At the movie theatre, child admission is $5.80 and adult admission is $9.60. On Thursday, 167 tickets were sold for a total sales of $1322.00. How many adult tickets were sold that day?

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

5x + 6

Step-by-step explanation:

+7x -2x = 5x

And 5 + 1 = 6

So it would be 5x + 6

Answer:

5x + 6

Step-by-step explanation:

(7x + 1) + (-2x +5)             Take away parentheses

7x + 1 - 2x +5                    Combine like terms

5x + 6

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

Answer:

Step-by-step explanation:

You want the cost of a notebook and a thumb drive when 5 notebooks and 15 thumb drives costs $395, while 12 notebooks and 8 thumb drives cost $248.

The two purchases can be described by the equations ...

Subtracting the second equation from 3 times the first, we have ...

  3(n +3d) -(3n +2d) = 3(79) -(62)

  7d = 175

  d = 25 . . . . . . . divide by 7

Substituting into the first equation gives ...

  n +3(25) =79

  n = 4 . . . . . . . subtract 75

The cost of each notebook is $4; the cost of each thumb drive is $25.

__

Additional comment

It is often easier to solve a system of equations when they are written in standard form. Here, we made the coefficients mutually prime by dividing each equation by the greatest common factor. For the first equation, we divided by 5; for the second equation, we divided by 4. This is especially useful if one of the coefficients ends up being 1.

Answer:

The correct answer is that the males have a significantly high outlier.

Step-by-step explanation:

If you look at the box plots show the long tails t6hat signify the Q3 outlier

Answer:

b

Step-by-step explanation:

Answer:

27/29

Step-by-step explanation:

Answer:

can you send a picture please

Step-by-step explanation:

Hey there!

After looking at the figure we can state that;

X + 53° = 105°. { the exterior angle is equal to the sum of adjacent interior angle}

X = 105° - 53°

Therefore, X = 52°

Hope it helps...

Using proportions, it is found that the equivalent cost in U.S. dollars per gallon would be of 5.11.

In September 2016, the cost of gasoline in Berlin was around 1.21 euros per liter. Hence, per gallon, that is, per 3.785 liters, we use a rule of three to find the cost.

1.21 euros - 1 liter

x euros - 3.785 liters

Applying cross multiplication:

\(x = 1.21(3.785) = 4.57985\)

Cost of 4.57986 euros per gallon. Since 1 U.S dollar is equivalent to approximately 0.896 euros, we have that:

1 dollar - 0.896 euros

x dollars - 4.57986 euros

Applying cross multiplication again:

\(0.896x = 4.57986\)

\(x = \frac{4.57986}{0.896}\)

\(x = 5.11\)

The equivalent cost in U.S. dollars per gallon would be of 5.11.

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The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.

Given: Slope (m) = -2 and point (-2, -3)

Step-by-step explanation:

x/5 + 7 = 16

x/5 = 16 - 7

x/5 = 9

x = 9×5

= 45

Answer:

x/5 + 7 =16

x/5 = 16 -7

x/5 = 9

x = 5×9

x = 45

To map Figure T to Figure U, we can use the following sequence of transformations:

Translation: Move the figure 10 units to the right and 12 units down.

This will shift all the points in Figure T by the specified distances.

Reflection: Reflect the figure across the vertical axis.

This will reverse the order of the points horizontally.

Translation: Move the figure 5 units to the right and 10 units up.

This will shift all the points in Figure T (which is now reflected) by the specified distances.

The resulting sequence of transformations would be:

Translation (10 units right, 12 units down) -> Reflection (across the vertical axis) -> Translation (5 units right, 10 units up)

Applying these transformations to Figure T should result in Figure U.

The resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

According to the given information, the current in an electrical conductor varies inversely to the resistance of the conductor. Inverse variation can be represented mathematically as follows:

Current * Resistance = Constant

Let's denote the constant as 'k'. We can use the initial values to find the value of 'k'.

When the resistance is 240 ohms and the current is 12 amperes:

12 * 240 = k

k = 2880

Now that we have the value of 'k', we can use it to find the current when the resistance is 540 ohms:

Current * 540 = 2880

Current = 2880 / 540

Current ≈ 5.33 amperes

Therefore, when the resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

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Answer:

Step-by-step explanation:

Answer:

where is the image then i will comment the ansewr thanks

Step-by-step explanation:

Answer:

99

Hope this helps you guys!

