Answer:
[tex] \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}[/tex]
Step-by-step explanation:
Let Cost price ( C.P ) be x
Finding the Marked price and selling price
Marked price = [tex] \sf{x + 20\% \: of \: x}[/tex]
⇒[tex] \sf{x + \frac{20}{100} \times x}[/tex]
⇒[tex] \sf{ \frac{x \times 100 + 20x}{100} }[/tex]
⇒[tex] \sf{ \frac{120x}{100} }[/tex] ⇒ ( i )
Selling price = [tex] \sf{marked \: price \: - 18\% \: of \: marked \: price}[/tex]
⇒[tex] \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }[/tex]
⇒[tex] \sf{ \frac{120x}{100} - \frac{54x}{250} }[/tex]
⇒[tex] \sf{ \frac{120x \times 5 - 54x \times 2}{500} }[/tex]
⇒[tex] \sf{ \frac{600x - 108x}{500} }[/tex]
⇒[tex] \sf{ \frac{492x}{500} }[/tex] ⇒ ( ii )
Finding the value of x ( Cost price )
[tex] \sf{loss = cost \: price - selling \: price}[/tex]
⇒[tex] \sf{20 = x - \frac{492x}{500} }[/tex]
⇒[tex] \sf{20 = \frac{x \times 500 - 492x}{500} }[/tex]
⇒[tex] \sf{20 = \frac{8x}{500} }[/tex]
⇒[tex] \sf{8x = 10000}[/tex]
⇒[tex] \sf{x = \frac{10000}{8} }[/tex]
⇒[tex] \sf{x = \: Rs \: 1250}[/tex]
Value of x ( cost price ) = Rs 1250
Now, Replacing the value of x in ( i ) in order to find the value of marked price
[tex] \sf{marked \: price = \frac{120x}{100} }[/tex]
⇒[tex] \sf{ \frac{120 \times 1250}{100} }[/tex]
⇒[tex] \sf{ \: Rs \: 1500}[/tex]
Replacing value of x in ( ii ) in order to find the value of selling price
[tex] \sf{selling \: price = \frac{492 \: x}{500} }[/tex]
⇒[tex] \sf{ \frac{615000}{500} }[/tex]
⇒[tex] \sf{ \: Rs \: 1230}[/tex]
Thus , Marked price of the fan = Rs 1500
Selling price of the fan = Rs 1230
Hope I helped!
Best regards!!
Warm-Up
Match the math vocabulary to parts of the expression w+ 5w. Two tiles will not be used.
Tiles
term
exponent
constant
expression
equation
variable
coefficient
Pairs
w2 + 5w
the win w2 + 5w
the 2 in w2 + 5W
the 5 in w2 + 5w
the w? or the 5w in w2 + 5w
Submit
Answer:
The w in w² + 5·w → Variable
The 2 in w² + 5·w → Exponent
The 5 in w² + 5·w → Coefficient
Step-by-step explanation:
1) The variable in an equation are the unknown values of the equation, and the values of the variables that meet the requirements of the equality are known as the solutions of the equations;
2) The exponent is the power to which a number or a variable is raised. It shows the number of times the variable or number multiples itself
3) The coefficient is the factor multiplying the variable in an equation or expression.
Answer:
w2 + 5w →→→ Expression
The w in w² + 5·w →→→ Variable
The 2 in w² + 5·w →→→ Exponent
The 5 in w² + 5·w →→→ Coefficient
the w? or the 5w in w2 + 5w →→→ Term
Step-by-step explanation:
Lydia guessed there were 180 jelly beans in a container.
There were actually 220 jelly beans in the container.
What was Lydia's percent error?
Answer:
18.18% error
Step-by-step explanation:
Use the percent error formula,
% error = | (measured - accepted) / accepted | x 100
Plug in the values we know:
% error = | (180 - 220) / 220 | x 100
% error = | - 0.18 | x 100
% error = 18.18% error
HELPPP ASAP Explain why each number is irrational
Answer:
okay check this ans
Step-by-step explanation:
1} pi is because it is non terminating...2) root seven also is because square roots of perfect squares are integers, the square roots of all other integers are irrational so..3) because its non-terminatingHOPE YOU FOUND THIS HELPFUL...
PLZ MARK BRAINLIEST IF YOU DID
Triangle A’ B’ C’ is a dilation of ABC. What is AB?
Is the inequality always, sometimes, or never true?
3x - 14 < 3(x-5)
Answer:
3x - 14 < 3x - 15
-14 < -15
never true
Step-by-step explanation:
Mandy's science class counted the bones in an owl pellet.
How many more rib bones were there than skull and jaw bones combined?
A car factory cuts sheets of metal that are two and ninety-eight thousandths meters long. How could you write the length of the sheets of metal in standard form?
