Answer:
Supplementary anglesStep-by-step explanation:
Supplementary angles add up to 180°.
m∠VST = m∠VSW + m∠TSW
m∠VST = 180° → m∠VSW + m∠TSW = 180°
Answer:
supplementary
Step-by-step explanation:
acute= less then 90 degrees
straight=180 degrees
complementary= 2 angles that equal 90 degrees
supplementary=2 angles that equal 180 degrees
HELPPPPP!!!! 25 POINTS!!!!
Answer:
15! I hope this helped!
Step-by-step explanation:
You add 8+7
Answer:
0/15
Step-by-step explanation:
I'd like to apologize for the person before me who answered this question completely incorrectly.
Next, I'd be happy to help you.
Start with the second y value, which in this case is 7, and subtract -8 from it.
7 - (-8) = 15
Then, subtract the second x value, from the first x value.
2-2 = 0.
The distance between the 2 points is 0/15.
4) 8(-2 + 2n) + 3n = 40 +5n
Answer:
use the distributive property to distribute the 8
-16+16n+3n=40+5n
-16+19n=40+5n
-16=40+5n-19n
-16=40-14n
-14n+40= -16
-14n= -16-40
-14n= -56
n= -56/-14
n= 4
Answer: n=4
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps you out! If you need anymore help with math, let me know and I will be more than happy to help you! ☺
-Karleif Jonsi-
What is the solution to this system of equation?
x=2y-4
7x+5y= -66
Answer:
x=-8 y=-2
Step-by-step explanation:
substitute x for 2y-4
7(2y-4)+5y=-66
factor
14y-28+5y=-66
add 28 on both sides
14y+5y=-38
19y=-38
divide by 19 on both sides
y=-(38/19)
y=-2
Plug -2 into the first equation for y
x=2(-2)-4
x=-4-4
x=-8
For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?
A)
51 cm
870 cm
107 cm
127 cm
Answer:
[tex]10\pi\ cm[/tex] or [tex]31.4\ cm[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=15\ cm[/tex]
substitute
[tex]C=2\pi (15)[/tex]
[tex]C=30\pi\ cm[/tex]
step 2
Remember that the circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find the length of an arc by a central angle of 120 degrees
[tex]\frac{30\pi}{360^o}=\frac{x}{120^o}\\\\x=30\pi(120^o)/360^o\\\\x= 10\pi\ cm[/tex]
The exact value of the length of the arc is [tex]10\pi\ cm[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]10(3.14)=31.4\ cm[/tex] ---> approximate value
Answer:
Step-by-step explanation:
About 31.4 based on the other answers I have seen.
Which of the following expressions are equivalent to 6.53 - (-4.11) + 7.926.53?
(Choice A)
A
6.53-(-4.11+7.92)6.53−(−4.11+7.92)6, point, 53, minus, left parenthesis, minus, 4, point, 11, plus, 7, point, 92, right parenthesis
(Choice B)
B
6.53 + 4.11 + 7.926.53+4.11+7.926, point, 53, plus, 4, point, 11, plus, 7, point, 92
(Choice C)
C
-(-6.53)+4.11-(-7.92)−(−6.53)+4.11−(−7.92)minus, left parenthesis, minus, 6, point, 53, right parenthesis, plus, 4, point, 11, minus, left parenthesis, minus, 7, point, 92, right parenthesis
(Choice D)
D
6.53-4.11+7.926.53−4.11+7.926, point, 53, minus, 4, point, 11, plus, 7, point, 92
(Choice E)
E
-6.53-4.11-7.92−6.53−4.11−7.92minus, 6, point, 53, minus, 4, point, 11, minus, 7, point, 92
Answer:
Choice B and Choise C.
Step-by-step explanation:
Equivalent expressions are those expressions that have the same value but they look different.
