Answer:
i) Total Profit = ₹ 33,000
ii) Number of White Cement bags company has to sell = 3000
Step-by-step explanation:
Let
Total number of white cement bags = x
Total number of grey cement bags = y
Profit for White Cement = ₹ 9 / bag
Profit for x number of white cement bags = 9x
As "LOSS" can also be written as "- PROFIT"
Profit for Grey Cement = -₹ 5 / bag
Profit for y number of Grey cement bags = -5y
Total Profit = 9x - 5y
(If value of Total Profit is negative, it is a Loss)
Part (i)
x = 7000
y = 6000
Total Profit = 9x - 5y
Total Profit = 9(7000) - 5(6000)
Total Profit = ₹ 33,000
Part (ii)
y = 5400
Total Profit = 0
Total Profit = 9x - 5y
0 = 9x - 5(5400)
9x = 5(5400)
x = 5(54000/9
x = 3000 bags
If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.
Answer:
It depends
Step-by-step explanation:
If you are given a right triangle, you use Pythagorean Theorem: a² + b² = c²
If you are given an angle but its not a right triangle, you can use either Law of Sines: [tex]\frac{A}{sin(a)} = \frac{B}{sin(B)} = \frac{C}{sin(C)}[/tex] or Law of Cosines: [tex]c^2 = a^2 + b^2 -2abcosC[/tex].
Answer:
Sample Response: Create and label a diagram. Then, using the Pythagorean theorem, substitute the values for corresponding variables into the theorem and solve by applying inverse operations.
Step-by-step explanation:
Edge 2021
all of the following are acceptable ways to name the angle shown except?
Step-by-step explanation:
where is figure man
.....
Answer:
The answer is: ∠ R
Given the following number line, what number could be A if XY - ZA?
X
Y Z
-6
A. -5
B. -1
C. 5
D. 6
Answer:
C. 5
Step-by-step explanation:
XY= -1-(-5)= 4
ZA= A-1= 4 ⇒ A=1+4= 5
A=5
Please help...Simplify 10^-8.
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The exponent numerical expression is given below.
⇒ 10⁻⁸
We know that a⁻ⁿ = 1/aⁿ. Then the expression is written as,
⇒ 10⁻⁸
⇒ 1 / 10⁸
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
More about the Algebra link is given below.
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what type of number is the square root of 5
Answer:
Irrational
Step-by-step explanation:
root of 5 = 2.23606797749978969640917366873127623544061835961152572427089…
This number never ends. Another term for it would be a recurring decimal, but it is not exact. Anyway, the square root of 5 is irrational since it is not defined to stop. Even if it was rounded, it would not be exact.
Hope this Helps.
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? 5n – 300 = 1,500 5n + 300 = 1,500 5n – 200 + 100n = 1,500 5n – 100 – 200n = 1,500
Answer:
(a) 5n -300 = 1500
Step-by-step explanation:
Profit is the difference between revenue and cost.
RevenueThe revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.
CostThe cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...
200 +100 = 300
ProfitThe profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...
revenue - cost = profit
5n -300 = 1500
Answer:
5n - 300 = 1,500
Step-by-step explanation:
just got it right on edge
pleaseee help I keep getting undefined
Answer:
Second option "B. 4" is the correct choice.
Step-by-step explanation:
[tex](-8)^{\frac{2}{3}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^{\frac{m}{n}}=\left(-1\right)^{\frac{m}{n}}\left(a\right)^{\frac{m}{n}}\\\\=\left(-1\right)^{\frac{2}{3}}\cdot \:8^{\frac{2}{3}}\\\\=1\cdot \:8^{\frac{2}{3}}\\\\=8^{\frac{2}{3}}\\\\=\left(2^3\right)^{\frac{2}{3}}=2^{3\cdot \frac{2}{3}}=2^2\\\\=4[/tex]
Best Regards!
Answer:
4 (Answer B)
Step-by-step explanation:
Note that we can rewrite the given expression as
{ ∛(-8)}² In words: the square of the cube root of -8
This simplifies to (-2)² which in turn is 4 (Answer B)
ABCD ~ QRST
Find the missing side length, n.
B.
C
8
R
n
S
А
D
T
12.
9
n = [?]
