Members of a baseball team raised $1479.25 to go to a tournament. They rented a bus

for $800.50 and budgeted $45.25 per player for meals. Write and solve an equation

which can be used to determine p, the number of players the team can bring to the

tournament.

PLEASE HELP FAST ITS FOR A TEST

Answers

Answer 1

Answer:

The equation is: [tex]800.5 + 45.25p \leq 1479.25[/tex]

The team can bring at most 15 players to the tournament.

Step-by-step explanation:

They rented a bus for $800.50 and budgeted $45.25 per player for meals.

This means that the cost for bringing p players is given by:

[tex]C(p) = 800.5 + 45.25p[/tex]

Members of a baseball team raised $1479.25 to go to a tournament.

This means that:

[tex]C(p) \leq 1479.25[/tex]

So

[tex]800.5 + 45.25p \leq 1479.25[/tex]

[tex]45.25p \leq 1479.25 - 800.5[/tex]

[tex]p \leq \frac{1479.25 - 800.5}{45.25}[/tex]

[tex]p \leq 15[/tex]

The team can bring at most 15 players to the tournament.


Related Questions

you have $63.50. you earn additional money by raking leaves. you purchase a sweatshirt $44.99 and you have $53.51 left. how much money did you earn raking leafs?

Answers

$93.50 is the answer

Need help with this one:)

Answers

Answer:

1024 sq inches

Step-by-step explanation:

Surface area is the area of all added together.

So: 2(24 * 10 + 10 * 8 + 24 * 8)

2(240 + 80 + 192)

Answer: 1024

Please help and look at the others

Answers

Answer:

no

Step-by-step explanation:

pls give brainliest :)

Not even close. 5/3 to 8/9

Keep em coming

gracias espero que esto ayude

3. People with type O-negative blood are universal donors (any patient can
receive a transfusion of O-negative blood). Only about 6.6% of the American
population has O-negative blood. If 270 unrelated people give blood in a certain
week, how many of these people do we expect to be universal donors? (Hint:
Remember to convert percent numbers to decimals before multiplying.)
PLEASE HELP

Answers

Answer:

We expect 17.82, that is, approximately 18 people to be universal donors.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Only about 6.6% of the American population has O-negative blood.

This means that [tex]p = 0.066[/tex]

If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?

This is E(X) when [tex]n = 270[/tex]. So

[tex]E(X) = np = 270*0.066 = 17.82[/tex]

We expect 17.82, that is, approximately 18 people to be universal donors.

8. A bakery is collecting data to investigate how changing the price charged for a loaf of bread
affects the bakery's daily profit. The graph shows the data the bakery has collected.
Bread Price vs. Daily Profit
1000
800
600
.
Daily Profit (Dollars)
.
.
400
.
.
200
0
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00
Price for One Loaf of Bread (Dollars)
Which quadratic function is the BEST model for the data?
A
8(1-4) - 800
В.
86
4) - 800
С
20001 - 1) --- 800
D
3000
4)- 800

Answers

The function that best models for the data is y = -200 (x-4)^2 + 800.

What is a function?

A function is a mathematical expression that describes how factors are related. In this case, how the price is related to the profit.

How to determine if a function models the data?

The best way to determine this is to solve the expression and verify if the answer is correct.

For example, we know that at 4 (x) dollars, the daily profit is $800 (y). Let's now the different options:

A.

y= -8 (x+4)^2 + 800y= -8 (4+4)^2 + 800y= -8 (8)^2 + 800y= -8 (36) + 800y=-8  (288) + 800y= -2304 + 800y= -1504

B.

y= -8 (x-4)^2 + 800y= -8 (4-4)^2 + 800y= -8 (0)^2 + 800y= -8 (0) + 800y= 0 + 800y= 800

C.

y= -200 (4+4)^2+ 800y= -200 (8)^2 + 800y= -200 (36)  + 800y= -200 (36)  + 800y= -7200 + 800y= -6400

D.

y= -200 (x-4)^2 + 800y= -200 (4-4)^2 + 800y= -200 (0)^2 + 800y= -200 (0) + 800y= 0 + 800y= 800

This means B and D are possible options, however, when verified with other results such as $6 the correct one is option D.

Learn more about bakery in: https://brainly.com/question/16421624

The quadratic equation is given by y = -200x² + 1600x - 2400.

Quadratic equation formula

The standard form of the quadratic equation is:

y = ax² + bx + c

Where a,b,c are constants.

Let y represent the daily profit for x bread price.

At point (2, 0):

0 = a(2)² + b(2) + c

4a + 2b + c = 0    (1)

At point (4, 800):

800 = a(4)² + b(4) + c

16a + 4b + c = 800    (2)

At point (6, 0):

0 = a(6)² + b(6) + c

36a + 6b + c = 0    (3)

From all the equations:

a = -200, b = 1600, c = -2400

The quadratic equation is given by y = -200x² + 1600x - 2400.

Find out more on quadratic equation at: https://brainly.com/question/1214333

PLS HELP.I WILL MARK BRAINLIEST!!

Answers

Answer:

Answer in attachment photo

There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total of 16 chips complete the tape diagram showing the number of chips in each box.