Answer:
We can write it as: 298000 meters long
Which answer choice properly reflects labeling a ray with endpoint B and direction C.
Answer:
the 4th choice
Step-by-step explanation:
To name a ray, use two letters which are the names of points on the ray. The first letter is the endpoint of the ray. Here it is B. Then you use a letter which another point on the ray. Here it is C.
Answer: the 4th choice
8x+2>34 Y’all know how to do this?
Answer:
x>4
Step-by-step explanation:
8x+2>34
8x+2-2>34-2
8x>32
8x/8>32/8
x>4
{x:x=4,5,6,7,8,9...}
Hope this helps ;)❤❤❤
Answer:
x>4
Step-by-step explanation:
trust
is Ronald correct because 80,000,000 + 6,200 = 142,000,000,000. yes or no
Answer: Yes
Step-by-step explanation:
???
Answer:
No.
Step-by-step explanation:
If we line up the digits we see that:
80,000,000
+ 6,200
= 80,006,200
In 2003, a remote controlled model airplane became the first ever to fly nonstop across the Atlantic Ocean. The map shows the airplane’s position at three different points during its flight. Point A represents Cape Spear, Newfoundland, point B represents the approximate position after 1 day, and point C represents Mannin Bay, Ireland. The airplane left from Cape Spear and landed in Mannin Bay. Find the total distance the model airplane flew. It flew miles. The model airplane’s flight lasted nearly 38 hours. Estimate the airplane's average speed to the nearest mile per hour. The average speed was about miles per hour.
Answer:
1883 mi is the total distance the model airplane flew.
the average speed is about 50 mi/h
Step-by-step explanation:
what is 7a - 6 + 8a simplfied?
Answer:
15a - 6
Step-by-step explanation:
7a - 6 + 8a
Combine like terms
15a - 6
Mario and Luigi want to purchase some extra controllers for their friends. Each controller costs $29.99. Use an algebraic expression to describe how much they will spend in total, before sales tax, based on purchasing the console, the number of games, and the number of extra controllers
Answer:
C = 299x + 59.99y + 29.99z
Step-by-step explanation:
An algebraic expression is an expression in which it involves the numbers like 1,2,3 also it includes the operations such as additions, subtraction, multiplication, etc
Fo mentioning an algebraic expression, we do have following components
x = number of consoles purchased
y = number of games purchased
z = number of controllers purchased
C = total cost
Also, the total cost would be equivalent to the sum of the price and then it multiplied with the numbers as stated above
So, the algebraic expression is
C = 299x + 59.99y + 29.99z
i need help with this math problem??
Answer:
C
Step-by-step explanation:
.7
⅔= .666666
⅝=.625
65%= .65
.625<..65<.666<.7
what is 10+y,and 10+inf
Answer:
inf is the answer
Step-by-step explanation:
Answer:
∞Step-by-step explanation:
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours. On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip. Find the rate of the current
Answer:
1 mile/hr
Step-by-step explanation:
Let the Speed of the boat still in water = a
Speed of the current = b
We know from this formula that speed = distance/time
Hence,
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.
Downstream = a + b = 15/3
a + b = 5 .........Equation 1
On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.
Upstream = a - b = 15/5
a - b = 3 ..............Equation 2
Combining both Equation together
a + b = 5 .........Equation 1
a - b = 3 ..............Equation 2
Subtracting Equation 2 from Equation 1
2b = 2
b = 2/2
b = 1miles/hr
Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr
The sum of twice a number and five is 13. Find the number.
4
let the number be x
so by the question , 2x+5=13
solving this we get ,
2x=13-5
2x=8
so x=4
Answer:
the number is 4
Step-by-step explanation:
let the number be ''x''
than twice the number will be 2x
now,
2x + 5 = 13
2x = 13 - 5
2x = 8
x = 8/2
x= 4
3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.
Answer:
Sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.
Step-by-step explanation:
In the given triangular birdcage, sides of the triangle are consecutive integers.
Let sides of the triangle are x, (x + 1), (x + 2) cm.
Perimeter of a triangle = Sum of all sides of the given triangle
114 = x + (x + 1) + (x + 2)
114 = 3x + 3
3x = 111
x = [tex]\frac{111}{3}[/tex]
x = 37
Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.
Find the co-ordinate of a pont on Y-axis which is at a distance of 17 units from the point(-8,3)
Answer:
15 units
Step-by-step explanation:
√[ 17² - ( - 8)² ] = 15 ( on y-axis )
Coordinate of the point = ( 0 , 15 )
1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did
the store receive?
Answer:
2400 eggs
Step-by-step explanation:
12*200=2400
regina and sam are multiplying (8^4)^5 (7^3)^9
are either one of them correct? Explain your reasoning
Answer:
Sam is correct since he followed the rule of powers.
