Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.

A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.

Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.

Answers

Answer 1

Answer:69

Step-by-step explanation:

A) $16

B) p(x) = 16x -800

C) 69 ticketsn:

A) The total of expenses is ...

$280 +100 +20 +400 = $800

If this is covered by 50 tickets, then a ticket must provide revenue of ...

$800/50 = $16

The cost per ticket is $16.

__

B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...

p(x) = 16x -800

__

C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...

p(x) ≥ 300

16x -800 ≥ 300 . . . . . use the expression for p(x)

16x ≥ 1100 . . . . . . . . . add 800

x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)

In order to raise at least $300, the number of tickets sold must be at least 69.


Related Questions

what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction

Answers

Answer: The answer is A

Step-by-step explanation:

A/4x+B/x+7

The correct form of the partial fraction decomposition for the given expression is Option A

What is Partial Fraction Decomposition ?

Partial Fraction Decomposition is the method of simplifying rational expressions.

The expression given is

[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]

Applying Partial Decomposition

[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]

It can be written as

[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]

Therefore Option A is the answer.

To know more about Partial Factor Decomposition

https://brainly.com/question/2516522

#SPJ2

Plz help me giving branliest. I need help with both

Answers

Answer:

The first one is 30

The second one is 20

Step-by-step explanation:

30 and 20 the answers..

the greatest common factor of 9w2 and 10w4.

Answers

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2

below are two parallel lines with a third line intersecting them.​

Answers

Answer:

x = 136

Step-by-step explanation:

x and 44 are supplementary angles which mean they add up to 180:

x + 44 = 180

x = 180 - 44

x = 136

A spinner with two equal sectors is spun 5 times.

What is the number of possible outcomes?

Answer: 32
Explanation: 2^5

Answers

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

You deposit $100 in your bank account. The account earns 2% simple interest in 5 years. How much interest did you earn?

Answers

Answer is $110.4080803 or $110.41 rounded

19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?

Answers

Answer:

First we have the function f(x) = 27*x  - 67.5

It has an x-intercept at (a, 0)

This means that:

f(a) = 0 = 27*a - 67.5

Solving the above equation we can find the value of a.

0 = 27*a - 67.5

67.5 = 27*a

67.5/27 = a = 2.5

Now let's look at equation g(x).

It is a linear equation, remember that a linear equation can be written as:

g(x) = y = A*x + B

Where:

A is the slope, and B is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:

A = (y₂ - y₁)/(x₂ - x₁)

In this case we can select any two points from the table, for example, I will use the second and third points:

(1, 39) and (2, 32.5)

Then the slope is:

A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5

Then the equation is something like:

g(x) = y = -6.5*x + B

B is the y-intercept, to find this value, we can use one of the two points we used before.

For example, (1, 39) means that g(1) = 39

Then:

g(1) = -6.5*1 + B = 39

     = B = 39 + 6.5 = 45.5

Then the equation for g(x) is:

g(x) = -6.5*x + 45.5

Now, we know that g(x) has an x-intercept at (b, 0)

this means that:

g(b) = 0 = -6.5*b + 45.5

6.5*b = 45.5

b = 45.5/6.5 = 7

Then the difference between b and a is:

b - a = 7 - 2.5 = 4.5

b is equal to a plus 4.5

And the ratio is:

b/a = 7/2.5 = 2.8

b is 2,8 times larger than a.

The net below is used to form a rectangular prism. Using the net, determine the surface area of the figure.
7 cm
7 cm
7 cm
7 cm
26 cm

Answers

Step-by-step explanation:

54 because you add 7+7+7+7+26=54

X - 2y = -3
2x + y = -1

Answers

Answer:

y = 1

x = -1

Step-by-step explanation:

x - 2y = -3, then x = 2y - 3

2x + y = -1

substitute for x:

2(2y - 3) + y = -1

4y - 6 + y = -1

5y = 5

y = 1

x = 2 - 3 = -1

Answer:

it can only be simp[lified

so it will be

(x+2x)+(y+2y)=-3-1

3x+3y=-4

cannot be solved further

Step-by-step explanation:

Find the surface area of the rectangular prism.
5 in.
7 in
4 in.

Answers

Answer:

A=166

that's all can calculate

Claim shape a is a rectangle please help

Answers

Answer:

ummkmmmm

Step-by-step explanation:

Answer:

No, the shape is not a rectangle.

Step-by-step explanation:

A rectangle is a 2-dimensional shape with two sets of parallel sides and four right angles. Shape a has both sets of parallel sides, but the corners of the figure are not right angles. It is a rhombus. So, the answer is no, the shape is not a rectangle.

Good luck ^^

The building on Daughtery road are even numbered from 12-136. How many buildings have an address with at least one 4?

Answers

Answer:

Total 22 buildings have at least one 4 in their address

Step-by-step explanation:

Number between 12 to 136 are as given below -

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

Total numbers having at least 1 four are

14

24

34

40

41

42

43

44

45

46

47

48

49

54

64

74

84

94

104

114

124

134

Total 22 buildings have at least one 4 in their address

do the step by step process thank u soooooo much

Answers

Answer:

Surface area: 199.27 cm

Volume: 129.8 cm³

Step-by-step explanation:

The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours.



About how long will it take Ramon to read the entire novel if he continues to read at his current rate? ROUND TO THE NEAREST WHOLE NUMBER.

