Answer:
11.11%
Step-by-step explanation:
So the question is:
$180 * (x)% = $y
Therefore $180 - $y = $160
Now:
180 - 160 = 20
Therefore; $20 is the discount
Now per cent of discount:
20/180 * 100 = 11.111111111111111111111%
therefore: per cent of discount is 11.11% (rounded to two decimal place)
Answer:
11.11 %
Step-by-step explanation:
Costing Price = Rs 180
Selling Price = Rs 160
Discount = C.P - S.P
=> 180-160
=> Rs 20
In %age:
=> [tex]\frac{20}{180} * 100[/tex]
=> 11.11 %
What is the parametric form of the line r = (2, -3, 0) + t(1, 0, -1)?
Answer:
d
Step-by-step explanation:
(x,y,z)=(2,-3,0)+t(1,0,-1)
(x,y,z)=(2,-3,0)+(t,0,-t)
(x,y,z)=(2+t,-3,-t)
x=2+t
y=-3
z=-t
If you don't understand, you can ask me :)
In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees and 17% of the standard employees participate in the voluntary equity program. Let S be the number of standard employees. If there are 600 employees total, what is the value of S?
In addition to the question, the following conditions must be met:
(1) M > 100
(2) more than 130 employees participate in the voluntary equity program
Answer:
Value of A is 200
Step-by-step explanation:
In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.
This is illustrated below:
For Beta employees 100/25= 4
So the number of employees that are Beta must be divisible by 4
For Standard employees 100/17 = 5.882
Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100
Total employees are 600
The various combinations are:
1. Beta employees 500 and Standard employees 100
Survey participants= (0.25 * 500) + (0.17 * 100) = 142
Number of participants is okay as it is >130 but does not satisfy Standard employees being >100
2. Beta employees are 300 and Standard employees are 300
Survey participants = (0.25 * 300) + (0.17 * 300) = 126
This does not satisfy condition of survey participants >130
3. Beta employees 400 and Standard employees 200
Survey participants = (0.25 * 400) + (0.17 * 200) = 134
This satisfies conditions of >130 survey participants and Standard employees >100
So correct value of S is 200
100
b)
2. Write the following decimals as common fractions in their simplest forms
a) 0,8
b) 0,03
Answer:
4/5, 3/100
Step-by-step explanation
Let's look at 0.8 first.
0.8 is 8/10, but there's some more.
Let's divide 8 / 2. It is 4.
and, 10 / 2 is 5.
so, 0.8's simplest form is 4/5.
and, 0.03's simmplest fraction is easy.
It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.
Hope this helps!
Graph the inequality y > |x + 1| – 1. Which point is NOT part of the solution? (–1, 2) (1, −1) (–1, 0) (1, 3)
Answer:
(1,-1)
Step-by-step explanation:
If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.
Simon has 160160160 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by A(x)=-x(x-80)A(x)=−x(x−80)A, left parenthesis, x, right parenthesis, equals, minus, x, left parenthesis, x, minus, 80, right parenthesis What width will produce the maximum garden area?
The width for maximum area will be 40 metres.
Given,Simon has 160 metres of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width x(in meters) is modeled by,
[tex]A(x)=-x(x-80)[/tex].
We know that perimeter of rectangle will be,
[tex]P=2(L+B)\\[/tex]
Here p is 160,
So,[tex]160=2(L+B)[/tex]
[tex]\L+B= 80[/tex]
Now we have the sum of length and width off the rectangular garden is 80.
Since,
[tex]A(x)=-x(x-80)\\[/tex]
So, [tex]A(x)=x(80-x)[/tex]
We know that the area of rectangle will be the product of length and , here in question width is [tex]x[/tex] so the length will be[tex](80-x)[/tex].
Now we have to calculate the width for which the area will be maximum.
The area will be maximum when the first derivative of area function will becomes zero.
So,
[tex]\frac{\mathrm{d} }{\mathrm{d} x} A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x)(x-80)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x^{2} +80x)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=-2x+80\\[/tex]
For maximum area ,
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=0[/tex]
Hence,
[tex]-2x+80=0\\x=40[/tex]
Hence the width for maximum area will be 40 metres.