Given the following expression provided in the exercise:
[tex]6.53 - (-4.11) + 7.92[/tex]
You need to remember the multiplication of signs in order to find the equivalent expressions:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
Then:
- Eliminating the parentheses, you get this equivalent expression:
[tex]6.53 +4.11 + 7.92[/tex]
- Since the mulplication of two negative signs gives yous a positive sign, you can rewrite the original expression in this form:
[tex]-(-6.53)+4.11-(-7.92)[/tex]
This is an equivalent expression to [tex]6.53 - (-4.11) + 7.92[/tex]
Answer:
b & c
Step-by-step explanation:
I did it on khan academy and it was right
A blueprint for a house states that a 6 inch line represents 11 feet on the actual home. If the house is to be a
total height of 20 feet, how many inches high would it be on the blueprint?
The house will be 10.9 inches high on the blueprint.
Step-by-step explanation:
Given,
Scale on blue print;
6 inch = 11 feet
We will find unit rate in terms of foot.
1 foot = [tex]\frac{6}{11}\ inches[/tex]
Therefore;
20 feet = [tex]\frac{6}{11}*20 = \frac{120}{11}[/tex]
20 feet = 10.9 inches
The house will be 10.9 inches high on the blueprint.
Keywords: unit rate, division
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The house would be approximately 10.91 inches tall on the blueprint to represent a 20-foot actual height.
The student asked how many inches high a house would be on a blueprint if the actual home is to be 20 feet tall, and a blueprint states that a 6-inch line represents 11 feet on the actual home. To solve this, we set up a proportion to determine the blueprint's height. The proportion is 6 inches/11 feet = x inches/20 feet, where x represents the height on the blueprint. First, write the proportion as 6 inches/11 feet = x inches/20 feet. Then, cross-multiply to get 11 feet * x inches = 6 inches * 20 feet. To find x, divide both sides of the equation by 11 feet, getting x = (6 inches * 20 feet) / 11 feet. After calculating, we find that x ≈ 10.91 inches. Therefore, on the blueprint, the house would be approximately 10.91 inches tall to represent an actual height of 20 feet.
A custodian plans to repaint some classrooms. He has 5 = gallons of paint. All of
the bookcases are the same size and each requires 2 gallons of paint. How many
bookcases will he be able to repaint with that amount of paint? Show your work...
Answer: 2 bookcases.
Step-by-step explanation:
Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.
According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:
[tex]\frac{2}{1}=\frac{5}{x}[/tex]
Now you must solve for "x" in order to find its value:
[tex](x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5[/tex]
Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:
[tex]x\approx2[/tex]
The custodian will be able to repaint 2 bookcases with 5 gallons of paint.
Explanation:To determine the number of bookcases the custodian will be able to repaint with 5 gallons of paint, we need to divide the total amount of paint by the amount of paint required for each bookcase. Each bookcase requires 2 gallons of paint, so we divide 5 gallons by 2 gallons per bookcase:
5 gallons ÷ 2 gallons/bookcase = 2.5 bookcases
Since we cannot have 0.5 of a bookcase, the custodian will be able to repaint 2 bookcases with 5 gallons of paint.
A room has dimensions 6.8m x 9.2m. Steven wants to paint the walls of the room. A large tin of paint covers 20m^2 and cost £11.75. Ignoring windows and doors, and allowing for 2 coats of paint, how much will it cost Steven to paint the room.
Answer:
The Total cost of 2 coats of paint in the room is 73.508 pounds
Step-by-step explanation:
Given as :
The length of the room = L = 6.8 meters
The breadth of the room = B = 9.2 meters
The cost of paint to cover 20 meters² area = 11.75 pounds
Let The cost painting the room = x pounds
Now, According to question
The Area of rectangular room = Length × breadth
Or, Area = L×B
Or, A = 6.8 meters × 9.2 meters
Or, Area = 62.56 meters²
∵ cost of paint to cover 20 meters² area = 11.75 pounds
∴ cost of paint to cover 62.56 meters² area = [tex]\dfrac{11.75}{20}[/tex] × 62.56 pounds
Or, x = 0.5875 × 62.56 pounds
Or, x = 36.754 pounds
So, cost painting the room = x = 36.754 pounds
Now, Since 2 coats of paints is allowed in the room
And The cost of 1 coats of paints = 36.754 pounds
So, The cost of 2 coats of paints = 36.754 × 2 pounds
i.e The cost of 2 coats of paints = 73.508 pounds
Hence, The cost of 2 coats of paint in the room is 73.508 pounds Answer
How much would $150 invested at 8% interest compounded continuously be
worth after 17 years? Round your answer to the nearest cent.
