Full question :
A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?
Answer:
4% loss(percentage loss on cost price)
Step-by-step explanation:
we will be employing algebra in solving this problem :
20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange
Say x oranges bought at 3Rs per orange=3Rsx
Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange
Say x oranges bought at 3Rs per orange=2Rsx
Total Cost Price = 3Rsx + 2Rsx = 5Rsx
He then sells all oranges at 25 for 60 Rs
Therefore price per orange=60/25=12/5Rs
since he sold x+x oranges(from the above calculations)
Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs
Profit or loss=24x/5-5x=-x/5
therefore we have a loss =-x/5
Percentage of loss(on cost price)
=x/5÷5x∗100=
=1/25∗100=4%
What are the domain and range of the function f(x)= X-7+9?
Answer:
[tex]f(x)=x-7+9 \implies f(x)=x+2[/tex]
The domain is all Real number and the range is all Real numbers, as well.
[tex]\text{Domain: }(-\infty, \infty)[/tex]
[tex]\text{Range: }(-\infty, \infty)[/tex]
Answer:
7
Step-by-step explanation:
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YOO PLZ HELP ASAP!!! MARKING BRAINIEST!!! Use the Internet to find the actual area of Ohio. Then find the actual population density of Ohio. How does this compare with your estimate? Why was your initial estimate greater or less than the actual population density?
Answer:
The actual area is 44,825 mi², and the actual population density of Ohio is 282.3 people per square mile. I can't answer the estimate part because I don't know what your estimate was. But you can say my estimate was greater than the actual number or less than the actual number. And you can say your estimate was greater/less than the actual population density because I didn't know so many people were in each square mile because a square mile isn't that large.
Step-by-step explanation:
Can't really explain this type of question. :v
name a pair of corresponding angles
name a pair of alternate interior angles
name a pair of alternate exterior angles
name a pair of same-side interior angles
They are on the same side of the transversal cut (both to the left of the transversal) and they are both above the two black lines. It might help to make those two black lines to be parallel, though this is optional.
Other pairs of corresponding angles could be:
angle 2 and angle 6angle 3 and angle 7angle 4 and angle 8=======================================================
Alternate interior angles = angle 3 and angle 5They are between the black lines, so they are interior angles. They are on alternate sides of the blue transversal, making them alternate interior angles.
The other pair of alternate interior angles is angle 4 and angle 6.
=======================================================
Alternate exterior angles = angle 1 and angle 7Similar to alternate interior angles, but now we're outside the black lines. The other pair of alternate exterior angles is angle 2 and angle 8
=======================================================
Same-side interior angles = angle 3 and angle 6The other pair of same-side interior angles is angle 4 and angle 5. They are interior angles, and they are on the same side of the transversal.
Please help ASAP!!!!
Answer:
8
Step-by-step explanation:
1/4πr² + (2x4) - 1/4πr²
r = 4
8
Find the measure of Angle R if a = 9 square root 2 and b = 18 square root 2.
Please help!!
Answer: ∠TRa = 30°, ∠aRA = 90°, ∠TRA = 120°
Step-by-step explanation:
I'm not sure if you need the angle of the left triangle only (= 30°)
or if you need the the triangle plus the rectangle (= 120°)
Left Triangle (∠TRa)
The hypotenuse is twice the base so it is a 30° - 60° - 90° triangle
where the base corresponds to the 30° angle.
Rectangle (∠aRA)
A rectangle has four right angles --> four 90° angles.
Angle Sum Theorem
∠TRA = ∠TRa + ∠aRA
= 30° + 90°
= 120°
Given the formula: d=m/V , which answer choice correctly rearranges the variables to solve for V?
Answer:
V = m/dStep-by-step explanation:
[tex]d = \frac{m}{V} \\Cross\:Multiply\\\\dV = m\\\\Divide\:both \:sides \:of\:the\:equation\:by\:d\\\\\frac{dV}{d} = \frac{m}{d} \\\\\\V = \frac{m}{d}[/tex]
What description below represents the pattern?
