The marked price of an article is 25% above the selling price and the cost price is 20% below the selling price. Find the rate of discount and the profit percentage.
Step-by-step explanation:
The marked price of an article is 25% above the SP and the CP is 20% below the selling price. What is the rate of discount and the profit percentage?
Let C, M & S denote cost-price, marked-price & sell-price respectively of the article.
Hence from above data we get following relations,
M = (1 + 25/100)*S = 1.25*S ….. (1a)
C = (1 - 20/100)*S = 0.80*S ….. (1b)
From (1a) we get,
S = (100/125)*M = (4/5)*M
or S = (1 - 1/5)*M = (1 - 20/100)*M ….. (2a)
From (1b) we get,
S = (100/80)*C = (5/4)*M
or S = (1 + 1/4)*C = (1 + 25/100)*C ….. (2b)
Therefore
It is evident from (2a) that
the discount percentage = 20% [Ans]
It is evident from (2b) that
the profit percentage = 25% [Ans]
Use the polygon tool to graph the reflection of this rectangle across the x-axis.
Answer:
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices of the given rectangle ABCD,
A(3, 6), B(12, 6), C(12, 1) and D(3, 1)
Rule for the reflection of a point across x-axis,
(x, y) → (x, -y)
After reflection of the given rectangle across x-axis image points will be,
A(3, 6) → A'(3, -6)
B(12, 6) → B'(12, -6)
C(12, 1) → C'(12, -1)
D(3, 1) → D'(3, -1)
Now we can plot these points on the graph to get the image of rectangle ABCD.
From the figure attached,
Coordinates of the vertices of the given rectangle ABCD,
A(3, 6), B(12, 6), C(12, 1) and D(3, 1)
Rule for the reflection of a point across x-axis,
(x, y) → (x, -y)
After reflection of the given rectangle across x-axis image points will be,
A(3, 6) → A'(3, -6)
B(12, 6) → B'(12, -6)
C(12, 1) → C'(12, -1)
D(3, 1) → D'(3, -1)
Now we can plot these points on the graph to get the image of rectangle ABCD.
Amber bought three 8 pound bags of dog food at $2.25 per pound, two 4 pound bags of cat food at $1.75 per pound, and three 1/4 pound bags of fish food at $6.98 per pound. Approximately how much did Amber spend on pet food?
Answer:
[tex]Total = \$73[/tex]
Step-by-step explanation:
Given
[tex]Three\ 8lb = \$2.25/lb[/tex] --- Dog Food
[tex]Two\ 4lb = \$1.75/lb[/tex] ----- Cat Food
[tex]Three\ \frac{1}{4}lb = \$6.98[/tex] -------- Fish Food
Required
Determine the amount spent
For Dog Food
[tex]1\ lb = \$2.25[/tex]
Amber bought 8lb.
So, that is:
[tex]8 * 1\ lb = \$2.25 * 8[/tex]
[tex]8\ lb = \$18[/tex]
He bought 3 of those;
[tex]Cost = 3 * \$18[/tex]
[tex]Cost = \$54[/tex]
For Cat Food
[tex]1\ lb = \$1.75[/tex]
Amber bought 4lb
So, that is:
[tex]4 * 1\ lb = 4 * \$1.75[/tex]
[tex]4\ lb = \$7[/tex]
He bought 2 of those;
[tex]Cost =2 * \$7[/tex]
[tex]Cost =\$14[/tex]
For Fish Food
[tex]1\ lb = \$6.98[/tex]
Amber bought 1/4lb
So, that is:
[tex]\frac{1}{4} * 1\ lb = \$6.98 * \frac{1}{4}[/tex]
[tex]\frac{1}{4}\ lb = \$1.745[/tex]
He bought 3 of those;
[tex]Cost = 3 * \$1.745[/tex]
[tex]Cost = \$5.235[/tex]
Total amount spent is:
[tex]Total = \$54 + \$14 + \$5.235[/tex]
[tex]Total = \$73.235[/tex]
[tex]Total = \$73[/tex] (approximated)
Write the equation in point-slope form of the line that passes through the given points. Then write the equation in slope-intercept form.
(-6,6),(3,3)
Answer:
point-slope form: [tex]y-3=-\frac{1}{3}(x - 3)[/tex]
slope-intercept form: [tex]y=-\frac{1}{3}x+4[/tex]
Step-by-step explanation:
point-slope form is: y - y1 = m(x - x1)
slope-intercept form is: y = mx + b
The formula used to find the slope(m): [tex]\frac{y2-y1}{x2-x1}[/tex]
(x1, y1) = (3, 3)
(x2, y2) = (-6, 6)
The first thing we need to do to write the equations is to find the slope. We can do this by inputting the given points into the slope formula:
[tex]\frac{6-3}{-6-3}[/tex]
Simplify:
6 - 3 = 3
-6 - 3 = -9
[tex]\frac{3}{-9} =-\frac{1}{3}[/tex]
The slope is [tex]-\frac{1}{3}[/tex]. We can now write the equation in point-slope form:
[tex]y-3=-\frac{1}{3}(x - 3)[/tex]
To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:
y = mx + b
3 = [tex]-\frac{1}{3}[/tex](3) + b
Now you can solve for b:
3 = [tex]-\frac{1}{3}[/tex](3) + b
3 = -1 + b
4 = b
Now that we know the value of b, we can write the equation in slope-intercept form:
[tex]y=-\frac{1}{3}x+4[/tex]
I hope this helps. :)
Equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.
