry this is all i can answer
The student's questions involve calculations of moles, mass, and molecule amounts in various chemical compounds based on stoichiometric principles. The answers are given as a sorted list. Values should be verified with available molar masses.
Explanation:This student's questions relate to moles, mass, and molecule amounts in different chemical compounds, following the principles of
stoichiometry
. Here are the answers, calculated using the appropriate molar mass for each substance:
24.5 grams of CoF3 is approximately 0.294 moles.150.00 grams of Na2SO4 equates to about 1.12 x 1024 molecules.2.3 x 1024 atoms of sulfur is around 38.18 moles.7.40 x 1023 molecules of PH3 is about 61.12 grams.7.5 x 1023 molecules of H2SO4 is around 49.89 moles.As chemistry problems can be complex, please double-check these answers using your own molar masses.
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Which choices are equivalent to the fraction below? Check all that apply.
Answers
answer is C and E
Choose the correct answer.
You are offered an item for $22.85. If the seller states he normally sells the same item for $29.95, what percentage discount is he offering you
A. 24.22
B.23.96
C.23.71
Answers
29.95 - 22.85 = 7.10
7.10 / 29.95 = 0.23706 = 23.71 percent
Answer is C
Answer:
23.71%
Step-by-step explanation:
Given :You are offered an item for $22.85. If the seller states he normally sells the same item for $29.95,
To Find :what percentage discount is he offering you
Solution :
The original price is $29.95
The offered price is $22.85
So the discount percentage = [tex]\frac{\text{original price-offered price}}{\text{original price}}*100[/tex]
= [tex]\frac{29.95-22.85}{29.95}*100[/tex]
= [tex]\frac{7.1}{29.95}*100[/tex]
= 23.71%
Thus the percentage of discount is 23.71%