Step-by-step explanation:
In my opinion this pattern is adding 2 boxes each time
Solve for b.
-b - 19 = -3b – 9
Answer:
b=5
Step-by-step explanation:
-b - 19 = -3b – 9
Add 3b to each side
-b+3b - 19 = -3b+3b – 9
2b -19 = -9
Add 19 to each side
2b-19+19 = -9+19
2b = 10
Divide by 2
2b/2 =10/2
b=5
i will give brainliest for anyone that can correctly answer my question, its in a photo
Answer:
x = 122
Step-by-step explanation:
Step 1: State what is known
In the picture we can see they marked ∠ABC with a box meaning it is a 90° angle, given that information we can now solve
Step 2: Solve
∠ABC = x - 32
90 = x - 32
90 + 32 = x
122 = x
Therefore 'x' is equal to 122
Four sisters take turns using the computer an equal amount of time each night. They are allowed to use the computer from 4 p.m. to 10 p.m. Each sister can use the computer for at most minutes each night. In terms of the greatest number of hours and the minutes remaining, each sister can use the computer for at most hour(s) and minute(s) each night. Please hurry!!!!
Answer:
1.5 hours
Step-by-step explanation:
there are 6 hours in between the times of 4 and 10
so 4 sister split up 6 hours equally
to do this, we divide 6 and 4
6/4 = 1.5 hours
each sister can spend 1.5 hours on the computer
Answer:
1 hour and 30 minutes
Step-by-step explanation:
If four sisters get 1 hour each, 2 hours are left.
4 half hours make 2 hours.
Find the value of m. A. 32 B. 63 C. 50 D. 74
Answer:
A
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
the triangle formed by the 2 tangents is isosceles with base angles of 74°
m = 180° - (74 + 74)° = 180° - 148° = 32° ( sum of angles in Δ )
The value of the measured angle of m is 32°.
What is a Tangent of Circle?A tangent of a circle is defined as a single point where a single straight line touches or intersects the circle. A line that never touches the inside of the circle is called a tangent.
The line connecting the outer point will cut the angle between the tangents in bisect and the center are equal to each other.
According to the given figure as
A circle with center O,
Since there are two tangents to the circle drawn from an external point.
therefore the lengths of tangents drawn from an external point to a circle are equal.
So, the triangle formed by the 2 tangents is isosceles with base angles of 74°
We know that sum of angles in the triangle is 180 degrees
So ∠ m = 180° - (74 + 74)°
⇒ ∠ m = 180° - 148°
⇒ ∠ m = 32°
Hence, the value of the measured angle of m is 32°.
Learn more about tangent of a circle here:
https://brainly.com/question/23265136
#SPJ5
What type of numbers can be written as a fraction. This includes repeating and terminating decimals * Natural Numbers O Whole Numbers O Integer Numbers O Rational Number
Answer: the answer is rational because there is a finite(limited) number of numbers when written as a decimal .
(3x2y2)3
What is the answer
Answer:
27x^6y^6
Step-by-step explanation:
We assume you want to simplify ...
[tex](3x^2y^2)^3=3^3x^{2\cdot3}y^{2\cdot3}=\boxed{27x^6y^6}[/tex]
__
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
Solve the equation
(If possible please show work)
Answer:
N= -3
Step-by-step explanation:
Answer:
-3=n or n=-3
Step-by-step explanation:
7+2+4n+3=n+3
9+4n+3=n+3
12+4n=n+3
-3 -3
9+4n=n
-4n -4n
9=-3n
______
-3 -3
-3=n or n=-3
Does anybody know what -3/4 = -1/8x is? And can you please show work. Thank uuu.
Answer:
x = 6
Step-by-step explanation:
3 1
- ---- = - ---- x
4 8
3 1
- ---- = - ---- x
4 2³
3 x
- ---- = - ----
4 2³
x = 6
1 point
Two benefits of having a checking account are safety and convenience.