Answers

Answer:

17 hours

Step-by-step explanation:

so first since there are 520 pages we divide it by 124 pages we get 4.19

4.19x4 = 16.77

Rounded is 17

Girrls and boys plsss i need help like frl:)

Answers

D- Most babysit because it pays more per-hour.

The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.

Hope this helps!

Have a great day!

- Hailey

The dimensions of a rectangular piece of paper are 10.5 inches and 10 inches Ben Folds a piece of paper along its diagonal find the length of the diagonal in inches

Answers

Answer:

14.5

Step-by-step explanation:

The diameter of a circle is 14 ft.
What is the area of the circle in terms of π?

Answers

Answer:

49π ft²

Step-by-step explanation:

[tex]A=\pi r^2[/tex] where r is the radius of the circle

To find the radius, divide the diameter by 2:

14 ft ÷ 2 = 7 ft

Plug the radius 7 ft into the equation

[tex]A=\pi (7)^2\\A=49\pi[/tex]

Therefore, the area of the circle in terms of pi is 49π ft².

I hope this helps!

Answer:

49π

Step-by-step explanation:

Diameter=14

Radius=14/2=7

Area=πr squared

Area=7 squared π

Area=49π

Help me with this, will give brainlist to best explained asnwer

Answers

Answer:

I'd say the mode, 21, is the best response. It appears the most frequently and it's also the median.

Explanation:

Mean: 115 / 5 = 23

Median: 19, 21, 21, 26, 28

Mode: 19, 21, 21, 26, 28

plsss help lollll :)))

Answers

Answer:

Step-by-step explanation:

V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure

please help! will give brainliest. review the graph of function h(x). what is lim x-2 h(x), if it exists

Answers

Answer:

the answer is 0 or a

Jackson earns $17 per hour tutoring students in math. Which equation and solution shows how many hours he has to work to earn $476?

Answers

Answer:

476 ÷ 17 = 28

Step-by-step explanation:

$17 an hour is multiplication. so, just do the opposite.

476 ÷ 17.

~R3V0

Write an equivalent expression using Distributive property.
28 + 42
( How did you solve)

Answers

Answer:

the answer is 7(4 +6)

Step-by-step explanation:

24 + 42

7(4 + 6)

can someone help me?

Answers

Answer:

You would have 4 nickels and 10 dimes.

4 x 0.05 = 0.20
10 x 0.10 = 100 ($1.00)
$1.00+$0.20=$1.20

Answer: She has 6 nickles and 9 dimes.

Step-by-step explanation:

Let n be the # of nickles. Let d be the # of dimes.

n+d=15

0.05n + 0.1d =1.2

5n+10d=120

5(15-d)+10d=120

75-5d+10d=120

5d=45

d=9

n=15-d

n=15-9

n=6

PLEASE HELP MEEEEEEE!!!!

Answers

The median is the middle number in a sorted, ascending or descending.

I believe that the answer is A.

I hope this helps!

2,2,4,5,5,6,6,8
Median is 5

If 10 is added
2,2,4,5,5,6,6,8,10
Median is 5

Answer:a

I. Daska is situated at a distance of 15 miles from both Gujranwala and Sialkot. A bus travels from Gujranwala to Daska at an average speed of 25 miles per hour, from Daska to Sialkot at an average speed of 40 miles per hour and returns to Daska at an average speed of 30 miles per hour. Find the average speed for the entire trip.

Answers

Answer:

The average speed of the entire trip is 8.5 miles per hour.

Step-by-step explanation:

Speed = Total  Distance / Total Time

So we have to find the total distance and the total time taken .

1) From Gujranwala to Daska

speed= 25miles/hour           distance = 15miles

Time taken = distance / speed

                   = 15/25= 0.6 hours

2)  From Daska to Sialkot

speed= 40miles/hour           distance = 15miles

Time taken = distance / speed

                   = 40/15= 2.67 hours

3 ) From  Sialkot to Daska

speed= 30miles/hour           distance = 15miles

Time taken = distance / speed

                   = 30/15= 2 hours

The total distance traveled to three places is = 15+ 15+15= 45miles

The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours

Speed = Total  Distance / Total Time

Speed= 45/ 5.3

          = 8.49=8.5 miles per hour

The average speed of the entire trip is 8.5 miles per hour.

There is a line that includes the point (4, 1) and has a slope of 1/4. what is its equation in
slope-intercept form?

Answers

Answer:

y=1/4x

Step-by-step explanation:

y=mx+b

m=1/4

so, y=1/4x+b

Now, look at our line's equation so far: . b is what we want, the 1/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,1).

So, why not plug in for x the number 4 and for y the number 1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,1). y=mx+b or 1=1/4 × 4+b, or solving for b: b=1-(1/4)(4). b=0.

y=1/4x+0

Thank you to anyone who answers .

Answers

Answer:

B: 33 3/4

Step-by-step explanation:

Isla wants to solve the equation 2.5x – 1.75 = 5(7 – 0.5x).

She uses a graphing program to graph the equations y = 2.5x – 1.75 and y = 5(7 – 0.5x).

Use the graph to find the solution of 2.5x – 1.75 = 5(7 – 0.5x).

Answers

Answer:

7.35

Step-by-step explanation:

If you solve the equation

2.5– 1.75 = 5(7 – 0.5)

Then...

x=7.35

Answer:

7.35

Step-by-step explanation:

Whoever gives an answer first gets Brainliest

Answers

Answer:

answer to what?

Step-by-step explanation:

Answer:

Thanks mate n.n

Have a good one !

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