A(t) = Poet
Answer:
[tex]A=\$584.43[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=17\ years\\ P=\$150\\ r=8\%=8/100=0.08[/tex]
substitute in the formula above
[tex]A=150(e)^{0.08*17}[/tex]
[tex]A=150(e)^{1.36}[/tex]
[tex]A=\$584.43[/tex]
What is the answer to -5(1+5p)=7p-5
[tex]\text{Solve:}\\\\-5(1+5p)=7p-5\\\\\text{Distribute the -5 to the variables inside the parenthesis}\\\\-5 - 25p=7p-5\\\\\text{Add 5 to both sides}\\\\-25p=7p\\\\\text{Subtract 7p from both sides}\\\\-32p=0\\\\\text{Divide both sides by -32}\\\\\boxed{p=0}[/tex]
a salesperson at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold. a. how many vehicles does the salesperson need to sell in a month to earn $4400?
Answer:
8 vehicle.
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
[tex]\$ 4400-\$ 2400= \$ 2000[/tex]
∴ $2000 need to be earned only through incentive, which is $250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle= [tex]\frac{2000}{250}= 8\ vehicles[/tex]
∴ 8 vehicles need to be sold by salesperson to get total earning as $4400.
The salesperson needs to sell 8 vehicles to earn a total of $4400 in a month.
To determine the number of vehicles a salesperson needs to sell to earn a total of $4400, we can set up an equation based on the information provided.
The salesperson earns a fixed monthly salary of $2400 and an additional $250 for each vehicle sold. Let's denote the number of vehicles sold as x
We want the total earnings E to be $4400, so we set up the equation:
4400 = 2400 + 250x
Now, we solve for x
250x = 4400 - 2400
x= 8
Therefore, the salesperson needs to sell 8 vehicles to earn a total of $4400 in a month.
Which fraction is equivalent to -3/7
3/-7
-3/-7
-7/3
7/3
Answer:
3/-7
Step-by-step explanation:
They’re correct!
Help I’m so confused
Answer:
The measure of arc AC is [tex]136^o[/tex]
Step-by-step explanation:
Notice that angle BAC (whose measure is given as 34 degrees) is an inscribed angle, and according toe the inscribed angle theorem, the measure of an inscribed angle is half the measure of the central angle that subtends the same chord.
Then, the central angle that subtends the cord BC, is twice 34 degrees ([tex]2\,*\,34^o = 68^o[/tex])
Then, since they give us also the measure of the arc AB which is [tex]156^o[/tex], then the measure of arc AC can be estimated as the needed measure to complete [tex]360^o[/tex] as the sum of all three arcs. That is:
[tex]AC + AB+ BC = 360^o\\AC + 156^o+2\,*\,34^o = 360^o\\AC + 156^o+68^o = 360^o\\AC=360^o-156^o-68^o\\AC=136^o[/tex]
Given that the the graph represents a system of equations on a coordinate plane, how many solutions does the system have?
A) no solution
B) one solution
C) infinitely many solutions
D) can not be determined from the graph HELP MEEE
Answer:
Option A) no solution
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The solution of the system of equations is the intersection point both graphs
In this problem the lines are parallel
so
The lines do not intersect
Therefore
The system has no solution ( Is an inconsistent system)
Answer:
b
Step-by-step explanation:
i just did the usa test prep
Solve the following formula for h. A=1/2bh
Answer:
h=2A/b
Step-by-step explanation:
A=1/2bh
bh=A/(1/2)
bh=(A/1)(2/1)
bh=2A/1
bh=2A
h=2A/b
Graph the function.
f(x)= -2/3x +2
Use the Line tool and select two points to graph.