For more details follow the link:
https://brainly.com/question/16545343
The maximum area is 1600 sq meters.
Step-by-step explanation:The garden's area is modeled by a quadratic function, whose graph is a parabola.
The maximum area is reached at the vertex.
So in order to find the maximum area, we need to find the vertex's y-coordinate.
We will start by finding the vertex's x-coordinate, and then plug that into A(x).
The vertex's x-coordinate is the average of the two zeros, so let's find those first.
A(x)=0 -x(x-80)=0
↓ ↓
-x=0 or x-80=0
x=0 or x=80
Now let's take the zeros' average:
[tex]\frac{(0)+(80)}{2}=\frac{80}{2}=40[/tex]
The vertex's x-coordinate is 40. Now lets find A(40):
A(40)= -(40)(40-80)
= -(40)(-40)
= 1600
in conclusion, the maximum area is 1600 square meters.
Trig work i don’t understand. pls help
Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
[tex]sin(26)=\frac{h}{25}[/tex] solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.
This box has the same length, width, and height as the two tennis balls. Which expression gives the volume of the empty space encircling the tennis balls inside the box?
Formala : Times bottom row with side row with the height.
Example: A box has the same length, width, and height as two tennis balls.
Times the bottom row with side row with the height.
Please answer ASAP! (I'll give brainliest and no need for explanation!)
Answer:
Median=3, Mean=2.333
Step-by-step explanation:
30 Points!! Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?
Answer:
Its a postive number
Step-by-step explanation:
If you look it says she is at sea leveal wicth is 0 and she is going up 12.3 feet so its postive.
The change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Given that, the lowest point of the Ferris wheel is -9.6 feet, and the highest point is 12.3.
The change in elevation from the bottom of the Ferris wheel to the top of the Ferris wheel is,
12.3 - (-9.6)
=12.3 + 9.6
= 21.9
Hence, the change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
To learn more about subtraction, click here:
https://brainly.com/question/2346316
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Find five rational numbers between 2/3and4/5
Answer:
61 / 90, 62 /90, 63 /90, 64/90, 65/90
Explanation:
2/3 = 2 x 5 / 3 x 5
= 10 / 15
4/5 = 4 x 3 / 5 x 3
12 / 15
we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6
10 / 15 X 6 /6
= 60 / 90
12/ 15 X 6 /6
= 72 / 90
the rational numbers = 61 / 90 62 /90 63 /90 64/90 65/90
Answer:
31/45, 32/45, 11/15, 34/35, 7/9.
Step-by-step explanation:
The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:
10/15 and 12/15 so one rational number between these is 11/15.
Now 11/15 = 33/45 and 4/5 = 36/45
So 2 rationals between these are 34/45 and 35/45 = 7/9
2/3 = 30 /45 and 11/15 = 33/45
so 2 rationals between these are 31/45 and 32/45.
Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line?
Answer:
Both types of lines are built on the same plane although they meet different objectives for which they are built.
Step-by-step explanation:
The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.
SOMEBODY HELPPP PLEASEEEE. I don’t understand
Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!
4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?
Answer:
7 formas
Step-by-step explanation:
En la pastelería, se han preparado 30 pasteles.
Cada bandeja contendrá la misma cantidad de pasteles.
Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:
1, 2, 3, 5, 6, 10, 15, 30
Esto significa que podemos tener:
30 bandejas que contienen 1 bandeja cada una
15 bandejas con 2 tortas cada una
10 bandejas con 3 tortas cada una
6 bandejas con 5 tortas cada una
5 pasteles que contienen 6 pasteles cada uno
3 bandejas con 10 pasteles cada una
2 bandejas con 15 tortas cada una
Esto significa que hay 7 formas de colocar los pasteles.
which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER
Answer:
B. regular octagon
I hope this will help you
The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?
Answer:
23 mSolution,
Let the length of tunnel be 'l'
Area=25 m^2
Volume of tunnel= cross sectional area* length
[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]
Hope this helps..
Good luck on your assignment..
