[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]
We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]
[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]
[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]
[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]
Hence , SP = Rs 3600[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]
Let Marked Price [ MP ] be x.[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]
[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]
[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]
Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)A national sampling of cookie preferences showed that 75% of people like chocolate chip, 50% like peanut butter, and only 3% like coconut. The use of this information makes sense in which of the following scenarios? A. The school cafeteria decides to make 3 coconut cookies for each 100 students who buy lunch, even though it puts them over budget for desserts. B. A national cookie company is thinking of changing the recipe in their peanut butter cookies. C. A national cookie company decides to spend $5 million in advertising to convince people to eat coconut cookies. D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Answer:
D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Step-by-step explanation:
I believe that is correct....
Rational exponents
I need help ASAP!! Can someone solve and explain step by step how to do it???
Answer:
a . x = 512
b. x^1/2•y•z^5/4
Step-by-step explanation:
a. Here in this question, we want to find the value of x, given the equation.
x^2/3 = 64
Now, to find the value of x, we shall raising both powers to the reciprocal of 2/3
When we talk of reciprocal, we mean a number such that when we multiply this number by that particular number, our result is 1.
So for 2/3, the reciprocal is 3/2
So let’s raise the power of both sides to 3/2
Thus;
x^2/3(3/2) = 64^3/2
Kindly recall that 2/3(3/2) = 2/3 * 3/2 = 1
Thus ;
x = 64^3/2
So what this mean is that we will find the square root of 64 and cube our answer.
Thus;
x = {√(64)}^3
x = 8^3
x = 512
b. According to laws of indices, kindly note that
b√(a) = a^1/b
Thus;
4 √(x^2•y^4•z^5) = (x^2•y^4•z^5)^1/4
So what we do is to multiply each of the powers in the bracket by 1/4
Thus, we have the following;
x^2(1/4) • y^4(1/4) • z^5(1/4)
= x^1/2•y•z^5/4
where • simply refers to multiplication between the terms
A candybar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters.
Part A; what is the height of the base. show your work.
Part B; What is the approximate amount of the cardboard used to make the candybox? Explain how you got your answer.
a giraffe can run 32 miles per hour. what is this speed in feet per second?
Answer:
46.9 ft/sec
Step-by-step explanation:
A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearset tenth.
In which of the following expressions is the coefficient of term "x" 1?
2x^2+x−9
2 x squared plus x minus 9
x^2+2x+7
x squared plus 2 x plus 7
3x^2−x−5
3 x squared minus x minus 5
2x^2−3x+1
Using the coefficient concept, it is found that the expression in which the coefficient of the term x is 1 is:
[tex]2x^2 + x - 9[/tex]
-----------------------------------------
In a polynomial, the terms that multiply the x variables are called coefficients.
For example, take a standard quadratic equation: [tex]ax^2 + bx + c[/tex]
The coefficient of x² is a.The coefficient of x is b.The coefficient of [tex]\mathbf{x^0}[/tex] is c.-----------------------------------------
In this problem, we want an expression in which the term "x" is multiplied by 1, and the desired expression is:
[tex]2x^2 + x - 9[/tex]
A similar problem is given by https://brainly.com/question/15446728
Maya wrote the expression 3 + 5 + 4.5 to represent the total distance that she traveled. Which statement best describes Maya’s expression?
Answer:
A is the answer .Step-by-step explanation:
You can add the numbers in different ways but still get the same answer.
1. 3 + 5 + 4.5 = 12.5
2. 5 + 3 + 4.5 = 12.5
3. 3 + 4.5 + 5 = 12.5
4. 5 + 4.5 + 3 = 12.5
5. 4.5 + 5 + 3 = 12.5
6. 4.5 + 3 + 5 = 12.5
These a couple of different ways you can add the numbers to get the same answer. This shows proof of how the associative property is related and gets you the correct answer no matter how the numbers are positioned.
P.S - You can solve this for different numbers.
Hope this helped,
Kavitha
Point P' (1, 5) is the image of P (-3,1) under a translation. Determine the translation. Use non-negative numbers.
Answer:
T: 4 units right, 4 units up
Step-by-step explanation:
From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.
From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.
T: 4 units right, 4 units up
The translation vector is (4, 4).
Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]P'(x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.If we know that [tex]P(x,y) = (-3, 1)[/tex] and [tex]P'(x,y) = (1,5)[/tex], then the translation vector is:
[tex]T(x,y) = P'(x,y) - P(x,y)[/tex]
[tex]T(x,y) = (1,5) - (-3, 1)[/tex]
[tex]T(x,y) = (4,4)[/tex]
The translation vector is (4, 4).
We kindly invite to check this question on translations: https://brainly.com/question/17485121
The volume of a sphere whose diameter is 18 centimeters is
π cubic centimeters. If its diameter were reduced by half, its volume would be
of its original volume.