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is hte y-intercept.
In this case, given the linear function:
[tex]f(x)= -\frac{2}{3}x +2[/tex]
You can rewrite it as:
[tex]y= -\frac{2}{3}x +2[/tex]
You can identify in the graph that the y-intercept is:
[tex]b=2[/tex]
Now, in order to find the x-intercept, you can substitute [tex]y=0[/tex] and solve for "x". This is:
[tex]0= -\frac{2}{3}x +2\\\\(-2)(3)=-2x\\\\\frac{-6}{-2}=x\\\\x=3[/tex]
Finally, knowing the y-intercept and the x-intercept, you can graph the function (See the graph attached)
HELP ME URGENT!!!!! 12 POINTS
Complete the point-slope equation of the line through (-2,6) and (1,1)
y-6____
Answer:
Step-by-step explanation:
(-2,6),(1,1)
slope = (1 - 6) / (1 - (-2) = -5/3
y - y1 = m(x - x1)
slope(m) = -5/3
(-2,6)....x1 = -2 and y1 = 6
and we get :
y - 6 = -5/3(x - (-2)...which can further be simplified to :
y - 6 = -5/3(x + 2) <=== ur answer
Solve the problem.
Joe is going to travel to Dallas. He lives 360 miles away and can average 60 miles per hour. Write a linear model that
represents Joe's distance from Dallas, d(t), traveled as a function of time, t, in hours.
a d(t) = 360 - 60t
C d(t) = 360t + 60
b. d(t) = 600
d. d(t) = 360 + 60t
Please select the best answer from the choices provided
Option A: d(t) = 360-60t is the right answer
Step-by-step explanation:
We will write the given problem in terms of function to find the correct answer.
Let d(t) be the function and t be the number of hours.
Total distance is 360 miles and with each passing hour the distance will reduce 60 miles
So,
The function is:
[tex]d(t) = 360-60t[/tex]
Hence,
Option A: d(t) = 360-60t is the right answer
Keywords: Functions, word problems
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Write a related subtraction fact for 5+7=12
Answer:
A related subtraction fact would be either
12-5=7 or
12-7=5
Step-by-step explanation:
Answer:
a related subtraction fact for 5+7=12 would be 12-7=5
rewrite the expression in the form 4^n. 4^4*4^3
Answer:
[tex]4^7[/tex]
Step-by-step explanation:
If we use one of the property of exponents rules:
[tex]x^a*x^b=x^a^+^b[/tex][tex]4^4*4^3=4^4^+^3=4^7[/tex]
PLEASE HELP Simplify 9 − (−4).
A. −13
B. −5
C. 5
D. 13
PLEASE HELP
please solve with work much appreciated
Answer:
[tex]293,148\ mm^2[/tex]
Step-by-step explanation:
The cup has cylivdrical shape. Find the volume of the cylinder using formula
[tex]V=\pi r^2h,[/tex]
where
r = base radius
h = height
In your case,
r = 36 mm
h = 72 mm
then
[tex]V=\pi \cdot 36^2\cdot 72=93,312\pi \ mm^2\approx 293,148\ mm^2[/tex]
Sonoma bikes 5 miles to Paige's house. On a map, they measure that distance as 5/6cm. The same map shows that the mall is 3 1/2cm from Paige's house. What is the actual distance between Paige's house and the mall?
Answer:
21 miles
Step-by-step explanation:
Hence, the actual distance between Paige's house and the mall is [tex]21[/tex] miles.
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Sonoma bikes [tex]5[/tex] miles to Paige's house. On a map, they measure that distance as [tex]\frac{5}{6}[/tex]cm. The same map shows that the mall is [tex]3\frac{1}{2}[/tex]cm from Paige's house.
Let the actual distance between Paige's house and the mall is [tex]x[/tex]
So,
[tex]\frac{5}{\frac{5}{6}}=\frac{x}{\frac{7}{2}}\\\\\\5(\frac{6}{5})=x(\frac{2}{7})\\\\\\6=\frac{2x}{7}\\\\\\x=6(\frac{7}{2})\\\\\\x=\frac{42}{2}\\\\\\x=21[/tex]
Hence, the actual distance between Paige's house and the mall is [tex]21[/tex] miles.
