What is 105354.00085 x 17

Three moons are in the same circular orbit around a planet. The moons are each 120,000 kilometers from the surface of the planet

VladimirAG [237]

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

MN is the diameter of the planet which is $MN = 60000$

AM and NC are the distance of moons from the surface of the planet.

$AM = NC = 120000$

Since, angle ABC is given as 90 degree, it means, line AC will pass from the diameter of the planet.

So, distance between moon A and moon C is =

$AC=AM + MN + NC$

$AC = 120000+ 60000+ 120000$

$AC = 300000$

Hence the distance between point A and point C is 300000 Km. : Answer

Hope it will help :)

8 0

3 years ago

Multiply. −4 1/7 x 3 1/2 Enter your answer, in simplest form, in the box.

Alisiya [41]

ANSWER:

-14 1/2

STEP-BY-STEP:

-4 1/7 x 3 1/2 = -14.50

-14.50 turned into the simplest fraction it can be, without changing the whole number, is -14 1/2

8 0

3 years ago

7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x

bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

$C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20$

Revenue:

The revenue is given by the following equation:

$R = 15x$

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

$\frac{4x}{3} + 20 = 15x$

$15x - \frac{4x}{3} = 20$

$\frac{45x}{3} - \frac{4x}{3} = 20$

Multiplying everything by 3

$45x - 4x = 60$

$41x = 60$

$x = \frac{60}{41} = 1,...$

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

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7 0

3 years ago

Li...

faltersainse [42]

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467 Eqn 1

28x+36y=484 Eqn 2

Multiplying Eqn 1 by 28

$28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 21

$21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4$

Subtracting Eqn 4 from Eqn 3

$(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912$

Dividing both sides by 364

$\frac{364y}{364}=\frac{2912}{364}\\y=8$

Putting y=8 in Eqn 1

$21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147$

Dividing both sides by 21

$\frac{21x}{21}=\frac{147}{21}\\x=7$

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25

Jobisdone [24]

Answer:

The coordinate of the vertex of the parabola is (h,k) = (3,20)

Step-by-step explanation:

The given equation of the parabola is $y=-5x^2+30x-25$

Now, the General Parabolic Equation is of the form:

$y = a (x-h)^2 + k$ , then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

$y=-5x^2+30x-25 = -5(x^2 -6x + 5)$

Using the COMPLETE THE SQUARE METHOD,

$-5(x^2 -6x + 5) = -5(x^2 -6x + (3)^2 + 5 - (3)^2)\\\implies -5(((x^2 -6x +(3)^2) + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20$

or $y = -5(x-3)^2 + 20$

⇒The general formed equation of the given parabola is

$y = -5(x-3)^2 + 20$

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the vertex of the parabola is (h,k) = (3,20)

5 0

3 years ago