To go to a movie, a family with 2 adults and 4 children spends $64. A family containing 1 adult and 3 children spends $42. Find the cost of an adult movie ticket and the cost of a child movie ticket.

Answer:

16400 in ^2

Step-by-step explanation:

For area, we multiply by the scale factor squared

area 2 = sf^2 * area 1

Since the scale factor is 10,

area 2 = 10^2* 164

           = 100*164

           = 16400

Answer:

16,400 in²

Step-by-step explanation:

Ratio of Areas = (Ratio of sides)²

A/164 = 10²

A/164 = 100

A = 16400

Answer:

x=7/30

Step-by-step explanation:

3/10-1/15

Answer:

- 85

Step-by-step explanation:

The n th term of a geometric series is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

1[tex](-2)^{n-1}[/tex] ← is the n th term of a geometric series

with a = 1 and r = - 2

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

    = [tex]\frac{1((-2)^{8}-1 }{-2-1}[/tex]

    = [tex]\frac{256-1}{-3}[/tex]

    = [tex]\frac{255}{-3}[/tex]

    = - 85

Answer:

AC

Step-by-step explanation:

We know that a diameter of a circle is any straight line segment that passes through the center of the circle such that whose endpoints lie on the circle. It is also be known as the longest chord of the circle.

In the given figure we can see that only AC and BE are the  line segments that pass through the center of the circle such that whose endpoints lie on the circle.

Answer:

AC

Step-by-step explanation:

Answer:

(6x - 1)(6x + 1)

Step-by-step explanation:

36x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

36x² - 1

= (6x)² - 1²

= (6x - 1)(6x + 1)

Answer:

Our answer is [tex]x=9[/tex]

Step-by-step explanation:

First we will rearrange so we have to divide by 7.

[tex]\frac{x}{3}= \frac{2x+3}{7}[/tex]

Now we will cross multiply.

So...

[tex]x*7 \\3*2x+3[/tex]

Our new equation will look like:

[tex]7x=6x+9[/tex]

Now we have to isolate x.

So we have to subtract 6x from both sides.

[tex]7x-6=1x[/tex]

and

[tex]6x-6x=0[/tex]

Our new equation is:

[tex]1x=9[/tex]

Now divide.

Our answer is [tex]x=9[/tex]

Hope this helped!

Answer:

18.02 cm

Step-by-step explanation:

A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.

Remember, because we know the length and width, we know the two sides.

10^2 + 15^2 = c^2

100+225 = c^2

325 = c^2

18.027 ≈ c

We can use the Pythagorean theorem to solve for the diagonal. The diagonal is the same as the hypotenuse of a triangle.

Pythagorean Theorem: a² + b² = c²

Now, solve for the diagonal.

(10)² + (15)² = c²

100 + 225 = c²

325 = c²

√325 = √c²

18.0277... = c

Round if necessary.

18.0277... = 18.03

Therefore, the diagonal of the rectangle is approximately 18.03cm.

Best of Luck!

Answer:

189

Step-by-step explanation: cause i had dis question before in england

Answer:

A. (x + 8, y - 4)

Step-by-step explanation:

When something is translated to the right, x goes up, and when something is translated down, y goes down.

Alternatively, eft means down for x and up means up for y.

Step-by-step explanation:

[tex] \frac{f}{5} - ( - 13) = 12[/tex]

[tex] \frac{f}{5} + 13 = 12[/tex]

[tex] \frac{f}{5} = 12 - 13[/tex]

[tex] \frac{f}{5} = - 1 [/tex]

Now cross multiply

Therefore f = -5

Answer:

f= -5

Step-by-step explanation:

f/5-(-13)=12

remove the parenthesis and replace the negative with a positive.

f/5+13=12

multiply all by 5

f+65=60

move constant to the right

f=60-65

subtract 60 to 65

-----------------

f= -5

-----------------

The number of triangles is (n-2)

Answer:

-6x +21 -15y

Step-by-step explanation:

−3(2x+(−7)+5y)

Distribute

-3*2x + -3*-7 + -3*5y

-6x +21 -15y

Answer:

4,-4

Step-by-step explanation:

-4 times -4 equals 16

4 times 4 equals 16

Answer:

x=4

Step-by-step explanation:

square root of 16 and x^2 is 4

Answer:

The first relationship have a zero slope.

Step-by-step explanation:

Because if the y-axis is the same number and that's what makes the first choice the right answer.

Answer:

a. 2/7

Step-by-step explanation:

Please kindly go through the attached file for explanation

Answer:

$4.00

Step-by-step explanation:

Multiply the 1.6 pounds of grapes by the $2.50 per pound.

Answer:

4$

Step-by-step explanation:

Multiply 2.50$ with 1.6 pounds.

You get 4$

It won't cost more than 5$ because there are less than 2 pounds of grapes.