Answer:
volume before reducing is 8 times the volume after reducing
Step-by-step explanation:
volume before reducing=
V=4/3πr³=
V=4/3π(9)³=972π cm³
diameter reduced to half=18/2=9 cm
radius=d/2=9/2=4.5 cm
volume of sphere when diameter reduced by 1/2=
V=4/3πr³
v=4/3 (π)(4.5)³=121.5π
volume before reducing is 8 times the volume after reducing
Answer:
The volume of a sphere whose diameter is 18 centimeters is 972 π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8 of its original volume.
Step-by-step explanation:
Correct for plato :)
What is the solution to -33 + m = 10?
A. m = -43
B. m = -23
C. m = 23
D. m = 43
Answer:
D. m = 43
Step-by-step explanation:
Answer: D. m=43
Step-by-step explanation:
-33 +m = 10move 33 and make it postive m = 10 + 33m = 43Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.
Answer:
g(x) has the larger slope.
Step-by-step explanation:
f(x) = 4x + 2
- so its slope = 4. ( from general form y = mx + c where m = slope).
The slope of g(x) = (3 - (-2) / (1 - 0)
= 5.
Answer this question, if anyone just posts an answer that is not relevant to this question will be reported.
Answer:
A is the correct answer
Step-by-step explanation:
I have looked at your bar graph.
What about B?
B is wrong because the first bar doesn't reach 5.8 billion
And C & D are wrong for the same reason. I hope this helps you:)
Note:
My answer WAS relevant to your question.
Answer:
tysm have a great day! Go rose!
Step-by-step explanation:
urgent help needed
help me with the question of o.math
That's the solution to that question
42=−7(z−3)
solve for z
plzzz help me thxs a bunch
step by step if can thx
Answer:
z=-3
Step-by-step explanation:
1:open the brackets.
2:take 21 to the other side to be subtracted by 42
3:you get a -z but you can take it to the other side to get a +z but -21 divide to get the answer
42=-7(z-3)
-7(z-3)=42
-7z+21=42
-7z=42-21
-7z=21
therefore,
z=21\-7
that is, -21\7=-3
The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, what was the final temperature?
Answer: If we're talking about the final temperature in 1 hour, then the final temperature would be -5 degrees. 10-15= -5.
Using the subtraction approach, the projected end temperature will be -5.
What is Algebra?Algebra is the study of graphic formulas, while logic is the application of those symbols.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
In an hour, the temperature plummeted by 15 degrees. assuming that the initial temperature was 10 °.
Then the final temperature is given by subtracting the numbers 10 and 15.
Using the subtraction approach, the projected end temperature will be -5.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Which graph solves the following system? x+2y=4 5x−2y=8
Answer:
elimination method
x+2y=4 1
5x-2y=8 2
1+2
6x=12
x=2
plug into x+2y=4
2+2y=4
2y=4-2
2y=2
y=1
(2,1)
so graph 1
when symplified 9a-6b+a-b
Answer:
10a -7b
Step-by-step explanation:
9a-6b+a-b
Combine like terms
9a+a -6b-b
10a -7b
Answer:
10a-7b
Step-by-step explanation:
[tex]9a - 6b + a - b \\ 9a + a - 6b - b \\ 10a - 7b[/tex]
Help!!!! Which number line shows the solution to 6 + (−6)?
Answer: Hi!
The solution to positive 6 and -6 is 0. A negative and a positive of the same absolute value cancel out.
Hope this helps!
Answer:
the answer is zero !
Step-by-step explanation:
when a negative and a positive of the same number go against each other they cancel out
Special right triangles
what should we do??? the question isn't there!
Sabrina is 4, and her brother Sam is 9 years older than she is. In how many years will Sam be twice as old as Sabrina?
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
Answer:
A) (-3, 3) B) (-1, 1) C) (-2, 3)
Step-by-step explanation:
HELP! Select the reason why these triangles are
similar. If they are not, select "Not similar."
10
800
22
15
800
33
B. SAS
A. AA
D. Not similar
C. SSS
Answer:
SAS
Step-by-step explanation:
The Acme Company lost 650 hours due to accidents on the job in the first quarter of the year. The average hourly wage of the employees who contributed to the lost hours was $15.00. The company benefits add 25% to the wages. Using the cost-of-lost-hours formula (employee hours lost X average loaded labour rate = cost), calculate the direct cost of the lost work hours. Discuss the approach you would use to estimate the hidden costs that would also be associated with the lost hours.
Your answer must be at least 200 words in length.
Answer:
Step-by-step explanation:
Given that ;
The Acme Company lost 650 hours due to accidents on the job in the first quarter of the year
The average hourly wage of the employees who contributed to the lost hours was $15.00 . i.e the direct labor cost = $15.00
The company benefits add 25% to the wages. = 0.25
The loaded labor cost = $15.00/hr × 0.25 = $3.75/hour
If we add the additional cost of benefit, then we have the loaded labor cost to be = $15.00/hour + $3.75/hour
= $18.75 / hour
However, the direct labor costs that the workers continued to receive without working. for the first quarter of the year by using the cost-of-lost-hours formula is :
= 650 hours × $15.00 / hours
= $9750
The hidden costs can be estimated from the Acme company's contributions to the employee. Given that the company benefits add 25% to the wage of the employee, therefore, this wage must be incorporated in order to find out the total wage cost for the lost work hours in the Acme company.