What is slope of line?The slope of the line is the ratio of the rise to the run, or rise divided by the run.
The given two points are (-6,6) and (3,3)
x1=-6, y1=6, y1=3 and y2=3
m=y2-y1/x2-xq
m=3-6/3-(-6)
m=-3/9
m=-1/3
Hence slope of line is m=-1/3
To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:
y = mx + b
3=-1/3(3)+b
4=b
Now that we know the value of b, we can write the equation in slope-intercept form:
y=-1/3x+4
Hence equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.
To learn more on slope of line click:
https://brainly.com/question/14511992
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Gamestop charges only $7 per used video game. Gamefly charges a one time fee of $16 plus an additional $3 per used video game. Write and solve an equation to find when the cost of buying used video games from both companies below will be the same.
Answer:
The cost of buying used video games from both companies will the same at the 4th video game.
Step-by-step explanation:
Gamestop equation: 7x
Gamefly equation: 3x + 16
7x = 3x + 16
Subtract 3x from both sides;
4x = 16
Divide both sides by 4x
x = 4
Cuanto es 200 mas 30
Answer:
230
Step-by-step explanation:
230
Anna bought 5 1/10 (Five and one tenth)
gallons of gas that cost $1.39 per gallon.
What is the total cost of the gas?
Round to the nearest hundredth.
Answer:
$7.09
Step-by-step explanation:
Multiply 5.1 * 1.39 which equals 7.089. Then round to the nearest hundreth which will be 7.09.
Anyone want to help out my sister with this question?
Answer:
98
Step-by-step explanation:
First multiply both sides by 7, which would get you 4w= 392. Then divide each side by 4. Your answer should be w=98
5. Cardi B is buying packs of gum from the grocery store. The table shows the total cost of the gum based on the number of packs bought. Which of the following represents the constant of proportionality?
The population of Busy Village is 3 X 108, and the population of Boring Town is 6 X 103.
Busy Village is how many times the population of Boring Town?
Express your answer in proper scientific notation.
Answer:
5 × 10^4 timesStep-by-step explanation:
Busy Village: 3 × 10^8Boring Town: 6 × 10^3Busy Village is how many times the population of Boring Town?
3 × 10^8 / 6 × 10^3=30 × 10^7 / 6 × 10^3 =30/6 × 10^(7 - 3) = 5 × 10^4 times5 1/8 - 2 5/6
ANSWER ASAPPPP TO BE BRAINLIEST
EXPLAIN HOW AND BE RIGHT
Answer:
5 1/8 - 2 5/6
Step-by-step explanation:
Answer: 2 7 /24
Answer:
2 7/24
Step-by-step explanation:
let’s go ahead and make these fractions have the same denominator.
1/8 and 5/6
what multiple do they share?
8 * 3 = 24
6 * 4 = 24
we will change their denominators to 24.
Now to change the numerator you have to multiply it by what you multiplied the denominator by:
1/8 * 3/3 = 3/24
5/6 * 4/4 = 20/24
now we will add the whole numbers to the fraction:
5/1 * 24/24 = 120/24
2/1 * 24/24 = 48/24
now add these to the correct fraction:
120/24 + 3/24 = 123/24
48/24 + 20/24 = 68/24
Now subtract!
123/24 -68/24 = 55/24
Simplify:
55/24 = 2 7/24
Which expressions are equivalent to 15.8×300?
Select all correct answers.
A
4,740
B
15(300)×0.8(300)
C
15(300)+0.8(300)
D
15.8(3)+15.8(100)
E
15.8(3)×15.8(100)
Answer:
A and C
Step-by-step explanation:
Option A, Option C :D
is v+3+8v equivelent to 9v+3
7+ 10 = 16 + 2 true or false
Answer:
no bc if you simplify it's 17=18 which is not right
Answer:
true
Step-by-step explanation:
because that has a solution
24% of students buy lunch. 190 students bring lunch from home. How many students are in the sixth grade?
Answer:
45.6
Step-by-step explanation:
24% out of 190 = 45.6
Doug dives from a platform that is 5 meters above water. His dive takes him 2.1 meters below the surface of the water. How far does Doug's dive take him?
Answer: 7.1 meters
Step-by-step explanation:
Given that :
Height of platform from which Doug dived = 5 meters above water
Doug's position after diving = 2.1 meters below water surface
How far does Doug's dive take him?