Answer:
n = 6
Step-by-step explanation:
The left side is 8/12 = 2/3 the length of the bottom, so ...
n = (2/3)(9)
n = 6
A fair dice and unbaised coin are tossed once.what is the probability of obtaining 3 and a tail
Answer:
1/4 & 1/2
Step-by-step explanation:
4 sides to the dice
2 sides to coin
Answer:1/12
Step-by-step explanation:
The probability of getting a three on a fair die is 1/6
The probability of getting tails on an unbiased coin is 1/2
Then the probability of getting a three on a fair die and tails on an unbiased coin is 1/6 x1/2=1/12
Solve the inequality 3(x + 2) > 0.
Answer:
x > -2
Step-by-step explanation:
3(x + 2) > 0
Expand the brackets.
3x + 6 > 0.
Subtract 6 on both sides of the inequality.
3x + 6 - 6 > 0 - 6
3x > -6
Divide 3 into both sides of the inequality.
3x/3 > -6/3
x > -2
What is the inverse of the given function?
Answer: -7, -1, 5, -5
Step-by-step explanation:
In order to find the inverse, swap the x's and y's and solve for y.
[tex]y=\dfrac{5x+1}{-x+7}\\\\\\\underline{Swap\ the\ x's\ and\ y's}:\\x=\dfrac{5y+1}{-y+7}\\\\\\\underline{\text{Multiply both sides by -y+1 to clear the denominator}}:\\x(-y+7)=5y+1\\-xy+7x=5y+1\\\\\\\underline{\text{Add xy and subtract 1 from both sides}}:\\7x-1=xy+5y\\\\\\\underline{\text{Factor out the y from the right side}}:\\7x-1=y(x+5)\\\\\\\underline{\text{Divide x+5 from both sides}}:\\\dfrac{7x-1}{x+5}=y[/tex]
Since the boxes you need to fill in show -x in the denominator, multiply the equation by -1/-1:
[tex]y=\dfrac{-1}{-1}\bigg(\dfrac{7x+1}{x+5}\bigg)\\\\\\\large\boxed{f^{-1}(x)=\dfrac{-7x-1}{-x-5}\qquad for\ x \neq -5}[/tex]
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
The answer is a
Step-by-step explanation:
Using point (0,0) and (3,-9)
Slope of the line = -9-0/3-0 = -9/3 = -3
Equation of the line using point (0,0)
y - 0 = -3(x -0)
y= -3x
Hope this helps.
Answer:
y = -3x 2
Step-by-step explanation:
The vertex form of a quadratic function is f(x) = a(x - 1)2 + k. What is the vertex of each function? Match the function
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(6,9)
f(x) = 6(x + 9)2 - 5
(5,6)
f(x) = 9(x - 5)2 + 6
(-9.-5)
f(x) = 6(x - 5)2 - 9
U (-5,-6)
(5.-9)
f(x) = 5(x - 6) +9
Done
Intro
Answer:
f(x) = 9(x + 5)2 - 6 (-5,-6)
f(x) = 6(x + 9)2 - 5 (-9,-5)
f(x) = 9(x - 5)2 + 6 (5,6)
f(x) = 6(x - 5)2 - 9. (5,-9)
f(x) = 5(x - 6) +9. (6,9)
Step-by-step explanation:
To find the vertex: for the x-coordinate, take the "h" in the parentheses (x + h) and reverse its sign. For the y-coordinate, use the "k" term as-is.
The coordinates of the vertex of the equations are:
f(x) = 9(x + 5)^2 - 6; Vertex = (-5,-6)f(x) = 6(x + 9)^2 - 5; Vertex = (-9,-5)f(x) = 9(x - 5)2 + 6; Vertex =(5,6)f(x) = 6(x - 5)^2 - 9; Vertex = (5,-9)f(x) = 5(x - 6) +9; Vertex = (6,9)How to determine the vertex of the quadratic functions?The vertex form of the quadratic function is given as:
y = a(x -h)^2 + k
Where:
Vertex = (h,k)
Using the above highlight, the coordinates of the vertex of the equations would be:
f(x) = 9(x + 5)^2 - 6
Vertex = (-5,-6)
f(x) = 6(x + 9)^2 - 5
Vertex = (-9,-5)
f(x) = 9(x - 5)2 + 6
Vertex =(5,6)
f(x) = 6(x - 5)^2 - 9
Vertex = (5,-9)
f(x) = 5(x - 6) +9
Vertex = (6,9)
Read more about vertex quadratic functions at:
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PLZZZZZZZZZ HLPPPPPPPP MEEEEEEEEEEE
which of the following is made up of one base and a vertex not in the same plane as the base? check all that apply
a. cone
b. prism
c. cylinder
d. pyramid
Answer:
a. cone. Since it's the only shape with one base and a vertex not on the same plane
The temperature at 3:00pm was 15 degrees. At midnight the temperature was -2 degrees. What is the difference between those two temperatures
Step-by-step explanation:
(-2)-(+15)=(-17)
the difference between those two temperature s is (-17)
Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, cone–shaped figure with a radius of 2 cm, what will the height of the cone be?
