7 1/2 divided by (4 1/2 - 5 1/8) =

Answer:

The total number of child ticket sold  = 87

The total number of adult ticket sold = 128

Step-by-step explanation:

Given -  The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.

To find - Use an inverse matrix to determine the number of each type of ticket sold .

Proof -

Let the total number of child ticket sold = x

Let the total number of adult ticket sold = y

Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.

⇒x + y = 215

Also,

Given that,  Tickets cost $11 child and $15 per adult, bringing in a total of $2877

⇒11x + 15y = 2877

So,

The equations becomes

x + y = 215

11x + 15y = 2877

So,

The matrix form becomes

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]

By comparing, we get

x = 87

y = 128

So, we get

The total number of child ticket sold = x = 87

The total number of adult ticket sold = y = 128

Answer:

A

Step-by-step explanation:

First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9

Answer:

A. 25 feet

Step-by-step explanation:

Answer:

Both are equal

Step-by-step explanation:

please mark me brainliest

Answer:1/7

Step-by-step explanation:

Answer:

that as a fraction is 3 and 201 over 500

Answer:

3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction

Step-by-step explanation:

Answer:

(.4x+7)(.4x-7)

Step-by-step explanation:

Answer:

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Step-by-step explanation:

Given :-

We need to find the solution set for the given inequality . So , on solving it , we have ,

[tex]:\implies[/tex] 4m + 6 < 2

[tex]:\implies[/tex] 4m < 2 - 6

[tex]:\implies[/tex] 4m < -4

[tex]:\implies[/tex] m < -4/4

[tex]:\implies[/tex] m < -1

Hence m can have all values less than -1. Therefore the final answer is ,

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Hence m can have all values less than-1.

Answer:

15 days

Step-by-step explanation:

Answer:

The answer is in the picture.

Answer:D

Step-by-step explanation:

I'm prolly wrong so sorry

Answer:

I think it's 'D'

hopefully it's correct!

Answer:

28.9 m

Step-by-step explanation:

30²-8²=900-64= 836

√836 = 28.9 m

The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Here, Given, length of ladder ( Hypotenuse ) = 30 ft.

Distance from base = 8 ft.

By Pythagoras theorem,

Hypo.² = perp.² + base²

30² = x² + 8²

900 = x² + 64

x² = 900 - 64

x² = 836

x = √836

x = 28.91 ft.

Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

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Answer:

it is eightyseven money

Answer:

✺ [tex] \large \tt \: E \: X\: P\: L\: A \: N \: A \: T \: I \: O\: N : [/tex]

☃ [tex] \large{ \tt{GIVEN \: EQUATION}} : [/tex]

[tex] \large{ \bf{↬y = 3x + 5}}[/tex] [ Move 3x from left hand side to right hand side and change it's sign to addition since the opposite of subtraction is addition ]

[tex] \boxed{ \large \:⟿ \tt \:Slope \: (m) = \boxed{ \tt{3} }}[/tex]

[tex] \boxed{ \large { \tt{⟿ \: Y - intercept \: (c \: ) = \boxed {\tt{ 5}}}}}[/tex]

☏ And we're done! Yay , We found our answer !

♕ [tex] \large{ \tt{STUDY \: TIP}}[/tex]

♡ Hope I helped! ✎

☄ Have a wonderful day / night ! ☂

#StayInAndExplore ! ♨

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

110°

Step-by-step explanation:

Let the third angle be x. All the angles in a triangle add up to 180°. From the previous statement, we can write the equation:

25° + 45° + x = 180°

70° + x = 180°

x = 110°

Answer:

Number of tile package need = 55 package of tile

Step-by-step explanation:

Given:

Base of parallelogram = 25 feet

Height of parallelogram = 11 feet

Each package of tile cover = 5 square feet

Find;

Number of tile package need

Computation:

Area of parallelogram = Base of parallelogram x Height of parallelogram

Area of parallelogram = 25 x 11

Area of parallelogram = 275 square feet

Number of tile package need = Area of parallelogram / Each package of tile cover

Number of tile package need = 275 / 5

Number of tile package need = 55 package of tile

Answer:

10 guests

Step-by-step explanation:

Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.

