The cost price of the cycle is Rs.3240
Represent the cost price of the cycle with x and the selling price with y
A gain of 5% when the marked price is at a discount of 10% implies that:
[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]
Express 10% as decimal
[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]
[tex]5\%=\frac{0.90y-x}{x}[/tex]
Express 5% as decimal
[tex]0.05=\frac{0.90y-x}{x}[/tex]
Cross multiply
[tex]0.05x=0.90y-x[/tex]
Collect like terms
[tex]x + 0.05x=0.90y\\[/tex]
This gives
[tex]1.05x=0.90y[/tex]
Make y the subject of the formula
[tex]y = \frac{1.05x}{0.90}[/tex]
Also, when the discount is 5% and the profit is 351, we have:
[tex]351=(1 - 5\%)y -x[/tex]
Express 5% as decimal
[tex]351=(1 - 0.05)y -x[/tex]
This gives
[tex]351=0.95y -x[/tex]
Make y the subject
[tex]0.95y = 351 + x[/tex]
Substitute [tex]y = \frac{1.05x}{0.90}[/tex]
[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]
[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]
Subtract x from both sides
[tex]\frac{0.9975x}{0.90} -x= 351[/tex]
Take LCM
[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]
[tex]\frac{0.0975x}{0.90}= 351[/tex]
Multiply both sides by 0.90
[tex]0.0975x= 315.9[/tex]
Divide both sides by 0.0975
[tex]x= 3240[/tex]
Hence, the cost price of the cycle is Rs.3240
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https://brainly.com/question/13651341
find the volume of the cylinder.
either enter an exact answer in terms of pi or the use of 3.14
radius 3
height 6
Answer:
Volume, [tex]V=169.56\ \text{units}^3[/tex]
Step-by-step explanation:
We have,
Radius of cylinder is 3 units
Height of the cylinder is 6 units
It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :
[tex]V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3[/tex]
So, the volume of the cylinder is [tex]169.56\ \text{units}^3[/tex].
One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:.03x=6
Step-by-step explanation x=200 minutes
Answer:
200 minutes
Step-by-step explanation:
To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:
[tex]16.95+0.05x=22.95+0.02x[/tex]
We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.
Solve for x. Subtract 16.95 from both sides and simplify:
[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]
Subtract 0.02x from both sides:
[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]
Divide both sides by 0.03:
[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]
At 200 minutes, the cost for both plans would be the same.
Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?
Answer: 72
Step-by-step explanation:
Ok, in her legs the options are:
2 jeans + 3 black pants + 1 skirt = 6 options.
on her torso the options are:
2 pinks shirts + 4 striped shirts = 6 options.
And on top of that she has:
2 hooded sweatshirts = 2 options.
The total number of combinations is equal to the product of options for each type of garmet; this is:
C = 6*6*2 =36*2 = 72
So she has 72 different outfits.
Answer:
It is 70 becouse of how many clothing ther is and u just mulytly
it tell me if im right or wrong
thanks stay safe
byebye
Step-by-step explanation:
70 % of 90 please give all right answers this is the last question of this assignment and i dont want to fail
PLS HELP WITH THIS QUESTION, ASAP!!
BRAINLIEST AND POINTS
It is 3.15 x 10^-7. You find what 1.05 x 10^-10 is in scientific notation (0.00000000105), times that by 3000, and you end up with 0.000000315 (3.15 x 10^-7 is the answer) :)
Does anybody know how to solve this? (Click for full picture if it doesn’t show up)
Step-by-step explanation:
angle A = 38
now come with me inside the triangle ABC
use two property of isoceles traingle and sum of angles of triangle
you get x= 71°
Answer:
x = 71°
Step-by-step explanation:
Notice that angle D is the inscribed angle of arc BC. By definition of inscribed angles, the measure of an arc's inscribed angle is half the measure of the arc. Also we see that angle A is the central angle of arc BC. By definition, the central angle measure is equal to the arc measure.
Here, ∠D = 19, which means arc BC = 19 * 2 = 38°. Then, that means ∠A = 38.
Notice that ABC forms a triangle and remember that all the angles of a triangle add up to 180°. Since ΔABC is isosceles, we know that the base angles are congruent, so let's say they're both x. Since ∠A = 38°, ∠B = ∠C = x, we can add them up to get 180:
∠A + ∠B + ∠C = 180
38 + x + x = 180
38 + 2x = 180
2x = 142
x = 142/2 = 71
Thus, x = 71°.
out of 17,21,14,17,12,15,16 what is the mean?
Answer:
mean is 16
Step-by-step explanation:
to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.
17+21+14+17+12+15+16 = 112
then u see how many number there are and there are 7
112/7= 16
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (1, 1)
Answer:
The slope of the graph is equal to 4
Step-by-step explanation:
When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4
Answer:
The slope is 4
Step-by-step explanation:
Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)
pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?
Complete Question
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
Let the original price of the bracelet before tax =x
Tax rate =6%
That means:
6% of x =$0.72
0.06x=0.72
Divide both sides by 0.06
x=$12
The original price of the bracelet, before tax is $12.
The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and height. (Draw a diagram.)
Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
The function f(x) and g(x) are graphed below. If g(x)=f(x+k) what is the value of k?
Answer:
The value of k = -6
Step-by-step explanation:
First lets concentrate at the most obvious point, the top. Top(f) = ( 4, 1) and Top(g) = ( -2, 1).
The translation factor k ( which is called a vector ), which accounts for the trandlation of any point of f(x) --> g(x).
To translate the x coordinate of the top from 4 to -2, you have to subtract 6 of it.
Because 4 -6 = -2
Hence the factor k must be -6.