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Fill in the blank.
7 ft. = __Inches
Inches
Answer:
84
Step-by-step explanation:
7x12
An inscribed triangle with the hypotenuse being the diameter of the circle has angle A be 42 degrees. Angle C is 90 degrees. The area of the triangle ACK is 50cm^2. Find the radius of the circle
Answer:
The Radius of circle is 7.15 cm
Step-by-step explanation:
Given as :
A Triangle is inscribed into circle
The center of circle is O
The Diameter of circle = AK = d
The hypotenuse of triangle being the diameter of circle
The Area of triangle = 50 cm²
Let The radius of circle = r cm
The Triangle is right angle at c
So , ∠ACK = 90°
∠CAK = 42°
∠AKC = 180° - (90° + 42°)
So, ∠AKC = 48°
Now, ∵ Area of triangle ACK = 50 cm²
So, [tex]\dfrac{1}{2}[/tex] × AC × CK = 50
Or, AC × CK = 50 × 2
i.e , AC × CK = 100 ..........1
From figure
Sin 48° = [tex]\dfrac{AC}{AK}[/tex]
Or, 0.74 = [tex]\dfrac{AC}{d}[/tex]
∴ AC = 0.74 d ..........2
Similarly
Sin 42° = [tex]\dfrac{CK}{AK}[/tex]
Or, 0.66 = [tex]\dfrac{CK}{d}[/tex]
∴ CK = 0.66 d .............3
Putting eq 2 and 3 value into eq 1
i.e AC × CK = 100
Or, 0.74 d × 0.66 d = 100
Or, 0.4884 × d² = 100
∴ d² = [tex]\dfrac{100}{0.4884}[/tex]
Or, d² = 204.75
Or, d = [tex]\sqrt{204.75}[/tex]
Or, d = 14.30
So, The diameter of circle = d = 14.30 cm
Now, Radius of circle = [tex]\dfrac{\textrm diameter}{2}[/tex]
Or, r = [tex]\dfrac{\textrm 14.30 cm}{2}[/tex]
i.e r = 7.15 cm
So, The Radius of circle = r = 7.15 cm
Hence, The Radius of circle is 7.15 cm Answer
Julia shipped 6 packages. The lightest one weighted 24 pounds and the heaviest one weighed 67 pounds which is a reasonable range for the total weigh of the 6 packages?
43 pounds is a reasonable range for the total weigh of 6 packages.
Step-by-step explanation:
Given,
Number of packages shipped = 6
Weight of lightest = 24 pounds
Weight of heaviest = 67 pounds
Let,
a, b, c, d be the weight of other four packages.
24, a, b, c, d, 67 (written in lighter to heavier weight order)
Range is defined as the difference between the lowest and highest values.
Range = Highest weight - Lowest weight
Range = 67 - 24 = 43 pounds
43 pounds is a reasonable range for the total weigh of 6 packages.
Keywords: range, difference
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The reasonable range for the total weight of the 6 packages is 24 pounds to 67 pounds.
Explanation:The reasonable range for the total weight of the 6 packages is 24 pounds to 67 pounds.
Since the lightest package weighs 24 pounds and the heaviest package weighs 67 pounds, any total weight between these two values would be reasonable.
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If 3 hippos eat 5 pumpkins , how many pumpkins per hippo is that ?
Let's solve this problem step by step.
1. We are given the total number of hippos, which is 3.
2. We are also given the total number of pumpkins, which is 5.
3. We want to find out how many pumpkins each hippo gets if the pumpkins are distributed evenly among the hippos.
To find out the number of pumpkins per hippo, we divide the total number of pumpkins by the total number of hippos.