Answer:  

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Step-by-step explanation:  

Total number of cars = 150

Cars that failed the safety inspection = 18

The proportion is given by

p = 18/150

p = 0.12

p = 12%

The confidence interval is given by

p ± margin of error

Where margin of error is 0.02

0.12 ± 0.02

Lower limit = 0.12 - 0.02

Lower limit = 0.10

Lower limit = 10%

Upper limit = 0.12 + 0.02

Upper limit = 0.14

Upper limit = 14%

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Answer:

(0.10, 0.14)

Step-by-step explanation:

Answer:

25m :)

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Since all are equally likely, each outcome has a probability of 1/12.

P(9) = 1/12

Answer:

1/12

Step-by-step explanation:

The probability of rolling a nine is given by the number of good outcomes over the total outcomes

P(9) = number of 9's / total

       =1/12

Answer:

(2,5)

Step-by-step explanation:

If you are flipping a point over the x-axis, multiply the y coordinate by -1, if you are flipping something over the y-axis, multiply the x coordinate by -1.

The coordinates of point B are (2,5)

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Given that  coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B.

Since flipping a point over the x-axis, then we have to multiply the y coordinate by -1,

And ifyou are flipping something over the y-axis, then we have to multiply the x coordinate by -1.

Therefore, the point B are (2, _5_).

Learn more about reflection here;

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Answer:

2/3* 4/5 = 8/15

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached file below.

Given:

So assume that the the playground is divided into 5 equal part

=> 1 part is used for students to sit and read or (1/5)

=>  the remaining equal part is 4  or (4/5)

Because 2/3 of the remaining part is used for playing soccer

=> the equation represents the part of the playground used for soccer is:

2/3 of 4/5

= 2/3* 4/5

= 8/15

To find the part of the playground used for soccer, remember one-fifth is for reading, leaving four-fifths. Then, calculate three-quarters of the remaining area for soccer.

To represent the part of the playground used for soccer, we need to consider that one-fifth of the playground is used for students to sit and read. Therefore, the remaining four-fifths of the playground is available for other activities. Since three-quarters of the remaining playground is used for playing soccer, the equation representing the part of the playground used for soccer is:

4/5 * 3/4 = 12/20 = 3/5

Answer:

f(6)=-29

Step-by-step explanation:

f(6)=-5(6)+1

f(6)=-30+1

f(6)=-29

The value of f(6) is -29.

Given,

f(x)= -5x+1

We need to find f(6).

A function is denoted by f(x) and the point can be a value of x.

The x values are called domain and f(x) is called the output.

Example:

f(x) = x + 2

At x = 1

f(1) = 1 + 2 = 3.

Find f(x) = -5x + 1 at x = 6.

f(x) = -5x + 1

f(6) = - 5 x 6 + 1

     = -30 + 1

     = -29

This means the function f(x) is -29 at x = 6.

Thus the value of f(6) is -29.

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Answer:

Step-by-step explanation:

What it do Flight Crew FTC Flight Team Stand UPPPPPP

Answer:

the answer is c

all work is pictured

Answer:

34.3 meters

Step-by-step explanation:

The generic equation for a movement with constant acceleration is:

S = So + Vo*t + (a*t^2)/2

Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

If we compare with our equation (where x is the time and f(x) is the final distance), we have that:

So = 34.3

Vo = 29.4

a = -9.8

So we have that the inicial position (So) of the object is 34.3 meters

Answer:

[tex]V=35.3\ m^3[/tex]

Step-by-step explanation:

-Given the cone's height is 9.1m and the Circumference is 12.1

#We use the circumference formula to calculate the radius:

[tex]C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm[/tex]

-The volume of the cone using the radius above can then be calculated as follows:

[tex]V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3[/tex]

Hence, the cone's volume is [tex]35.3\ m^3[/tex]

The number of solutions for the given equation is one.

Here, we have,

To determine the number of solutions for the equation 3(x - 2) = 22 - x, we can solve it and analyze the result.

Let's simplify and solve the equation step by step:

3(x - 2) = 22 - x

3x - 6 = 22 - x

4x = 28

x = 7

After simplifying, we find that x = 7.

Now, we can analyze the number of solutions:

Since we have found a specific value for x that satisfies the equation, namely x = 7, there is exactly one solution.

Therefore, the number of solutions for the given equation is one.

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Answer:

1) 65600+13400+29700=108700

to the nearest thousand it will be 108000

2) 1/8+1/4=3/8

3/8-1=5/8

5/8× U=80000

U=80000÷5/8

U=128000

note that U is unknown

Step-by-step explanation:

To find the product with unknown values of variables, multiply the terms and equate the value to the given product.

[tex](7d^{2} - 3d + g)(3d^{2} + hd - 8)[/tex] = [tex]21d^{4} + 7hd^{3} - 56d^{2} - 9d^{3} - 3hd^{2} + 24d + 3gd^{2} + ghd - 8g[/tex]

[tex](7d^{2} - 3d + g)(3d^{2} + hd - 8)[/tex]     = [tex]21d^{4} + (7h-9) d^{3} + (3g-56-3h)d^{2} + (24+gh)d -8g[/tex]   ... (1)

Comparing eq(1) to the product given in question,

-8g = -1

g = 2

24 + gh = 14, sub g =2,

24 + 2h = 14

h = -5