Five ballet tickets and 3 musical tickets cost $370.00. 3 musical tickets cost $120. All ballet tickets cost the same and all musical tickets cost the same. What is the ratio of the cost of a ballet ticket to the cost of a musical ticket in simplest form?

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

Answer: 8100 cm2

Step-by-step explanation:

First find radius

Area of semi circle = Pi*r2 / 2

7700 = 22/7 * r2/2

r2 = 7700 * 7 * 2 / 22

r2 = 700 * 7

r = square root of 7*7*10*10 ( I converted 700 into simpler numbers)

r = 7 x 10

r = 70 cm

Perimeter = r(Pi + 2)

= 70 ( 22/7 + 14/7)

= 70 * 36/7

= 360 cm

Let us take side of square as “x”

4x = 360

x = 360 / 4

x = 90

Area of square = side * side

= 90 * 90

= 8100 cm2

A semicircle is simply the half of a complete circle, and it can be gotten by dividing the circle through its center into equal halves.

The area of the enclosed square wire is 3025 square meters

The given parameters are:

[tex]\mathbf{Area= 7700cm^2}[/tex]

The area of a semicircle is

[tex]\mathbf{Area= \frac{\pi r^2}{2}}[/tex]

Substitute 7700 for Area

[tex]\mathbf{\frac{\pi r^2}{2} = 7700}[/tex]

Express pi as 22/7

[tex]\mathbf{\frac{22 \times r^2}{7 \times 2} = 7700}[/tex]

Divide through by 22

[tex]\mathbf{\frac{r^2}{7 \times 2} = 350}[/tex]

Multiply both sides by 14

[tex]\mathbf{r^2 = 4900}[/tex]

Take square roots of both sides

[tex]\mathbf{r = 70}[/tex]

Next, calculate the circumference of the semicircle

[tex]\mathbf{C = \pi r}[/tex]

So, we have:

[tex]\mathbf{C = \frac{22}{7} \times 70}[/tex]

[tex]\mathbf{C = 220}[/tex]

This means that the length of the wire is 220 meters.

This also represents the perimeter of the square.

The perimeter of the square is calculated using:

[tex]\mathbf{P = 4L}[/tex]

Where L represents the side length

So, we have:

[tex]\mathbf{4L = 220}[/tex]

Divide both sides by 4

[tex]\mathbf{L = 55}[/tex]

The area of the enclosed square is then calculated using:

[tex]\mathbf{Area = L^2}[/tex]

So, we have:

[tex]\mathbf{Area = 55^2}[/tex]

Evaluate the square

[tex]\mathbf{Area = 3025}[/tex]

Hence, the area of the enclosed square wire is 3025 square meters

Read more about areas at:

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When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.

20 - 14 = 6 feet

This means that the balloon is now 6 feet above the ground.

I hope I've helped! :)

Answer:

No The correct Answer is "G"

Step-by-step explanation:

First lets find 300% as a number which is 3 ok so now

increase 10 by 300%

so 100%+300%=400%

and half of 400 which is 200%

so H is no correct g is

Answer:

27 / 4x^6y^8.

Step-by-step explanation:

= 4 * 3^3 x^6 y^12 / 16 x^12 y^20

= 4*27 / 16 x^6y^8

= 4*27/ x^6y^8

= 27 / 4x^6y^8

Answer:

(-6, -2)

Step-by-step explanation:

Answer:

its 3 and 5

Step-by-step explanation:

i know this because i took the quiz and its simple

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

Answer:

61.25

Step-by-step explanation:

speed = distance / time

speed = 122.5 km / 2 hour

= 61.25

Answer:

use the Microsoft world language to define noun phrases and figure of speech

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

Answer:

b

Step-by-step explanation:

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

Answer:

y=3/5x + 2

Step-by-step explanation:

y-(-1)=3/5(x-(-5))

y+1=3/5(x+5)

5y+5=3x+15

5y=3x+10

y=3/5x+2

Answer:

B, or second answer choice

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

y - 1/3 = 3/4 (x - 4)

B

Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

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Answer:

The product of A would be the answer

Answer:

Step-by-step explanation:

Answer:

(can't answer a since the ratio chart is incomprehensible through text)

b. 20 feet of ribbon for $12.00

12 / 3 = 4

5 x 4 = 20

c. 17 feet of ribbon for $10.20

find unit rate (cost / quantity)

3 / 5 = $0.60 per feet

0.60 x 17 = 10.2

Answer:

483/798-5458+7429=19035674846 :))

Step-by-step explanation:

Answer:

It is Positive 92

Step-by-step explanation:

-71 + 92 = 21

Answer:

2.5

Step-by-step explanation:

Length of CB is 5

so we can take CF which is the midpoint and divide that by 2 since its split

Answer:

A E

Step-by-step explanation:

A => 10/4 = 5/2

B => 4/2 = 2

C => 2/5

D => here y is less than x

E => 10/4 = 5/2

The given properties would be most useful as a machinery lubricant.

We are given the chemical and physical properties of the unknown substance as follows;

Now, some of the properties of machinery lubricants are;

These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.

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Complete question is;

High viscosity at higher temperatures

unreactive with other substances

liquid at high temperatures

organic compound

poor conductor of electricity

Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)

A) machinery lubricant.

B) heat insulator in a home.

C) internal combustion engine fuel.

D) electrical conductor in a computer circuit.

Answer:

Answer is C noumber

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=

k!(n−k)!

n!

Hence, C is the right option.