Which of the following statements is FALSE?
a. If you have a checking account, you won't need to carry as much cash with you
b. With a checking account, you have several options for how to pay bills
c. You can cash checks for free when you cash your paycheck at your bank
d. In order to shop online, you must use a debit card
the answer is A right
4x + 9x + 3 = WILL GIVE BRAINLY, PLUS 20 POINTS.
Answer:
13x + 3
Step-by-step explanation:
Since there is no value on the left, you just have to simplify this. You always add similar variables together, and the constant is a different value, so 4x + 9x would result in 13x. 13x + 3 would be the correct simplified answer.
Answer:
13x+3
Step-by-step explanation:
4x+9x+3
You do not add 13x to 3 because 3 does not have an x
Jason ran 4 miles in 2 minutes. Find his unit rate
4 minutes per mile
4 miles per minute
1 miles per 4
minutes
2 miles per minute
2 miles per minute. Dang, that's one fast guy.
Fraiser drew a model of his hometown on the coordinate plane below. Each unit of the coordinate plane represents 1 mile. A grocery store is located at (6, 4) and a school is located at (6, 8). What is the distance between the grocery store and the school?
Answer:
The distance between the grocery store and the school is 4 miles.
Step-by-step explanation:
Given that each point is represented in rectangular form. The staight-line distance ([tex]d[/tex]) between two points on a plane is given by the Pythagorean Theorem:
[tex]d =SF\cdot \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex]
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Horizontal locations of points A and B, dimensionless.
[tex]y_{A}[/tex], [tex]y_{B}[/tex] - Vertical locations of points A and B, dimensionless.
[tex]SF[/tex] - Scale factor, measured in miles.
If [tex]SF = 1\,mi[/tex], [tex]A = (6, 4)[/tex] and [tex]B = (6,8)[/tex], the straight line distance is:
[tex]d = (1\,mi)\cdot \sqrt{(6-6)^{2}+(8-4)^{2}}[/tex]
[tex]d = 4\,mi[/tex]
The distance between the grocery store and the school is 4 miles.
Use trig ratios to find the measure of the angle in this Triangle (Image)
Answer:
θ = 36.9°
Step-by-step explanation:
Trigonometric ratios in a right triangle will be,
Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{\text{AC}}{\text{AB}}[/tex]
Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{\text{BC}}{\text{AB}}[/tex]
Tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex] = [tex]\frac{\text{AC}}{\text{BC}}[/tex]
In the picture attached,
Given sides are,
AB = 5 and BC = 4
Therefore, to find the given angle θ only Cosine will be applicable.
Cos θ = [tex]\frac{\text{BC}}{\text{AB}}[/tex]
= [tex]\frac{4}{5}[/tex]
θ = [tex]Cos^{-1}(0.8)[/tex]
θ = 36.87°
θ ≈ 36.9°
does someone know this ??!
Answer:
y = -4x + 3
Step-by-step explanation:
(0, 3) & (1, -1)
slope: (y² - y¹) / (x² - x¹)
(-1 - 3) / (1 - 0) = -4 / 1 = -4
y = -4x + b
plug in to find y-intercept (b)
3 = -4(0) + b
3 = 0 + b
b = 3
y = -4x + 3
Answer:
wait yooooo
Step-by-step explanation:
i just did that plz log into this u go to AOA also brooo we can help each other!!!!
In the triangle below x=? Round to the nearest tenth
Work Shown:
sin(angle) = opposite/hypotenuse
sin(35) = x/15
15*sin(35) = x
x = 15*sin(35)
x = 8.60364654526569
x = 8.6
Make sure your calculator is in degree mode
Solve for x:
5/8 - 1/3 = x/24
Algebra 2
Answer:
x= 7
Step-by-step explanation:
5/8 - 1/3 = x/24
Get a common denominator or 24
5/8 *3/3 = 15/24
1/3 *8/8 = 8/24
15/24 - 8/24 = x/24
7/24 = x/24
Multiply by 24
7 =x
Write a function g whose graph represents a reflection in the x-axis of the graph of f(x)=1/2x-3
Answer: g(x) = -(1/2)*x + 3.