Reina is incorrect.
Step-by-step explanation:
Rule of a power raised to a power.
[tex] (a^m)^n = a^{mn} [/tex]
To raise a power to a power, multiply the powers.
Sam is correct since he multiplied the exponents correctly.
Complete the following problem and round to the correct number of significant figures:
1.050 + 3.0 + 7.8000
HeLp PlEasE What is the factored form of the following expression? 9x2 + 18x + 9 A. 3(x + 3)(3x + 1) B. 9(x + 1)2 C. (9x + 1)(x + 9) D. 3(x + 1)2 help DDDDDDD:
Answer:
The answer is option BStep-by-step explanation:
9x² + 18x + 9
Factor out 9 from the expression
That's
9( x² + 2x + 1)
Using the identity
a² + 2ab + b² = ( a + b)² factor the expression
We have the final answer as
9( x + 1)²Hope this helps you
toilet paper is sold in cases of 36 rolls for 14.99 what is the price per roll (unite rate)
Answer:
0.42 per roll
Step-by-step explanation:
You divide 14.99 by 36 and get 0.4163888 (8 repeating) and you round up because it is money.
A grocer makes a graph of how many bananas are sold at different stores on Tuesday.
How many total bananas did the stores sell on tuesday?
Answer:
Step-by-step explanation:
Total of banana
symbols=4.5+6+3+2.5=16
total bananas=16×6=96
The segments shown below could form a triangle,
A
С
9
7
16
С
A
A. True
B. False
Answer: the answer is false
Step-by-step explanation:
i just took the test :)
Answer:
This is false
Step-by-step explanation:
A 3% salt solution weighing 100g represents 100g of water in which 3g of salt is dissolved (=3/10). What amount of salt would be combined in 100g of a 14% salt solution? And how many grams of water are in the same solution?
Answer:
There would be 12 g of salt (12.3 g actually but rounded) and 88g of water (88.7 g actually but rounded)
Step-by-step explanation:
From the question, a 14% salt solution means 14g of salt in 100g of water.
What this means is that, the fraction of salt to water in the solution would be 14/100 which is same as 7/50
Now, we want to know the amount of salt and the amount of water in a 100g of 14% salt solution.
Looking at the ratio salt to water, we have 7 to 50
For every 50 parts of water, there are 7 parts of salt.
So the ratio of both is 7:50
For salt, the amount in grammes present will be ;
7/(50 + 7) * 100g = 7/57 * 100 = 12.3 g or 12g to the nearest whole number
The amount in grammes of water present will be ;
50/(50 + 7) * 100g = 50/57 * 100 = 87.7g or 88g to the nearest whole number
Mr. Drew wants to build a square sandbox with an area of 361 square feet. What is the total length of the wood Mr. Drew needs make the sides of the sandbox
Answer:
The Sandbox must be 19x19 for the area to be 361.
Step-by-step explanation:
(19x19=361)
The length of the sandbox will be 19 feet.
What is the area of the square?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that Mr. Drew wants to build a square sandbox with an area of 361 square feet.
The length will be calculated by using the area formula for square;
Area of square = Length x width
Then the area of the square can be written as;
Area of square = ( Length )²
361= ( Length )²
( Length ) = √361
( Length ) = 19feet
Therefore, the length of the sandbox will be 19feet.
To know more about an area of the square follow;
brainly.com/question/13389992
#SPJ2
PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! 2 QUESTIONS!!
3. Which information can always be read directly from an equation written in point-slope form?
A) The location of the X-intercept.
B) The location of 2(X,Y) coordinate points.
C) The location of a point on the line.
5. Which is the slope-intercept form of the equation y-9=3(x-1)
A) Y= -1/3x-3
B) Y= 3x+6
C) Y= 3x-12
Answer:
5. (B) Y= 3x+6Step-by-step explanation:
5.
[tex]y-9=3(x-1)\\y -9 =3x-3\\y= 3x-3+9\\y = 3x+6\\\\Slope-intercept form = y=mx+b\\\\y = 3x+6[/tex]
Answer:
3. C
Step-by-step explanation:
Point slope form shows you the slope and point on the graph, NOT Y INTERCEPT
Hope this helps
As always comment if i made a mistake here
14. The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is __________.
Answer:
The range of the data is 19.
Step-by-step explanation:
To solve this problem, we must remember that to calculate the range, we subtract the smallest data point in the set from the largest data point. In this case, the largest number is 25 and the smallest number is 6.
Therefore the range is:
25 - 6
= 19
Hope this helps!
Answer:
The range is 19
Step-by-step explanation:
6, 8, 16, 22, 8, 20, 7, 25 is
List the numbers from smallest to largest
6, 7,8, 8 ,16,20, 22,25
The range is the largest number minus the smallest number
25 - 6
19
The range is 19