The value of k = -6
Does the following equation represent growth or decay y=4^x
Answer:
The equation represents exponential growth
Step-by-step explanation:
Since the equation is a positive exponential equation
Your basketball team plays 5 games, your team scores 10 points in the first game, 3 points im the second game, 2 points in the third game. 5 points in the fourth game, and 0 points in the fifth game. what was the mean number of points your team scores for all 5 games
When you’re gathering the points you’re finding the mean, so what is the mean number ?
3 points , 4 points 5 points, or 10 points?
How to convert a decimal to a fraction
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
hope it helps
1.The two angles 21 degrees and (2x+29)degrees are SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
And 2.The two angles (x-36)degrees and 73 degrees SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
PLZZ ANSWER RIGHT AWAY. I'M GIVING 15 POINTS PLZZ HURRY.
Answer:
See below in bold.
Step-by-step explanation:
1. 21 + 2x + 29 = 180 (as supplementary angles sum to 180 degrees).
2x + 50 = 180
2x = 130
x = 65 degrees.
2. x - 36 + 73 = 180
x = 180 + 36 - 73
x = 143 degrees.
laura goes shopping she spends one fourth of her money on a pair of shorts and one third of her remaining money on a belt if laura has $42 dollars left after these two purchases how much money did she have when she started shopping?
Answer:
84 dollars
Step-by-step explanation:
use x to represent the amount of money Laura had when she started shopping.
use y to represent the amount of money she had left after buying a pair of shorts.
You can create these two equations:
3/4x=y
2/3x=42
now, subsitute the value of y into the second equation.
2/3(3/4x)=42
1/2x=42
x=84
Find the equation of the parabola with vertex at the origin, focus at (3m, 0) and directrix with equation x=–3m.
Answer:
The equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Step-by-step explanation:
The equation of the parabola is:
[tex]x = 4\cdot p \cdot y^{2}[/tex]
Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,
[tex]p = 3\cdot m[/tex]
Lastly, the equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Answer: x = (1/12m)(y^2)
Step-by-step explanation:
Focus at (3m, 0)
Directrix equation, x = -3m
Distance from focus = distance from directrix
√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2
(x - 3m)^2 + y^2 = (x + 3m)^2
y^2 = (x + 3m)^2 - (x - 3m)^2
y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2
Collecting like terms and simplifying
y^2 = 6mx + 6mx
y^2 = 12mx
x = (1/12m)(y^2)
1. Use Euler’s formula to find the number of vertices in a polyhedron with 18 edges and 9 faces
use formula: F+V = E+2
please help!
Answer: 11 vertices
Step-by-step explanation:
Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:
F+V = E+2
Where:
F = number of faces
V = number of vertices
E= number of edges
Replacing with the values given:
9+V = 18+2
Solving for V:
V =18+2-9
V = 11
Feel free to ask for more if needed or if you did not understand something.
Help does any one know how to type out the variable that looks like a cursive E??
Answer:
why don't you copy and paste it
Hich statement about a quadrilateral is true? A rectangle is a trapezoid. All rhombuses have four right angles. A trapezoid is a rhombus. A square is a rhombus.
Answer:
A square is a rhombus.
Step-by-step explanation:
A square is a geometrical figure which has four sides that are congruent. A rhombus is also a geometrical figure in which the four sides are congruent. Hence, it is true that a square is a rhombus. The difference between the two is that all the angles of a square are a right angle, while in rhombus the opposite angles are congruent.
Siobhan has two babysitting job offers for the same weekend.The snachez family would like her to babysit from Friday at 6:00 pm through Saturday at 9:30 am.They will pay her $150.The martins would like her to babysit friday night from 5:00 pm to 11:00 pm and will pay her $15 per hour.Wich family is offering to pay her more per hour?Wich is offering to pay her more overall?
Answer:
The Martin family pays $5.33 more per hour
The Sanchez family pays $60 more in total
Step-by-step explanation:
The Sanchez family want her to babysit for 15.5 hours for a total of $150.
To find out the hourly rate you do $150/15.5 which is $9.67 per hour.
The Martin family wants her to babysit for a total of 6 hours for $15 an hour.
To find out the total you do $15 x 6 which is $90.
Help me with my assignment if u are brilliant
Answer:
0° and 90°
Step-by-step explanation:
Bearing is simply the angle, clockwise, between the north direction and any other direction;
In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;
In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.
Please help!!!! AWARDING BRAINLIEST!!
There is a 20% chance of rain on Tuesday and a 30% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answer:
There is a 40% chance that it will rain Tuesday and Friday.
Step-by-step explanation:
This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%
Answer:
60 percent chance
Step-by-step explanation:
First you multiply the two together. Then move the decimal to get a percent! HOpe this helps
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
plzWegnerkolmp2741ohelpmethakyou
Answer:
z=2
Step-by-step explanation:
z^2 - 4z+4 =0
Factor recognizing
a^2 - 2ab - b^2 = (a-b)^2
(z-2)^2 =0
Using the zero product property
z-2 = 0
z=2
Which has a positive value in Quadrant IV?
Translate the expression with rational exponents into a radical expression. Simplify if necessary.
Answer:
(∛125)^5
= 3125.
Step-by-step explanation:
125 ^ (5/3)
= (cube root of 125) to the 5th power
= (∛125)^5
= 5^5
=
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answer:
idk i have the same question
Step-by-step explanation:
A soccer field is a rectangle 40 yards long and 30 yard wide. The coach asks the players to run from one corner to the other corner diagonally across. What is the distance?
Answer:
50 yards
Step-by-step explanation:pythogourus theorem apply here
a²+b²=c²
40²+30²=c²
c²=2500
c=√2500
c=50 yards
hope this helps
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