Let us represent additional guests = g

Lazer Zone charges $50 for parties, and an additional $10 per guest.

=$50 + $10 × g

50 + 10g

For fun place

Fun Palace charges $90 for parties, and an additional $6 per guest.

= $90 + $6 × g

90 + 6g

For how many ?

We equate both Equations together

= 50 + 10g = 90 + 6g

Collect like terms

10g - 6g = 90 - 50

4g = 40

g = 40/4

g = 10

Hence, g = 10 guests

Therefore, the number of guests for which the cost of both companies is the same is 10 guests

-7 and - 9

Step-by-step explanation:

Area of rectangule is length * width

Answer:

Sum of angles of a triangle is 180, so x + y + w = 180

Straight angle is 180 , so y + z = 180

From the first 2 conditions :

=>x + y +w = y + z

=> x + w = z  

Option 1, 2, 5

The equations which are true are given by,

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.

Here all interrior angles of triangle are x,y,w

So, x+y+w = 180

Hence first option is correct.

Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.

here exterrior angle is z and opposite two interrior of z are x,w

So, w+x = z

Hence last option is correct.

Again y+z = y+w+x

so second option is also true.

Hence correct options or equations are given by:

Learn more about Equation here -

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Answer:

1/6

Step-by-step explanation:

[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]

Answer:

1/6

Step-by-step explanation:

(2/3)(1/4)=2/12=1/6

Answer: 441

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Andrea recipe for cranberry relish is

1 3/4

= 7/4

He wants to use 1/2 of that amount

Therefore the amount of sugar he should use can be calculated as follows

= 7/4×1/2

= 7/8

Answer:

a. a = 3, b = 2

b. The coordinate of the center is (2, -1)

c. The eccentricity of the ellipse is √5/3

d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) =  25 + 11 = 36

4·(x - 2)² + 9·(y + 1)² = 36

[tex]\dfrac{4\cdot (x - 2)^2}{36} + \dfrac{9 \cdot (y + 1)^2}{36} = \dfrac{36}{36}[/tex]

[tex]\therefore \dfrac{ (x - 2)^2}{9} + \dfrac{ (y + 1)^2}{4} = \dfrac{ (x - 2)^2}{3^2} + \dfrac{ (y + 1)^2}{2^2} = 1[/tex]

By comparison, a = 3, b = 2, h = 2, k = -1

b. The coordinate of the center, (h, k) = (2, -1)

c. The eccentricity of the ellipse = c/a

c² = a² - b²

∴ c² = 3² - 2² = 5

c = √5

Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

Answer:

m=1/3

Step-by-step explanation:

11m- 4/3=2m+5/3

-2m. - 2m

9m -4/3=5/3

+4/3.+ 4/3

9m= 9/3

m=1/3

Answer:

Step-by-step explanation:

There are no pics

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.

b = base

h = height

A = [tex]\frac{1}{2}[/tex](6)(8)

A = 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.

Step-by-step explanation:

Answer:

2a-2b

Step-by-step explanation:

2(a-b)         use distributive property

2a-2b        

hope this helped :)

Answer:

( 3, 5.5 )

Step-by-step explanation:

Let,

( x1, y1 ) = ( 7, 3 )

Where,

x1 = 7

y1 = 3

Let,

( x2, y2 ) = ( - 1, 8 )

Where,

x2 = - 1

y2 = 8

Formula : -

Midpoint = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Midpoint of AB

= ( - 1 + 7 ) / 2, ( 8 + 3 ) / 2

= 6 / 2, 11 / 2

= ( 3, 11 / 2 )

= ( 3, 5.5 )