A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to meet its goal?

Answer:

21

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = x / 7 sqrt(3)

7 sqrt(3)  tan 60 = x

7 sqrt(3) sqrt(3) = x

7*3 = x

21 = x

The difference between the balance at the current savings amount versus adding an additional $65.00 each month is $1560.

Given that, principal = $4,778.00 and annual simple interest = 1.8%

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100.

First, find the simple annual interest earned:

Now, simple interest = (4,778.00×1.8×2)/100

= 17200.8/100

= $172.008

The total amount in the savings account at a savings rate of $280 per month is:

= Principal + Simple interest + total monthly deposit

= 4,778.00 + 172.008 + ( 280 × 12 months per year × 2 years)

= 4,778.00 + 172.008 + 6720

= $11670.008

The total amount in the savings account at a savings rate of (280 + 65) per month is:

= 4,778.00 + 172.008 + ( 345 × 12 months per year ×  2 years)

= 4,778.00 + 172.008 + 8280

= 13230.008

So, the difference is

= 13230.008 - 11670.008

= $1560

Therefore, the difference between the balance at the current savings amount versus adding an additional $65.00 each month is $1560.

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The required simplified solution is as follows,
(A) 5x + 5h - 5  (B) 5h  (C) 5x - 5hx -5

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

f(x) = 5x - 5

​(A) f(x+h)
Put x + 5 in place of x in f(x)
f(x + h) = 5 (x + h) - 5
           = 5x + 5h - 5

Sinilarly,

​(B) f(x+h)−f(x)
f(x+h)−f(x) = 5 (x+ h) - 5 - 5x + 5
f(x+h)−f(x) = 5h

​(C) f(x+h)−f(x)h
f(x+h)−f(x)h = 5 (x+ h) - 5 - 5hx + 5h
                  = 5x + 5h - 5 - 5hx + 5h
                  = 5x - 5hx -5

Thus, the required solution has been mentioned above.

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The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

0.07%

Explanation:

I helped somebody else with the same question! haha

The required angle 1 between the side and diagonal of a square is approximately 45 degrees.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Let's assume that the length of one side of the square is 'a'.

Then the length of the diagonal of the square is given by the Pythagorean theorem:

d² = a² + a² = 2a²

d = a * √(2)

To find the angle between the side and the diagonal, we can use the cosine function:

cos(Ф) = adjacent/hypotenuse = a / (a * √(2))

cos(Ф) = 1 / √(2)

Ф= cos⁻¹(1/√(2))

Ф≈ 45°

Therefore, the angle between the side and diagonal of a square is approximately 45 degrees.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

area of rectangle= l*b

2and 2/3  * 7 and 3/4

8/3 * 31/4

62/3 sq . feet

20 and 2/3 feet

Answer:

To find the percentage of games won by the school, you can divide the number of games won by the total number of games played, and then multiply by 100.

In this case, the school won 15 games and lost 25 games, for a total of 15 + 25 = 40 games played.

So, to find the percentage of games won, you would do:

(15 / 40) x 100 = 37.5%

So, the St. Paul High School basketball team won 37.5% of their games last season.

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The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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Answer: B

Step-by-step explanation:

1/9(3)^x

(3)^(5) = 243

243(1/9) = 27

Hope this helps :)

Darren needs approximately 49 feet of tape.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

P = 2(L + W)

P = 2(10 + 8)

P = 2(18)

P = 36 feet.

In Mathematics and Geometry, the perimeter of a semicircle can be calculated by using this mathematical equation:

P = 2(π × radius)

P = 2(3.14 × 8/4)

P = 2(6.28)

P = 12.56 feet.

Approximate length of tape = 12.56 feet + 36 feet

Approximate length of tape = 48.56 ≈ 49 feet.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

Answer:

841

Step-by-step explanation:

If the number is divided by 4 and the remainder is 1, the last digit must be 1, 3, 5, 7 or 9.

If the number is divided by 5 and the remainder is 1, the last digit must be 6 or 1.

So we already know the last digit must be 1.

The numbers between 800 and 900, with last digit 1, that divided by 6 have a remainder of 1 are:

811, 841, 871

The numbers between 800 and 900, with last digit 1, that divided by 7 have a remainder of 1 is just 841

So Tommy's number is 841.

Tommy's number is 841.

In this question we must determine first the least common number of 4, 5, 6 and 7, which is the product of these four numbers, that is to say:

\(x = 4\times 5\times 6 \times 7\)

\(x = 840\)

This is the least number that is divisible both for 4, 5, 6 and 7. Now we add this number by 1 to determine what number Tommy thought:

\(y = x + 1\)

\(y = 841\)

Tommy's number is 841.

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Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

Answer:

Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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Answer:

Solution given:

<3+90=180°[co interior angle]

<3=180-90

<3=90° is a required answer.

It is more closer to 3.

                                              \(Explanation\)

___________________________________________________________

\(1.\) Find the square root of 8.

√\(8= 2.8\)

\(2.\) Figure out if 2.8 is closer to 2, or 3.