The  work required to pump the water out of the spout is 70.9 * 10⁶ joules which is 71 M Joules approx.

Let the spherical tank be divided into a series of horizontal disks.

Let x be the height of each disk, g = gravity and p = density

Volume of each disk = πr2dx

Where r is the radius of each disk and dx is the thickness

By Pythagoras r² = 6² - x²= 36 -x²

Therefore Volume = π*(36-x²)*dx cubic metres

The distance each disk has to be lifted to escape the top of the spout = 2 + 6-x meters = (8-x)

Work needed to lift each disk to outlet = distance * mass where

mass = volume * density * gravity

        = pi(36-x²)*p*g = 9800pi(36-x²)dx

dW =  (8-x)* 9800pi(36-x²)dx

Since we have already accounted for the height of the spout, the work required is obtained by integrating the above expression from the bottom of the tank to the top. In other words, - 6 to + 6.

W = ⌠(8-x)*9800pi(36-x2)dx = 9800pi⌠[288 - 36x - 8x² +x³]dx

The odd terms evaluate to zero and we can rewrite the above as 2* I from 0 to 6.

W = 9800pi*2 [288x - 8x³/3] at x = 6 = 1152*19600π Joules = 22579200π joules = 70963200j

Total work required = 70.9 * 10⁶ joules

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Answer: the answer is the second one :)

Step-by-step explanation:

The net is shown in the picture that can used to calculate surface area shaded.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We know that kite is quadrilateral, having:

As we have given that, Ella is making a kite in the shape of a triangular prism, but with both ends open.

Thus, the net is shown in the picture that can used to calculate surface area shaded.

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the equation of the new function is:

\(g(x) = 2^{x - 5} - 7\)

We have a function:

\(f(x) = 2^x\)

And we want to shift it five units to the right, and seven units down, then the new function will be:

\(g(x) = f(x - 5) - 7\)

If we now replace f(x), we get:

\(g(x) = 2^{x - 5} - 7\)

That is the equation of the new function.

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a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

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Answer:

r = 1 yard

Step-by-step explanation:

Volume of a cylinder is   endcap area  ( which is pi r^2)  times the height

pi r^2 h = volume

3.14 ( r^2) (2) = 6.28

 r = 1 yard

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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The ways to translate the figure include:

It doesn't change its orientation.

It also doesn't change its size or shape.

When a geometric figure glides up, down, left, or right on the coordinate plane, this is referred to as translation. The figure changes its location but not its orientation. It also retains its size and shape. When you translate a figure, you slide it left or right, up or down.

When you translate a figure, you slide it left or right, up or down. This indicates that the coordinates for the figure's vertices will vary on the coordinate plane. To graph a, make the same modification at each point. The variations in coordinates of a reflection can be used to identify it.

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Answer:

theres no picture.

Step-by-step explanation:

Answer:

C) -0.89 i think

Step-by-step explanation:

Answer:

311 fl oz only were used, that is what I got for your answer..

The answer is 49 fl oz

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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Answer:

x = ±√89-30 cos(55) (everything is under the radical)

and then plug the radical into a calculator and you get two answers:

x1= -9.39873

x2=9.39873

Step-by-step explanation:

i hope this helped :)

Answer:

put the problems ans i can help u

Answer:

Tanisha = 14 years

Ana = 7 years

Elicia = 16 years

Step-by-step explanation:

Let T = age of Tanisha

Let A = age of Ana

Let E = age of Elicia

Tanisha is twice as old as Ana:  

T = 2A

⇒ A = (1/2)T

Elicia is 2 years older than Tanisha:

E = 2 + T

Sum of all their ages is 37:

A + E + T = 37

Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:

⇒ (1/2)T + 2 + T + T = 37

⇒ (5/2)T = 35

⇒ T = 14

If T = 14, then

A = (1/2)T = (1/2) 14 = 7

If T = 14, then

E = 2 + T = 2 + 14 = 16

The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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The average T2, T7, T6, T4, and T10 in Processor 1

T8, T9, T3, T1, and T5 on Processor 2.

Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.

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