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer
Manatee Springs
Elephant
House
3,500 yds
- 200 yds
Tran Depot
2000
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:
[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]
x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km
Eight people rob a bank: * By what percent does the share of three robbers increase?
Answer:
Step-by-step explanation:
It increase by 2.3
Use the identity below to complete the tasks:
23 - 63 = (a - b)(a² + ab + b2)
When using the identity for the difference of two
cubes to factor 64x8 - 27
a=
b =
Answer:
a is 2q^2r
b is 3s^2t
the expression factored is...
(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)
Step-by-step explanation:
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 57
Answer:
34%
Step-by-step explanation:
According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.
Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.
Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 = 34%.
which of the following sum in simplest form (radicals)
Answer:
9√2
Step-by-step explanation:
Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.
Answer:
9√2Option C is the correct option.
Solution,
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]
Hope this helps...
Good luck on your assignment..
Can any of y’all help me with this problem?
Answer:
90º clockwise rotation
Step-by-step explanation:
The rotation is a 270º counterclockwise rotation, since 270º rotation is
(x, y) → (y, -x)
F(1, 3) → (3, -1)
270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.
Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso
Answer:
Supongo que tenemos dos ángulos A y B
"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)
A/2 + B/3 = 15°
A/2 = 15° - (B/3)
A = 30° - 2*(B/3)
Ahora queremos calcular:
2*sin(3*A)/cos(2*B)
pero podemos reemplazar A por lo que tenemos arriba:
2*sin(3*(30° - 2*(B/3)))/cos(2*B)
2*sin(90° - 2*B)/cos(2*B)
y como sabemos,
Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)
entonces:
2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.
In your own words, tell how geometric sequences are related to exponential functions. Share your answer with the rest of the group.
Answer:
Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.
Step-by-step explanation:
help please!!!! ty :)
Answer:
I think the answer should be 112
I'm guessing the supports in the water are equally distanced. Therefore, I'd divide 168 by four to get a singular distance between two supports. I got 42 yards.
Find the value of:[(1/4)-1 + (1/3)-2 - (1/2)-3 ] ÷ 52
Answer:
-71/624
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.
The following box plot shows points awarded to dance teams that competed at a recent competition:
Answer:
top plot
Step-by-step explanation:
From the box and whisker plot, the smallest data point is 0 and the largest data point is 100
The median is 70
The only plot that has points at 0 and 100 is the first plot
Which function is represented by this graph?
Answer:
Option B.
Step-by-step explanation:
From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.
The vertex form of an absolute function is
[tex]y=a|x-h|+k[/tex]
where, a is a constant and (h,k) is the vertex.
From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.
[tex]y=a|x-(7)|+(-3)[/tex]
[tex]y=a|x-7|-3[/tex] ...(1)
It passes through (4,0).
[tex]0=a|4-7|-3[/tex]
[tex]3=3a[/tex]
[tex]1=a[/tex]
Put this in (1).
[tex]y=1|x-7|-3[/tex]
[tex]y=|x-7|-3[/tex]
Therefore, the correct option is B.
Can I get the awnser to this please?
Answer:
151.320046 m^2
150 m^2
Hope it helped!!!!!
Step-by-step explanation:
Area of the circle is:
pi * r^2
Therefore:
= pi * 17^2
= 289 * pi
Now Area of the sector:
= 289 * pi * (60/360)
= 289 * pi * 1/6
= 48.1666667 * pi
= 151.320046 m^2
= 150 m^2 (rounded)
Bob goes shopping at his favorite store and finds a hat that is regularly priced at $40, but it is on sale for 20% off. The sales tax on the hat is 10% of the sale price. How much does Bob end up paying for the hat?
Answer:
$35.2
Step-by-step explanation:
Marked price of hat = $40
Sale discount = 20%
discount in $ = 20% of $40 = 20/100 * 40 = $8
Thus, sale price = marked price - sale discount = $40 - $8 = $32
Now it is given that there is sales tax of 10%
This sales tax will be applied on sale price
thus,
sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2
Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2
Thus, Bob ended up paying $35.2 for the hat.