Step-by-step explanation:
First, let's define a reflection over the x-axis.
If we have a point (x, y) and we reflect it over the x-axis, our new point will be (x, -y).
Now, when we have a function
f(x) = y, the points can be written as:
(x, y = f(x) ) = (x, f(x))
Then, after the reflection over the x-axis, we have:
(x, y = g(x)) = (x, -f(x))
So now we have g(x) = -f(x)
and we know that f(x) = (1/2)*x - 3
then our new function is g(x) = y = -f(x) = -( (1/2)*x - 3) = -(1/2)*x + 3.
g(x) = -(1/2)*x + 3.
How many ways can you distribute 4 different balls among 4 different boxes?
If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least possible result?
Answer:
The least possible result is -10.
Step-by-step explanation:
Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.
First of all,
Let A = 4, B = 5 and C = 6
[tex]A(B-C) = 4 \times (5-6) = 4 \times -1 = -4[/tex]
Let A = 4, B = 6 and C = 5
[tex]A(B-C) = 4 \times (6-5) = 4 \times 1 = 4[/tex]
Let A = 5, B =4 and C = 6
[tex]A(B-C) = 5 \times (4-6) = 5 \times -2 = -10[/tex]
Let A = 5, B = 6 and C = 4
[tex]A(B-C) = 4 \times (6-4) = 4 \times 2 = 8[/tex]
Let A = 6, B = 4 and C = 5
[tex]A(B-C) = 6 \times (4-5) = 6 \times -1 = -6[/tex]
Let A = 6, B = 5 and C = 4
[tex]A(B-C) = 6 \times (6-5) = 6 \times 1 = 6[/tex]
Summarizing the above values in the form of a table:
[tex]\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\ 4 & 6 & 5 & 4\\ 5 & 4 & 6 & -10\\ 5 & 6 & 4 & 10\\ 6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}[/tex]
So, the least possible result is -10.
Answer:
-10
Step-by-step explanation:
you want to multiply by the smallest number, so the parantheses should be (smallest number-largest number)
(4-6)5=-2*5=-10
could I have some help with this?
Answer:
1.1783
Step-by-step explanation:
The attached picture shows a cross section of the cylindrical shell that it is convenient to use as a differential of the volume. The radius from the center of revolution is (1-x), so the circumference of the shell is 2π(1-x). Of course, its height is tan(x), so the differential of volume is ...
dV = 2π(1-x)tan(x)
The indefinite integral does not have a nice closed-form solution, but it can be easily integrated numerically from x = 0 to 1 by most scientific and graphing calculators. The attached shows the volume to be about 1.1783 cubic units.
what expression has a negative value?
7+3(-4)(2)
-2[12/(-3)]
(15-7)-(9/3)
-5[7+(-14)]-30
Answer:
7+3(-4)(2)= -17
Step-by-step explanation:
7+3(-4)(2)
(-4)*2=-8
∴ 7+3(-8)= 7-24
= -17
The diameter of a car wheel is 60 cm, if the car travels at an average speed of 13.2m/s, find the number of revolutions made by the car per hour , hiving the awnser correct to nearest whole number. (take pie to be 3.142 )
The wheel has diameter 60 cm = 0.60 m, and thus circumference π(0.60 m) ≈ 5.923 m.
In one complete revolution, a point on the edge of the wheel covers this distance, so that the wheel has an angular speed of
(13.2 m/s) * (1/5.923 rev/m) ≈ 2.229 rev/s
There are 60 seconds to each minute, and 60 minutes to each hour, so converting to rev/h gives
(2.229 rev/s) * (60 s/min) * (60 min/h) ≈ 8024 rev/h
What was the upper quartile of the class sizes?
Answer:
26
Step-by-step explanation:
The upper quartile is the value at the right side of the box, that is
upper quartile = 26