A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85
Adult tickets are $15 each and child tickets are $5 each.
Let x represent adult tickets and y represent child tickets.
Write an equation to model the total amount of money that they spent.

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Recall:

Given:

Required:

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Learn more here:

https://brainly.com/question/16410706

Answer:

O [tex]8 * 10^2[/tex]

Step-by-step explanation:

Hope it helps

Peace out

^^ ^-^ :) ;) ~-~

Answer:

y+zx=a (see below for variables

Step-by-step explanation:

You haven't attached an image, so I'll I assume you want the equation

y is amount of water, x is time, z is water drained per minute, and a is the original amount o water

y=a-zx

rearranging it for the original amount of water

y+zx=a

Answer:

360 liters

Step-by-step explanation:

The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.

Answer:

1.12877

Step-by-step explanation:

You could also round it to the nearest tenth and just say 1.1 pounds

Answer:

1.12877 pounds

Step-by-step explanation:

For an approximate result, divide the mass value by 454.

1 gram = 0.00220462 pounds

Answer:

x^2+4x+13=0

Step-by-step explanation:

I'm 100% certain this is right. Have a good day/night wherever you are! :D

From the combined standard deviation, with the mean, and standard

deviation of the data sets, the required variance can be found.

Reasons:

The given data information are;

Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0

Standard deviation of the the first set, σ₁ = 4.0

Sample size of second observation, n₂ = 20

Mean of second sample, [tex]\overline x_2[/tex] = 10

Standard deviation of the combined set, σ₁₂ = 3.0

Sample size of combined set of observation, n₂ = 35

Solution:

The number of elements in the second sample, n₁ = 35 - 20 = 15

The standard deviation of the combined set is given by the formula;

[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]

Where;

[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]

Therefore;

[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]

d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]

[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]

d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]

[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]

Therefore;

[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]

Solving gives;

[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]

[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]

Learn more here:

https://brainly.com/question/16869429

The answer is in the graph.

Answer:in the picture

Step-by-step explanation:

please give me a brainliest answer

Answer:

1,100,000

Step-by-step explanation:

20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000

Answer:

1,100,000

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

in both f approaches +infinity

Answer:

40/54 = 20/27

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Ants love to eat Whales. You learn something new everyday! :)

Step-by-step explanation:

your correct answer is the last one (x-1)/x²+3x+2.

the second equation lcm will be x²+3x+2 if you expand it .

hope this helps you.

The difference of the Expression is (x -1) / (x² + 3x + 2).

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have,

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

Now, simplifying the expression as

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)

= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)

= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)

= (x-1) / (x+ 2)(x+ 1)

= (x -1) / (x² + 3x + 2)

Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).

Learn more about Expression here:

brainly.com/question/14083225

#SPJ7

Step-by-step explanation:

the roots are complex

the answer is in the image above

Answer:

x² = 2

x = sqrt. of 6

x = (+-)2.449

Step-by-step explanation:

brainliest plz

Answer:

21 calories per cup

Step-by-step explanation:

4cups↔84calories

1cup  ↔less

1/4x84=21calories

Step-by-step explanation:

-4+13=9

-16-(-29)=13F lower

Answer:

Step-by-step explanation:

Let v be her average speed from her parents house

Let t₁ be the time traveled to parents house

Let t₂ be the time traveled from parents house

t₁ + t₂ = 19

t₁ = 19 - t₂

as the distance does not change, we can equate two velocity•time statements

vt₂ = (v + 25)t₁

vt₂ = (v + 25)(19 - t₂)

vt₂ = 19v - vt₂ + 475 - 25t₂

2vt₂ = 19v + 475 - 25t₂

vt₂ = 570 and t₂ = 570/v

2(570) = 19v + 475 - 25(570/v)

1140 = 19v + 475 - 14,250/v

665 = 19v - 14,250/v

665v = 19v² - 14250

0 = 19v² - 665v - 14250

0 = v² - 35v - 750

quadratic formula

v = (35 ±√(35² - 4(1)(-750))) / 2

v = (35 ± 65) / 2

v = - 15 mph which we ignore as she did not spend hours driving backwards

or

v = 50 mph is average speed from parents house

v + 25 = 75 mph is average speed to parents house.

the trip to took 570/75 = 7.6 hrs

the trip from took 570/50 = 11.4 hrs.     total of 19 hrs.

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let y represent the weight of object on earth and x represent the weight of object on the moon.

y ∝ x

y = kx

When y = 66, x = 10.92, hence:

66 = 10.92k

k = 6

When y = 185 lb:

185 = 6x

x = 30.8 lb

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Find out more at: https://brainly.com/question/25225528

Answer:

30.8lb

Step-by-step explanation:

Answer:

[tex]x = \frac{60}{5} = 12[/tex]

..........................................

Answer:

........................

Answer:  x=68 °

Step-by-step explanation:

The sum of the angles h in the n-gon is calculated by the formula :

[tex]\displaystyle \rm S=180(n-2)[/tex]

where n is the number of sides

Then the sum of all the corners of the pentagon is equal to

[tex]\rm S=180(5-2)=540 \\\\[/tex]

[tex]\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}[/tex]

Its a Pentagon

[tex]\\ \sf\longmapsto x+x+60+x+40+x+80+x+20=540[/tex]

[tex]\\ \sf\longmapsto 5x+200=540[/tex]

[tex]\\ \sf\longmapsto 5x=540-200[/tex]

[tex]\\ \sf\longmapsto 5x=340[/tex]

[tex]\\ \sf\longmapsto x=340/5[/tex]

[tex]\\ \sf\longmapsto x=68[/tex]

Answer:

More than 180. It needs more info to have an actual answer.

Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨

Step-by-step explanation:

The height of the triangle if the base is 8 is 3.96 units

Given the following parameters

Base of a triangle = 8 units

Let the hypotenuse be "c"

Let the height be "h"

If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;

c = 2h + 1

According to the Pythagoras theorem:

c² = b² + h²

(2h + 1)² = 8² + h²

Expand

4h²+4h+1 = 64 + h²

4h²-h² + 4h + 1 - 64 = 0

3h² + 4h - 63 = 0

Factorize the result

On factorizing, the value of the height is 2

h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]

h = 11.89/3

h = 3.96 units

Hence the height of the triangle if the base is 8 is 3.96 units

Learn more here: https://brainly.com/question/20545047

Answer:

2. undefined

3. 0

Step-by-step explanation:

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

3.

( x1, y1 ) = ( - 4, - 8 )

Here,

x1 = - 4

y1 = - 8

( x2, y2 ) = ( 2, - 8 )

Here,

x2 = 2

y2 = - 8

Slope = ( - 8 - ( - 8 ) ) / ( 2 - ( - 4 ) )

= ( - 8 + 8 ) / ( 2 + 4 )

= 0 / 6

Slope = 0

2.

( x1, y1 ) = ( 6, 6 )

Here,

x1 = 6

y1 = 6

( x2, y2 ) = ( 6, - 4 )

Here,

x2 = 6

y2 = - 4

Slope = ( - 4 - 6 ) / ( 6 - 6 )

= - 10 / 0

Slope = not defined

Note : -

Any number who denominator is 0 is undefined.

i believe it is 6: but I dont know for sure

Answer:

row matrix

Step-by-step explanation:

A matrix with only 1xmis called a ______ matrix