The price of admission at a movie theater is $6 for an adult and $4 for a child. In one day, the movie theater sold 80 tickets and made $420. How many adults and how many children bought tickets to the movie theater that day?
x + y = 80,
6x + 4y = 420
Which is a solution of the system of equations, and what does it represent?
(20, 60); 20 adult tickets and 60 child tickets
(30, 50); 30 adult tickets and 50 child tickets
(40, 40); 40 adult tickets and 40 child tickets
(50, 30); 50 adult tickets and 30

The number of students will be 642 and the number of the adults will be 59.

The solution of the equation means the value of the unknown or variable.

Tickets for a soccer game cost $5 for students and $8 for adults.

The number of students was 7 less than 11 times the numbers of adults.

The amount of the money from tickets was 3682.

Let x be the number of students and y be the number of the adults.

Then the equation will be

x = 11y – 7  …1

5x + 8y = 3682 …2

From equation 1 and 2, we have

5(11y – 7) + 8y = 3682

55y + 8y – 35 = 3682

                63y = 3717

                    y = 59

Then the value of x will be

x = 11 × 59 – 7

x = 642

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Answer:

D: (-3,4).

Step-by-step explanation:

There is really no need to solve it. Plot those points onto a graph and draw lines. I have done it on desmos. Looking at the x-axis to find the domain. From the left to right x-axis we can see that the domain should be D: (-3,4).

Answer:

Factors of 24: 1, 2, 3, 4, 6 etc.

Multiples of 24: 48, 72, 96, 120

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

24 can be written as:

= 1 × 24

= 2 × 12

= 3 × 8

= 4 × 6

So, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24.

1 × 24 = 24

2 × 24 = 48

3 × 24 = 72

4 × 24 = 96

and so on...

So, the first 4 multiples of 24 are 24, 48, 72 and 96.

[tex]\rule[225]{225}{2}[/tex]

The length of PR = 18 .

A chord is a line segment whose both points lie on the circle.

When a chord is extended it is called secant .

When two chords meet outside the circle , the product of length of the secant and its external segment is equal to the product of length of other secant and its external segment.

According to the given data

FR and FP are the secants of the circle

To determine the measure of PR

From the secant theorem

(7+9) * 9 = (5x+8) * 8

16 * 9 = (5x+8) *8

2 *9 = 5x+8

18 = 5x+8

5x = 10

x = 2

Therefore the length of PR = 5x+8 = 10+8 = 18

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Answer:

x = 4

Step-by-step explanation:

6x - 8 = 16 (add 8 to both sides)

6x = 24 (divide by 6 on both sides)

x = 4

Brainliest, please :)

Step-by-step explanation:

6x=16+8

6x=24

6x/6=24/6

x=4

so the answer is 4

The statements that are true from the graph are:

Given the graph, we can note some things:

c is the value of the y- coordinates the line passes through.

The line passes through (0, 4 ) with a y- coordinate of 4

Therefore, the equation of the line of y= 4

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When the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.

Prices = 1,650,000

Exchange rates = ¥197/£

Change in exchange rate = ¥190/£

So, here Original price of the Toyota tundra is

                                   = 1,650,000 ÷ 197

                                    = 8375.63

New import price is = 1,650,000 ÷ 190

                              = 8,684.21

Percentage change in the price of the imported trucks should be

= ( New price - Old price) / old price *100                                                                                                                             = (8,684.21 - 8375.63) ÷ 8375.63                                                                                                                   = 3.68%

Hence , when the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.

(This is the percentage change in the Japanese yen as the price of the truck remains unchanged).

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Answer:

shown below

Step-by-step explanation:

3a = 2b - 6

a = (2b - 6) / 3 or 2b / 3 - 2

Answer:

a = (2b-6)/3

Step-by-step explanation:

3a = 2b + -6

lets make a the subject of the formula

divide both sides of the equation by 3

3a/3 = a = (2b-6)/3

a = (2b-6)/3

If he picks 1965, then the Gross earning will be $85.55.

The missing part of the question is given below.

If he picks 1965, then Calculate the Gross earning.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Calculate the gross earning for an apple picker based on the following differential pay scale:

     1 – 1000: $0.03 each

1001 – 1600: $0.06 each

  over 1600: $0.07 each

Total apples picked by Lindbergh = 1965

So, for 1000 apples, he will get =1000 × 0.03 = $30

Now, remaining apples = 1965 – 1000 = 965

Now for next 600 apples (from 1001-1600), he will get = 600 × 0.05 =$30

Now, remaining apples = 965 – 600 = 365

So, for remaining 365 (above 1600) apples, he will get = 365 × 0.07 = $25.55

So, total gross earning = $30 + $30 + $25.55

⇒ $85.55 is total gross earning

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The worker's expected weekly bonus is $30.0

The amounts and the probabilities are given as:

x    $10       $50

P(x)  0.75    0.25

The worker's expected weekly bonus is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

E(x) = $10 * 0.75 + $50 * 0.25

Evaluate the product

E(x) = $17.5 + $12.5

Evaluate the sum

E(x) = $30.0

Hence, the worker's expected weekly bonus is $30.0

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Answer:

B

Step-by-step explanation:

= (7x+1) • (8x)

= 56x^2 + 8x

A discriminant test is one that tells whether a formula has one, two or no solutions.

The equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

A discriminant test is a test that tells whether there are one, two or no solutions for a formula.

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac.

The discriminant of a quadratic equation is given as ax2 + bx + c = 0

A discriminant is said to be a parabola either x or y is squared and not both unlike that of an eclipse and a hyperbola.

With the given equation,  x^2 − 4xy + 3x + 25y − 6 = 0, only x is squared and not both x and y.

Thus, the equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

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Answer:

5

Step-by-step explanation:

We need to isolate the variable, aka make y on one side. So, if we divide 8 on both sides, it will be

y8=40

y8/8=40/8

y=5

Answer:

4

Step-by-step explanation:

[tex] \frac{9 - 1}{3 - 1} = 4[/tex]

The average rate of change on the interval [3, 9] will be 4.

The average rate of change between two points is given by the slope formula:

 m = average rate of change = (y2 -y1)/(x2 -x1)

The sequence an = 1(3)n − 1 is graphed below:

 m = (9 -1)/(3 -1) = 8/2

 m = 4

The average rate of change on the interval [3, 9] will be 4.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:2x - 3 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: (f - g)(x)[/tex]

[tex]\qquad \tt \rightarrow \: f(x) - g(x)[/tex]

Simple procedure :

[tex]\qquad \tt \rightarrow \: 3x - 1 - (x + 2)[/tex]

[tex]\qquad \tt \rightarrow \: 3x - 1 - x - 2[/tex]

[tex]\qquad \tt \rightarrow \: 3x - x - 1 - 2[/tex]

[tex]\qquad \tt \rightarrow \: 2x - 3[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Step-by-step explanation:

[tex] y = \frac{1}{x} [/tex]

In order to compress by a factor of 6, we multiply the variable x by 6. It would compress the hyperbola

[tex]y = \frac{1}{6x} [/tex]

Answer:

33

Step-by-step explanation:

3² = 3.3 = 9 => 24 + 9 = 33

Answer:

Step-by-step explanation:

plug in x try numbers

x = 14.2

Answer:

Attached file is the solutions

Step-by-step explanation:

Answer:

Surface Area = 378.25

Step-by-step explanation:

Comment

It's not clear whether the figure has 0 1 or 2 lids. Since it is a cylinder, I will assume 2 lids like a can of soup.

Area lids

diameter = 11.4

radius = d/2

radius = 11.4/2

radius = 5.7

Area = pi * r^2

Area = (3.14 * 5.7^2) * 2 There are 2 lids.

Area =   102.01 yd^2

Area body

This is found by finding the circumference of the lid and multiplying by the height

Circumference

C = 2*pi*r

2*r = the diameter

2*r = 11.4

C = 3.14*11.4

C = 35.80

Area body

Area body = C* h

h = 7.8

Area body = 35.80 * 7.8

Area body = 279.24

Total Area = 102.01 + 279.24 = 378.25

Answer: 20/63

Step-by-step explanation:

Multiplying these probabilities, we get (16/28)(15/27) = 20/63

Answer:

[tex]\boxed {192 cm^{2}}[/tex]

Step-by-step explanation:

Find the volume of separate cuboids :

Volume (top cuboid) :

⇒ V = 2 x 6 x (10 - 2)

⇒ V = 12 x 8

⇒ V = 96 cm²

Volume (lower cuboid) :

⇒ V = 8 x 6 x 2

⇒ V = 48 x 2

⇒ V = 96 cm²

Volume (prism) :

⇒ 96 + 96

⇒ 192 cm²

Answer:

2-2/3 hours

Step-by-step explanation:

1/4 + 2/3 + 1-3/4 = 1/4 + 2/3 + 7/4. Use common is 12, so we get 3+8+21/12 = 32/12. Simplify equal 8/3 or 2-2/3 hours!

Answer: -20

Step-by-step explanation: i hope its right

Answer:

See below ~

Step-by-step explanation:

Sides of a rhombus are equal.

⇒ QT = TS

⇒ x² - 4x - 10 = 6x + 14

⇒ x² - 10x - 24 = 0

⇒ x² + 2x - 12x - 24 = 0

⇒ x (x + 2) - 12 (x + 2) = 0

⇒ (x + 2)(x - 12) = 0

⇒ x = -2 or x = 12

Substitute both values and see which gives a positive value for QT :

When x = -2 :

When x = 12 :

The 2 possible answers are :

20% of the participants are girls and got a medal, and 33% of the girls got a medal.

First, we know that 40% of the participants were boys, so the other 60% were girls.

We know that 50% of the boys got a medal, so the percentage (in decimal form) of participants that are boys and got a medal is:

P = (0.4)*(0.5) = 0.2

So, 20% of the participants are boys and got a medal.

We know that the number of girls that got a medal is the same as the number of boys, then we also have that 20% of the participants are women who got a medal.

Then if the percentage of girls that got a medal is x (in decimal form), we must have that:

Q = (0.6)*(x) = 0.2

      x = 0.2/0.6 = 0.33

x = 0.33

This means that 33% of the girls got a medal.

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By critically observing the vertical bar chart, only the month of May had a birth of just over 10%.

A bar chart refers to a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.

Based on the vertical bar chart (see attachment), the relative frequency (&) with the birth of over 10% are:

However, only the month of May had a birth of just over 10%.

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