2.8 is closer to 3 than 2.

area of n sided polygon  inscribed in a circle is

A = (1/2)nr²sin(360/n)    (r = radius of circle)

A = (1/2)12*8²*sin30

   = 1/2*12*64*1/2

A  = 192  square unit

200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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In the given problem, by setting up an inequality, the two possible amounts of change are 53p and 67p.

Let's call the cost of the pie "x". Since it is somewhere between £1.30 and £2.99 and is an exact number of pence after adding a 24% tip, we know that:

1.3 <= x <= 2.99 (in pounds)

100x*1.24 is an integer (in pence)

We can simplify the second condition by multiplying both sides by 100 and dividing by 124:

100x is a multiple of 100/124 = 25/31 (in pence)

So we know that x must be a multiple of 25/31 pence, and it must be between 130 and 299 pence. We can write this as:

130 <= 25n/31 <= 299

where n is an integer.

Multiplying both sides by 31 and dividing by 25, we get:

162.8 <= n <= 237.2

Since n must be an integer, the possible values for n are 163, 164, ..., 237.

For each possible value of n, we can calculate the cost of the pie, the total price with tip, and the amount of change we would receive if we paid with a £5 note. We can then check whether we receive exactly 5 coins as change.

For example, if n = 163, then:

100x = 25n = 4075

x = £40.75

total price with tip = £50.57

change = £5.00 - £50.57 = £0.43 = 43p

43p can be given as 20p + 20p + 2p + 1p, so we receive 4 coins in this case.

Similarly, we can check all the other possible values of n and find that there are two values of change that we could receive:

53p (25p + 20p + 5p + 2p + 1p)

67p (50p + 10p + 5p + 2p)

Therefore, the two possible amounts of change are 53p and 67p.

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Answer:

pink 7   1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Simplest form: 163/60

Decimal form: 2.7166666666-

Mixed Number form: 2 43/60

Step-by-step explanation:

Hope this helps!!

Answer: 2  7/10

Step-by-step explanation:

First, you need to find a common denominator which is 60.

because 10 x 6 = 60 and 12 x 5 = 60

then you have to multiply the number you multiplied to get 60.

So, it would be 25/60 + 138/60 = 163/60

163/60 can be simplified to 2 43/60 which is again simplified to 2  7/10.

Answer:

\(XY=52\\\\YZ=79\\\\XY=131\)

Step-by-step explanation:

The line segment would like something like so:

X--------------------------Y---------------------------Z

The segment addition postulate says that x------y + y-------z = x-------y--------z

You are given the following measures for each:

            5x-3                         8x-9

X--------------------------Y---------------------------Z

|______________131______________|

You now need to substitute this in for the postulate:

\(XY=5x-3\\\\YZ=8x-9\\\\XZ=131\\\\XY+YZ=XZ\\\\(5x-3)+(8x-9)=131\)

Simplify the equation to solve for the value of x. Remove the parentheses:

\(5x-3+8x-9=131\)

Combine like terms to simplify the equation (make sure to keep the symbol of a term the same when combining. For example, since the negative symbol is in front of the three, it will be -3):

\(5x+8x-3-9=131\\\\13x-12=131\)

Use inverse operations. Add 12 to both sides:

\(13x-12+12=131+12\\\\13x=143\)

Use inverse operations to isolate the variable. Divide both sides by 13:

\(\frac{13x}{13} =\frac{143}{13} \\\\x=11\)

Now that we know the value of x, we can insert its value into each given length to simplify:

\(XY=5x-3\\\\XY=5(11)-3\\\\XY=55-3\\\\XY=52\)

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

\(YZ=8x-9\\\\YZ=8(11)-9\\\\YZ=88-9\\\\YZ=79\)

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

To make sure the values are true, insert them into the postulate:

\(52+79=131\\\\131=131\)

Since the equation is true:

              52                            79

X--------------------------Y---------------------------Z

|______________131______________|

:Done

a. The amplitude is 12m, the midline is 13m, and the period of h (t) is 16 minutes.

a. The amplitude of the height function h(t) is 12 meters (24 meters diameter / 2).

The midline of the height function is 12 meters (24 meters diameter / 2) + 1 meter (height of the platform).

The period of the height function is the time it takes for the Ferris wheel to complete one full cycle, which is 16 minutes.

b. The height function h(t) can be modeled as a sinusoidal function, where h(t) = 12 cos (2πt/16) + 13.

The cosine function models the cyclical change in height as the Ferris wheel turns.

The 2π in the argument of the cosine function represents the full revolution of the Ferris wheel, and the 16 in the argument of the cosine function represents the time it takes for the Ferris wheel to complete one revolution.

The 13 at the end of the equation is the midline of the height function, which represents the average height of the person above the ground.

c. To find the height of a person after 52 minutes, we substitute t = 52 into the height function h(t) = 12 cos (2πt/16) + 13:

h(52) = 12 cos (2π x 52/16) + 13

h(52) = 12 cos (13π) + 13

h(52) = 12(-1) + 13

h(52) = 1 meter

So, a person would be 1 meter above the ground after 52 minutes.

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Answer:

A = 1/2 b*h

A = 24

b = 8

h = ?

24 = 1/2 * 8 * h

24 = 4h

h = 6

The height is 6 cm.

Hope this helps.