Answer:
Step-by-step explanation:
We'll call height h.
The equations of a cone and sphere are:
Cones: 1/3 * base area * h
Spheres: 4/3 π * r³
The base area of a cone would be the area of a circle equation:
π * r² = π * 2² = 4π.
Because you're converting from sphere to cone, you would set their equations equal to each other.
1/3 * 4π * h = 4/3 π * 5³
Next, isolate h.
h = (4/3 π * 5³)/(1/3 * 4π)
h = 125
Hope this helps!
Answer:125
Step-by-step explanation:
PLZ HELP ME THANKS. If 3x-5-6x-2 is equaled to -1. Then how do I "check it"?
Answer:
3(-1)-5-6(-1)-2. You found the value of X, so you need to put it back into the equation to see if it equals out.
Answer:
-3
Step-by-step explanation:
3x-5-6x-2= -1
-3x -7 = -1
-3x= 7-1
-3x= 6
x= 6/(-2)
x= -3
---------
proof:
3*(-2)- 5- 6*(-2)- 2= -1
-6 -5 +12 -2 = -1
-13+12= -1
-1= -1
done
need helpppp with this one
Answer:
Step-by-step explanation:
brodha,,,
ur answer is
c)) 2sinxcosx
Is the pattern a net for the three-dimensional figure??????
Answer:
(A)Yes
Step-by-step explanation:
A right triangular prism has five faces.
Two right triangles Three rectanglesWe are to determine if the pattern is a net for the three-dimensional figure.
In the prism, the base has dimension 6m by 7m, this is true of the net.The right triangle has a hypotenuse of 10m, height of 8m and base of 6m. This is also true of the net.Therefore, the pattern is a net for the three-dimensional figure
A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach. A batch of raspberry donuts cooks in 11 minutes while a batch of peach donuts cooks in only 8 minutes. Let x represent the number of raspberry-filled donuts and let y represent the number of peach-filled donuts. Write an inequality to represent how many batches of the new type of donuts can be produced in a 10 hour day. a. c. b. d.
Step-by-step explanation:
X= raspberry
X = 600 ÷ 11 = 54 batches
[ 60 minutes = 1 hour]
[600 minutes = 10 hours]
Y = peach
Y = 600 ÷ 8 = 75 batches
Answer:
its b
Step-by-step explanation:
it just is
Can I get some help with this?
Answer:
x = 37 degrees
Step-by-step explanation:
Let the unknown angle be x
So,
Tan x = [tex]\frac{opposite}{Adjacent}[/tex]
Opposite = 3, Adjacent = 4
Tan x = [tex]\frac{3}{4}[/tex]
Tan x = 0.75
x = [tex]tan ^{-1} 0.75[/tex]
x = 37 degrees
Find the total surface area of this triangular prism
Answer :
T.S.A = 200 cm²
Combine the following expressions.
Answer:
second option
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{27x^{3} }[/tex]
= [tex]\sqrt{9(3)x^2.x}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]
= 3 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]
= 3x[tex]\sqrt{3x}[/tex]
-------------------------------
[tex]\sqrt{12x^{3} }[/tex]
= [tex]\sqrt{4(3)x^2.x}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]
= 2 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]
= 2x[tex]\sqrt{3x}[/tex]
---------------------------------------
Thus
3 × 3x[tex]\sqrt{3x}[/tex] - 2 × 2x[tex]\sqrt{3x}[/tex]
= 9x[tex]\sqrt{3x}[/tex] - 4x[tex]\sqrt{3x}[/tex]
= 5x[tex]\sqrt{3x}[/tex]
The interior angle of the regular pentagon below measures 108, and the pentagon has rotational symmetry. Which of the following is the measure of an interior angle after a 90 rotation around the point of symmetry?