Distance above water surface to water surface = 5m
Final position to water surface = 2.1 meters
Hence, total distance covered after dive ;
5 meters + 2.1 meters = 7.1 meters
What the answer to this
Step-by-step explanation:
b + 16 = 20
b = 20 - 16
b = 4%
i am sorry if this is wrong :/
An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is dropped from the observation deck, it's height h in feet, after t seconds, is given by h= -16t^2+152. How long will it take for the object to be 8 feet above the valley floor?
Answer:
3 secsStep-by-step explanation:
Given the height of the object as it drops from the observation deck expressed as;
h= -16t^2+152
To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;
8 = -16t^2+152
subtract 8 from both sides
8-8 = -16t^2+152-8
0 = -16t^2+144
0-144 = -16t^2
-144 = -16t^2
16t^2 = 144
Divide both sides by 16;
16t^2/16 = 144/16
t^2 = 9
t = √9
t = 3seconds
Hence it will take 3 seconds for the object to be 8 feet above the valley floor
You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights are shown. Write a system of linear equations that represents this situation.
Complete Question:
You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.
The initial heights are shown.
Write a system of linear equations that represents this situation.
Answer:
[tex]s(x) = 8 + 4x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Step-by-step explanation:
Given
Spruce Tree (s):
[tex]Initial\ Height = 8[/tex]
[tex]Growth = 4[/tex] (yearly)
Hemlock Tree (h):
[tex]Initial\ Height = 14[/tex]
[tex]Growth = 6[/tex] (yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
[tex]Equation = Initial\ Height + Growth * x[/tex]
For Spruce Tree (s):
[tex]s(x) = 8 + 4 * x[/tex]
[tex]s(x) = 8 + 4x[/tex]
For Hemlock Tree (h):
[tex]h(x) = 14 + 6 * x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]
factor completly f(x)=x^4-2x^3-3x^2+2x+2
9. Three minutes after a hot tub starts to fill, the tub contains 24
gallons of water. After 5 minutes the tub contains 40 gallons of water.
The relationship between the number the number of gallons in the hot
tub and the time in minutes is a proportional linear relationship.
Determine the number of gallons of water the tub increases per minute.
Answer:
8 gallons per minute
Step-by-step explanation:
24 gallons in 3 minutes
you divide 24 by 3 which is 8
40 gallons in 5 minutes
you divide 40 by 5 which is 8
the relationship is that in both the answer was 8 as in 8 gallons per minute
A right rectangular prism has a height of 2 1/2 inches, a width of 3 1/2 inches, and a length of 5 1/4 inches. What is the volume of the prism?
600 as a product of its prime factors
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]600 = 6 \times 10 \times 10[/tex]
[tex]600 = 2 \times 3 \times 2 \times 5 \times 2 \times 5[/tex]
[tex]600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5[/tex]
[tex]600 = {2}^{3} \times 3 \times {5}^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Estimate and then solve 1,596 ÷ 42 = ___. (4 points)
a
380
b
400
c
38
d
40
Answer:
D
Step-by-step explanation:
Estimating 1,596 will give you 1,600. Estimating 42 will give you 40. Dividing 1,600 ÷ 40 will give you 40. So, the answer would be D.
describe how you would find the rate of change from a graph?
I think it’s rise over run but it might not be
can anyone help me with this?
Answer:
Triangle QNR is congruent to Triangle RMQ by ASA congruence
Step-by-step explanation:
In Triangle QNR and Triangle RMQ,
QR = QR ( Common )
Angle MRQ = Angle NQR ( given )
Angle MQR = Angle NRQ ( Isoceles Triangle Property )
Therefore, Triangle QNR is congruent to Triangle RMQ by ASA congruence.
3 +5.2.c = 1 - 2.87
Answer:
-0.0936538462
Step-by-step explanation:
Start by solving the right side of the equation
1 - 2.87 = -1.87
now we have:
3 + 5.2c = -1.87
subtract 3 from both sides to get:
5.2c = -4.87
divide both sides by 5.2 to get:
-0.0936538462
hope that's what you're looking for! :)
1. There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. Exactly how many more girls are there than boys at Virginia Middle School?
Recommendations
Algebra 1
S.4 Find the slope from two points MD5
Find the slope of the line that passes through (1, 6) and (7, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answer:
[tex] \huge \orange{ \frac{1}{6} } \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{7 - 6}{7 - 1} = \frac{1}{6} \\ [/tex]
We have the final answer as
[tex] \frac{1}{6} \\ [/tex]
Hope this helps you
How many centiliters are in 5 quarts? quarts Right-arrow liters Right-arrow centiliters StartFraction 5 quarts Over 1 EndFraction times StartFraction a Over b EndFraction times StartFraction c Over d EndFraction = 475 centiliters a = b = c = d =
Answer:
A: 0.95 Liters
B: 1 quart
C: 100 centilitres
D: 1 Liter
Step-by-step explanation
Got it right in edge 2020
