4 ones + blank = 1 ten

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

To find,

The gain percent

Solution,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]

So, the profit percentage is 33.34%.

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

please give thanks by hitting the heart button :)

Answer:

i think it is c or b but go with you gut feeling

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's 6n+750= $, so it's A.)

Answer:

1.35

Step-by-step explanation:

13.50 divided by 10 = 1.35

Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).

A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.

(sorry if im wrong)

:(

Answer:

200 pages

Step-by-step explanation:

( number of pages) ×(2/5) = 80

Number of pages = 80 ÷(2/5)

Number of pages = 200

Answer:

Angles 3, 8, and 6 are all equal to 132 degrees.

All other angles are equal to 48 degrees.

Answer:

C

Step-by-step explanation:

when x is negitive, y has an asitope of 0 so not a

when x is negitive, y has an asitope of 0 so not b

when x is positive, y does keep going down so c

when x is positive, y does keep going down and doesn't seem to be approching 0 so not d

Answer:

1260°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Number of sides n = 9

Step 2: Find

Answer:

Step-by-step explanation:

Given that:    

The equation of the damped vibrating spring is y" + by' +2y = 0

(a) To convert this 2nd order equation to a system of two first-order equations;

let y₁ = y

y'₁ = y' = y₂

So;

y'₂ = y"₁ = -2y₁ -by₂

Thus; the system of the two first-order equation is:

y₁' = y₂

y₂' = -2y₁ - by₂

(b)

The eigenvalue of the system in terms of b is:

[tex]\left|\begin{array}{cc}- \lambda &1&-2\ & -b- \lambda \end{array}\right|=0[/tex]

[tex]-\lambda(-b - \lambda) + 2 = 0 \ \\ \\\lambda^2 +\lambda b + 2 = 0[/tex]

[tex]\lambda = \dfrac{-b \pm \sqrt{b^2 - 8}}{2}[/tex]

[tex]\lambda_1 = \dfrac{-b + \sqrt{b^2 -8}}{2} ; \ \lambda _2 = \dfrac{-b - \sqrt{b^2 -8}}{2}[/tex]

(c)

Suppose [tex]b > 2\sqrt{2}[/tex], then  λ₂ < 0 and λ₁ < 0. Thus, the node is stable at equilibrium.

(d)

From λ² + λb + 2 = 0

If b = 3; we get

[tex]\lambda^2 + 3\lambda + 2 = 0 \\ \\ (\lambda + 1) ( \lambda + 2 ) = 0\\ \\ \lambda = -1 \ or \ \lambda = -2 \\ \\[/tex]

Now, the eigenvector relating to λ = -1 be:

[tex]v = \left[\begin{array}{ccc}+1&1\\-2&-2\\\end{array}\right] \left[\begin{array}{c}v_1\\v_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

[tex]\sim v = \left[\begin{array}{ccc}1&1\\0&0\\\end{array}\right] \left[\begin{array}{c}v_1\\v_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

Let v₂ = 1, v₁ = -1

[tex]v = \left[\begin{array}{c}-1\\1\\\end{array}\right][/tex]

Let Eigenvector relating to  λ = -2 be:

[tex]m = \left[\begin{array}{ccc}2&1\\-2&-1\\\end{array}\right] \left[\begin{array}{c}m_1\\m_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

[tex]\sim v = \left[\begin{array}{ccc}2&1\\0&0\\\end{array}\right] \left[\begin{array}{c}m_1\\m_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]

Let m₂ = 1, m₁ = -1/2

[tex]m = \left[\begin{array}{c}-1/2 \\1\\\end{array}\right][/tex]

∴

[tex]\left[\begin{array}{c}y_1\\y_2\\\end{array}\right]= C_1 e^{-t} \left[\begin{array}{c}-1\\1\\\end{array}\right] + C_2e^{-2t} \left[\begin{array}{c}-1/2\\1\\\end{array}\right][/tex]

So as t → ∞

[tex]\mathbf{ \left[\begin{array}{c}y_1\\y_2\\\end{array}\right]= \left[\begin{array}{c}0\\0\\\end{array}\right] \ \ so \ stable \ at \ node \ \infty }[/tex]

Answer:

[tex]N=\frac{8}{3}[/tex]

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

25

Step-by-step explanation:

Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].

Step-by-step explanation:

Answer:

40$,160$ & 60

Step-by-step explanation:

First,find the equation using y-y1/ y1-y2=x-x1=x1-x2

y-0/0-20=x-0/0-3

y=20x/3

Now put the values of x& y in the equation, for the 1st one,

y=20×6/3

=40

2nd one.y=20×24/3

=160

3rd one,

400=20x/3

X=400×3/20

=60

The values at different number of tickets and the tickets that can be bought at $400 has been determined.

When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.

Let x represent the number of tickets sold

Let y represent the amount of money earned from ticket sales.

y ∝ x

y = kx

k is the proportionality constant.

The value in the table will be used to determine the value of k,

For 3 tickets, the ticket amount is $20

20 = k * 3

k = 20/3

The relation is given by

y = (20/3) x

For 6 tickets, the value will be,

y = (20/3 ) *6 = $40

For 24 tickets the value will be,

y = (20/3) * 24 = $160

For $400, how many tickets can be bought,

400 = (20/3) * x

400*3 /20 = x

60 tickets can be bought for $400

To know more about Direct Variation

https://brainly.com/question/14254277

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Answer:A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .

Step-by-step explanation: y=f(x)+b y = f ( x ) + b .

Answer:

21 is c 22 is b hope this helps

Step-by-step explanation:

Answer:

a) 500

b) 9.6 years

Step-by-step explanation:

Population of Ilamas

a) P = 500 e ^0.035t

Find P when t = 0

Solving for P

P = 500 e ^0.035 × 0

P = 500 × e ⁰

P = 500 × 1

P = 500

The population of the Ilamas when t = 0 is 500

b ) Find t when P = 700

P = 500 e ^0.035t

700 = 500 e ^0.035t

Divide both sides by 500

700/500 = 500 e ^0.035t/500

7/5 = e ^0.035t

1.4 = e ^0.035t

Take In of both sides

In 1.4 = In (e ^0.035t)

In 1.4 = 0.035t

t = In 1.4/0.035

t = 0.3364722366/0.035

t = 9.6134924749 years

t = Approximately to the nearest tenth of a year = 9.6 years

Step-by-step explanation:

Given

f(x) = x² - 2x + 3

Now

f(-2) = (-2)² - 2 * ( -2 ) + 3

= 4 + 4 + 3

= 11

f(3) = 3² - 2 * 3 + 3

= 9 - 6 + 3

= 12 - 6

= 6

Hope it helps :)

Answer:

16.97

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Hi!

We're given that the perimeter is 76. A triangle's perimeter is given by the sum of all of the sides. So, we'll find the lengths of the sides of the triangle and add them.

This is an isosceles triangle. The legs of an isosceles triangle are equal. In this problem, we're given the length of one leg: 3x-4. That means that the length of the other leg is also 3x-4. Now, the last side of the triangle is x ("base is x).

2(3x-4) + x = 76

6x-8+x=76

7x-8=76

7x=84

x=12

Let's check our answer.

3(12) - 4 =36-4 = 32

32 times 2 = 64 +12 =76

Correct!

Answer:

a) F(d)=350+0.06d

b)$390.2

Step-by-step explanation:

350+0.06(670)=390.2

I think 88 problems were on the test.

Answer:

well for me

Step-by-step explanation:

I think it's 80-13 because it reduced by a minus 13