Answer:
108
Step-by-step explanation:
The measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]
What is pentagon?In the pentagon, the sum of the interior angles is equal to 540°. If all the sides are equal and all the angles are of equal measure, then it is a regular pentagon. Otherwise, it is irregular. In the regular pentagon, each interior angle measures 108°, and each exterior angle measures 72°.
according to the question
After rotation the size of the interior angle stays the same.
10[tex]8^{o}[/tex] = 10[tex]8^{o}[/tex]
Hence, the measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]
To learn more about regular pentagon from here
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Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the diameter, d? 40 ft 80 ft 125 ft 250 ft
Answer:
250 ft
Step-by-step explanation:
circumference of circle 'C' is defined as
C = 2πr
250π = 2πr
r = 250π/2π
r= 125
d = 2r = 2×125 = 250 .
diameter of the given circle is 250 ft
The diameter of the circle is 250ft
Data;
Circumference = 250πdiameter = dCircumference of a CircleThe formula of circumference of a circle is given as
[tex]c = 2\pi r[/tex]
Let's substitute the values in here and solve
[tex]c = 2 \pi r\\250\pi = 2 \pi r\\r = 125ft[/tex]
The length of the radius is 125ft
But the length of diameter of a circle is twice the length of the radius
[tex]d = 2r\\d = 2 * 125\\d = 250ft[/tex]
The diameter of the circle is 250ft
Learn more on circumference of a circle here;
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A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and the probability that it is Green is 0.4 Find the probability that ball selected is: one is yellow other is not red plz answer urgent
Answer:
0.25
0.65
Step-by-step explanation:
Looking at the question, we can see that we were not given the probability of selecting a yellow ball.
Hence the probability of this is;
1-0.35-0.4 = 1-0.75 = 0.25
The probability that the selected ball is yellow is 0.25
The probability that it is not red means it is either yellow or green
What this means is that we add the probability of yellow to the probability of green
= 0.25 + 0.4 = 0.65
In the figure below, if m∠2=(18x+6)° and m∠3=(21x+18)° then m∠2= ____ .
Answer:
m∠2 = 78°
Step-by-step explanation:
Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.
Since ∠2 and ∠3 are the consecutive interior angles,
Therefore, sum of these angles will be 180°.
m∠2 + m∠3 = 180°
(18x + 6)° + (21x + 18)° = 180°
(18x + 21x) + ( 6 + 18) = 180
39x + 24 = 180
39x = 180 - 24
39x = 156
x = [tex]\frac{156}{39}[/tex]
x = 4
Since, m∠2 = (18x + 6)°
By substituting the value of x = 4,
m∠2 = (18×4) + 6
= 72 + 6
= 78°
Therefore, measure of angle 2 is 78°.
i will give BRAINLIEST , easy question
The answer is the second option which is : - 29
Answer:
29
Step-by-step explanation:
What is the relationship between angles A and B? They are congruent. They are complementary. They are supplementary. There is no relationship between them.
An image is attached to complete the question.
Answer:
The correct option is B
They are complementary.
Step-by-step explanation:
Angle A, and angle B in the attached image sum up to ninety degrees.
Two angles are said to be complementary if they add up to make ninety degrees. This characteristic makes us conclude that the two given angles, which are 59°, and 31°, have the sum: 59° + 31° = 90°, and are therefore, complementary.
The correct option is B.
If the attachment is not what completes your question, then knowing the meanings of supplementary angles, and congruent angles, is enough to help decide what option to choose.
Supplementary angles are angles that sum up to make one hundred and eighty degrees. (180°)
Congruent angles are angles that have the same shape and size.
Answer:
They are complementary.
Step-by-step explanation:
See attachment for the missing figure.
As in the figure, its the right angle triangle.
∠A+∠B=90° ( by complementary angles )
Lets verify now,
59°+31°=90° is correct
Angle A and Angle B are complementary angles
Two congruent circles centered at points A and B each pass through the other circle's
center. The line containing both A and B is extended to intersect the circles at
points C and D. The circles intersect at two points, one of which is E. What is the degree
measure of angle CED?
Answer:
60°
Step-by-step explanation:
We know triangle ABC is an equilateral triangle, since all of its side measures are the radii of the circles. That means angle BAC is 60°. Likewise, angle BAD is 60°, so arc CD is 120°.
The measure of inscribed angle CED is half the measure of the intercepted arc CD, so is ...
∠CED = 120°/2
∠CED = 60°