Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
I need helpppp, I need to turn this in before class is over
Answer:
.
Step-by-step explanation:
Answer:
she spends 50% of her budget on her car
Step-by-step explanation:
300 is half of 600. I hope this helps :)
Can somebody help me. Will mark brainliest.
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
A car rental company charges $26 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $18 per
day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
O A 24 miles
OB. 32 miles
C. 42 miles
o D. 44 miles
Maggie saves money in a jar over a period of 5 weeks, as shown in the table.
A. S = 1.50w + 2.50
B. S = 2.50w + 1.50
C. S = w - 0.50
D. S = w +2.50
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
plz help me with this
Answer:
its green so you got it right
and if thats not the case you are correct
Step-by-step explanation:
how to solve proportions
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."What is the greatest common divisor between 621 and 1035.
Answer:
207
Step-by-step explanation:
NEED HELP FAST PLEASEEE!!
Answer:
y=2x+0
Slope:
2
y-intercept:
( 0, 0 )
Step-by-step explanation:
Slope intercept form: y=mx+b
Use the slope formula and the slope-intercept form to find the slope m and y-intercept b .
7(n - m) for m = 4 and n = 15
Answer:
63
Step-by-step explanation:
7(15-4)
7(9)
63
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
PLEASE HELP ASAP!!
The graph represents which system of inequalities?
A.) y<=-2x+3
y<=x+3
B.) y>=-2x+3
y>=x+3
C.) y<=-3x+2
y<=-x+2
D.)y>-2x+3
y>x+3
Answer:
Its the yellow area
Step-by-step explanation:
Plz need help thank u sm
Answer:
x = 5
Step-by-step explanation:
Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.
6x - 5 = 5x (Given)
-5 = -x (Subtract 6x on both sides)
5 = x (Divide -1 on both sides)
Therefore, x = 5.
Answer:
x = 5
Step-by-step explanation:
Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.
Therefore, triangle GJH is an equilateral triangle.
Measures of all sides of an equilateral triangle are equal.
So,
6x - 5 = 5x
6x - 5x = 5
x = 5
what is the value of x? -6x=90
Please show you got the answer
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me
Answer:
1683 / 383 = 4.39 or approx 4.4
Answer:
4.39425587467 or 4 remainder 151.
Step-by-step explanation:
Long division.
Solve: a + 4 = 48
a = 43
a = 51
a = 44
a = 52
Answer:
a = 44 is correct
Step-by-step explanation:
a + 4 = 48
plug in the #'s 1 at a time
43 + 4 = 48
47 = 48 FALSE
51 + 4 = 48
55 = 48 FALSE
44 + 4 = 48 TRUE
52 + 4 = 48 FALSE
Hope this Helps!!!
Answer:
Your answer would be a= 44
Step-by-step explanation:
44+4=48
To check: 48-4=44
Therefore, your answer is 44
solve: logx 64 = 3. Which is an equivalent equation?
By applying the definition of logarithm, you have
\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64
So, if you consider the cubic root of both sides, you have
x = \sqrt[3]{64} = 4x=364=4
Answer:
x
=
4
,
−
2
+
2
i
√
3
,
−
2
−
2
i
√
3
Step-by-step explanation:
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Work out angle BXC.
Give a reason for each angle you work out.
Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
The measure of angle BXC is 70°
What s transversal?"It is a line that passes through two lines in the same plane at two different points."
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What are isosceles triangle?"It is a triangle having any two sides equal in length."
For given example,
We can observe that XY and BD are parallel lines and AB is the transversal.
Here,
∠AXY = ∠XBC ..............(Corresponding angles)
⇒ ∠XBC = 55°
In figure, for ΔXBC the sides XB and XC are equal.
So, ΔXBC is an isosceles triangle.
We know, for isosceles triangle, angles opposite to equal sides are equal in measure.
⇒ ∠XBC = ∠XCB
⇒ ∠XCB = 55°
We know, the sum of all angles of the triangle is 180°.
⇒ ∠XBC + ∠XCB + ∠BXC = 180°
⇒ 55° + 55° + ∠BXC = 180°
⇒ 110° + ∠BXC = 180°
⇒ ∠BXC = 70°
Therefore, the measure of angle BXC is 70°
Learn more about the angles formed by parallel line and transversal here:
https://brainly.com/question/15464186
#SPJ2
Matthew drives at an average speed of 62 mph for 5 hours
B) how many miles does Matthew drive
Answer:
310
Step-by-step explanation:
62 multiplied by 5 will get you the answer
Use the right triangle shown to answer the question.
26
32°
*not drawn to scale
What is the approximate value of x?
Answer:45
Step-by-step explanation:
Answer:13.8
Also Stop cheating
anyone know how to do this help
Answer:
Height if the tree: 13.8 meters
Answer:
Height of the tree: 13.8 meters
The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
help pls1ssssssssssssssssssssss
Answer:
108 bottles
Step-by-step explanation:
[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]
Answer:
108 bottles
Step-by-step explanation:
[tex]\frac{4.536}{0.042}[/tex]=108
10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?
the second one is correct
I need this by tomorrow! please help me, I'm desperate. I dont understand it well.
Please help, this is called Writing Equations
Answer:
I think its the 2nd one im not sure tho
Step-by-step explanation:
Answer:
first one is 14.
second one is 131-11=6B
Step-by-step explanation:
1) 252/18=14
2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books
hope that helps :)
(4) B is the midpoint of AC, D is the midpoint of CE, find BD.
Answer:
A :10.5 is the answer
Step-by-step explanation:
Find the value of x in rectangle BCDE.
Find Value of x.
Answer:
34
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
2x=x+34
-x -x
x=34
TADA! :D