4. Performing the division, we have:
\( \frac{5 \, \text{pumpkins}}{3 \, \text{hippos}} = 1.666... \)
5. Each hippo gets approximately 1.666... pumpkins.
To express the number with a finite number of decimal places, we can round it to the desired precision. For example, rounding to two decimal places, we get 1.67 pumpkins per hippo. This is a simplification, as the fraction actually represents a repeating decimal with the digit 6 repeating indefinitely (i.e., 1.\(\overline{6}\) pumpkins per hippo).
What polynomial should be subtracted from the polynomial y2–5y+1 to get the difference equal to:
5
The required polynomial that should be subtracted from the polynomial [tex]y^2-5y+1[/tex] to get the difference equal to 5 is [tex]y^2-5y-4[/tex]
Step-by-step explanation:
We need to find polynomial that should be subtracted from the polynomial [tex]y^2-5y+1[/tex] to get the difference equal to 5
Let the required polynomial be x
We are given:
[tex]y^2-5y+1-(x)=5[/tex]
We need to find the value of x
[tex]-x=5-y^2+5y-1\\-x=-y^2+5y+4[/tex]
Divide both sides by - 1
[tex]x=y^2-5y-4[/tex]
So, the required polynomial that should be subtracted from the polynomial [tex]y^2-5y+1[/tex] to get the difference equal to 5 is [tex]y^2-5y-4[/tex]
Keywords: Solving Polynomials
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Each hotdog cost $1.50 and sodas cost $.50. At the end of the day you made a total of $78.50.You sold a total of 87 hot dogs and sodas combined.How many hotdogs and sodas were sold?
Answer:
35 hotdogs and 52 sodas were sold.
Step-by-step explanation:
Create equations to represent the problem.
let "d" be the number of hotdogs sold
let "a" be the number of sodas sold
1.5d + 0.5a = 78.50 Equation for money made
d + a = 87 Equation for items sold
Rearrange d + a = 87 to isolate one of the variables.
a = 87 - d
Substitute a for 87-d into the other equation. Isolate using reverse operations.
1.5d + 0.5a = 78.50
1.5d + 0.5(87 - d) = 78.50 Distribute over brackets by multiplying
1.5d + 43.5 - 0.5d = 78.50 Collect like terms
43.5 + d = 78.50 1.5d - 0.5d is 1d. You don't need to write "1".
43.5 + d - 43.5 = 78.50 - 43.5 Isolate d, subtract 43.5 from both sides
d = 35 Number of hotdogs sold
Substitute d for 35 in the simpler equation
d + a = 87
35 + a = 87 Subtract 35 form both sides to isolate "a".
a = 87 - 35
a = 52 Number of sodas sold
Therefore 35 hotdogs and 52 sodas were sold.
A music player was marked down by 1/4 of the original price.
a. If the sales price is $128, what is the original price?
b. If the music player was marked up by 1/2 before it was placed on the sales floor, what was the price that the store paid for the player?
c. What is the difference between the discount price and the price that the store paid for the music player?
PLEASE SHOW ALL OF YOUR WORK! I NEED THIS ASAP! I WILL GIVE YOU BRAINLIEST! IF YOU SEND ME NONSENSE OR ANSWERS WITH NO WORK, I WILL REPORT YOU!!!! HAPPY NEW YEAR!!!!!!!!!!
Answer:
Step-by-step explanation:
marked down by 1/4 of the original price.
let x represent original price
original price - 1/4 of original price = sales price
x - 1/4x = 128
4/4x - 1/4x = 128
3/4x = 128
x = 128/(3/4)
x = 128 * 4/3
x = 512/3
x = 170.666 rounds to 170.67 <== original price
==============================
I hope I am understanding this one correctly...
let x = price the store paid
x + 1/2x = 170.67
2/2x + 1/2x = 170.67
3/2x = 170.67
x = 170.67 / (3/2)
x = 170.67 * 2/3
x = 341.34/3
x = 113.78 <=== what the store paid
===========================
the difference between the discount price..I am assuming this is the $ 128 from part A.....and what the store paid....113.78...from part B..
128 - 113.78 = $ 14.22 <==
I am not completely sure about B and C......B confused me.....and if B is wrong, so is C.