As a result of the company benefits, the fully loaded labor cost is 650 hours × $18.75 /hour which gives $12187.5.
Consequently, it is pertinent to determine the cost for additional benefits that the workers are receiving even though they are not working, this is achieved by the difference in the $9750 direct cost paid to labor and the benefits amount of $12187.5
i.e
the cost for additional benefits that the workers are receiving even though they are not working = $12187.5 - $9750 = $2437.5
Other ways the hidden cost can be estimated is by take note of the amount paid to the employee on the day the employee had an emergency, amount paid to the rescue team involved. etc
х
x
320
X=
degrees.
SJSJSJSJS Ja
Answer:
122
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior agnles
32+90 =x
122 =x
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]
[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]
What axis does the independent quantity go on?
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
1)A cylindrical container has a diameter has diameter of 14cm and height of 20cm and is full of water. A student pours the water into another cylinder of diameter 20cm. How deep is the water in the second cylinder?
2)A cylindrical water tank is70cm in diameter. To begin with, it is full of water. A leak starts at the bottom so that it loses 10l of water every hour. How long will it take for the water level to fall by 20cm?
3) A cylindrical storage vessel is 4m in diameter and 31/2m deep. How many kilolitres will it hold?
Answer:
Hey there!
1) To solve this, we want to know the volume of the first cylinder, which using the cylinder volume formula, we find is roughly 3079 cm^3. If the water is poured into the second cylinder, we find that the height is about 9.8 cm.
2) First, we should know that 1000 cm^3=1 liter. Volume of 1 cm tank height: 3848 cm^3, or 3.848 l. Volume for 20 cm tank height= 76.96 l. It takes about 7.7 hrs for the water level to fall 20 cm.
3) Cylinder volume formula gives us the answer to be 176 m^3 as the volume.
Hope this helps :)
Nijah has 45 stickers.
She gives 2/5 to her sister.
She gives 1/3 of her remaining stickers to Brett.
How many stickers does Nijah have left?
Answer:
Nijah has 6 stickers left.
Step-by-step explanation:
Starting stickers:
45
2/5 are given away:
[tex]\frac{2}{5}[/tex] * 45
[tex]\frac{2}{5}[/tex] * [tex]\frac{45}{1}[/tex]
[tex]\frac{90}{5}[/tex]
18
1/3 of the remaining are given away:
[tex]\frac{1}{3}[/tex] * 18
[tex]\frac{1}{3}[/tex] * [tex]\frac{18}{1}[/tex]
[tex]\frac{18}{3}[/tex]
6
Nijah has 6 stickers left.
Answer:
18
Step-by-step explanation:
Find the part she gave to her sister
45 *2/5 = 18
The part remaining is
45 - 18 = 27
She gives 1/3 to Brett
27 * 1/3 = 9
She has 27 - 9 = 18
She has 18 remaining
deandre downloaded 8 apps onto his tablet in 12 secs at this rate how many apps could he download in one minute
Because 1 minute is 60 seconds, and it takes 12 seconds to download 8 apps, the first thing we need to do is find out how many "sets" of 12 seconds can go in 60 seconds:
60 / 12 = 5
Now, all we have to do is multiply the number of apps by 5, and we get our answer:
8 · 5 = 40
So, it would take Deandre 1 minute to download 40 apps.
-2(8 - 1)= find the product
Answer:
-14
Step-by-step explanation:
First, solve what is in the parentheses:
8-1=7
Now you have -2(7)
-2(7)=
-14
The product is -14!
Answer:
-14
Step-by-step explanation:
-2(8-1)
= -2*8 -2*-1
= -16 + 2
= -14
another solutión is:
-2(8-1)
= -2*7
= -14
-5(-x - 1) + 4x – 1= 49
solve for x
Answer:
x=5
Step-by-step explanation:
-5(-x - 1) + 4x – 1= 49
Distribute
5x +5 +4x -1 = 49
Combine like terms
9x +4 = 49
Subtract 4 from each side
9x+4-4 = 49-4
9x = 45
Divide by 9
9x/9 =45/9
x = 5
Answer:
[tex]\huge \boxed{x=5}[/tex]
Step-by-step explanation:
[tex]{\Large -5(-x - 1) + 4x -1= 49}[/tex]
Expand brackets.
[tex]5x+5+ 4x -1= 49[/tex]
Combine like terms.
[tex]9x+4=49[/tex]
Subtract 4 from both sides.
[tex]9x+4-4=49-4[/tex]
[tex]9x=45[/tex]
Divide both sides by 9.
[tex]\displaystyle \frac{9x}{9} =\frac{45}{9}[/tex]
[tex]x=5[/tex]