Answers

Answer:

2 in each box of course

g= green chips       r= red chips

3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

Find the value of x
NEED HELP ASAP PLS NO FILE DROPS OR I WILL REPORT THANKS

Answers

Answer:[tex]x=15[/tex]

Step-by-step explanation:

Angles that are opposite from each other are going to be the same in this case.

Let's plug in 15 into x

[tex]4(15)+8\\60+8\\68[/tex]

Evaluate the expression if a = -2, b= 7. and c= -3
ac + b=

Answers

Answer:

13

Step-by-step explanation:

plug in the numbers

-2(-3) + 7 = ?

6 + 7 = ?

13

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Find the area of the figure.

Answers

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

16+10+10+36

Answer:36


what is 33x2+3 who wants to zo om

Answers

Answer:

33x2=66

66+3=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69

Pls help me on this due in 10 mins

Answers

Answer:

A, E, G

Step-by-step explanation:

Answer:

A

E

G

Step-by-step explanation:

When you divide A, E, and G with the common factor, they all equal 5 : 9

so 29 is a monomial also​

Answers

Answer:

yes, 29 is a monomial

Step-by-step explanation:

the sum of three times the square of a number and -7

Answers

Answer:

3x² - 7

Step-by-step explanation:

3 times (number squared) and sum with (-7)

3 times x² and add (-7)

3x²  + (-7)

3x²  -  7

E is directly proportional to f.it E is 24 then f is 6 what is E when f is 24​

Answers

Answer:

E = 96

Step-by-step explanation:

Given the following data;

E = kf .......equation 1.

When E = 24, f = 6

First of all, we would have to find the constant k;

Substituting the values into eqn 1, we have;

24 = k6

k = 24/6

k = 4

To find the value of E, when f = 24

E = kf

Substituting into the equation, we have;

E = 4*24

E = 96

please help!!! thank you!!!

Answers

uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...

write a multiplication equation and a division equation that represents the question how many 3/8 are in 5/4​

Answers

Answer:  3

Step-by-step explanation: double the 5 and the 4(to have the same denominator as the 8)

Find the area of the region enclosed by the graphs of these equations. (CALCULUS HELP)

Answers

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsGraphingExponential Rule [Root Rewrite]:                                                                   [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

Set y = 0:                                                                                                         0 = √(15 - x)[Equality Property] Square both sides:                                                          0 = 15 - x[Subtraction Property of Equality] Isolate x term:                                         -x = -15[Division Property of Equality] Isolate x:                                                        x = 15

G

Set y = 0:                                                                                                         0 = √(15 - 3x)[Equality Property] Square both sides:                                                          0 = 15 - 3x[Subtraction Property of Equality] Isolate x term:                                         -3x = -15[Division Property of Equality] Isolate x:                                                        x = 5

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Rewrite Area of Region Formula [Integration Property - Subtraction]:     [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx - \int\limits^d_c {g(x)} \, dx[/tex][Integral] Substitute in variables and limits [Area of Region Formula]:     [tex]\displaystyle A = \int\limits^{15}_0 {\sqrt{15 - x}} \, dx - \int\limits^5_0 {\sqrt{15 - 3x}} \, dx[/tex][Area] [Integral] Rewrite [Exponential Rule - Root Rewrite]:                       [tex]\displaystyle A = \int\limits^{15}_0 {(15 - x)^{\frac{1}{2}}} \, dx - \int\limits^5_0 {(15 - 3x)^{\frac{1}{2}}} \, dx[/tex]

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

[Area] Rewrite [Integration Property - Multiplied Constant]:                       [tex]\displaystyle A = -\int\limits^{15}_0 {-(15 - x)^{\frac{1}{2}}} \, dx + \frac{1}{3}\int\limits^5_0 {-3(15 - 3x)^{\frac{1}{2}}} \, dx[/tex][Area] U-Substitution:                                                                                   [tex]\displaystyle A = -\int\limits^0_{15} {u^{\frac{1}{2}}} \, du + \frac{1}{3}\int\limits^0_{15} {z^{\frac{1}{2}}} \, dz[/tex][Area] Reverse Power Rule:                                                                         [tex]\displaystyle A = -(\frac{2u^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15} + \frac{1}{3}(\frac{2z^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15}[/tex][Area] Evaluate [Integration Rule - FTC 1]:                                                   [tex]\displaystyle A = -(-10\sqrt{15}) + \frac{1}{3}(-10\sqrt{15})[/tex][Area] Multiply:                                                                                               [tex]\displaystyle A = 10\sqrt{15} + \frac{-10\sqrt{15}}{3}[/tex][Area] Add:                                                                                                     [tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

(30)Points
Which Statement is true
A,
B.
C.
D.

Answers

Answer:

The first answer one is true

Assume that each time a metal detector at an airport signals, there is a 25% chance that the cause is change in the passenger's pocket. During a given hour, 15 passengers are stopped because of a signal from the metal detector. a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets. b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket

Answers

Answer:

a) 0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) 0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Step-by-step explanation:

For each passenger, there are only two possible outcomes. Either they will have been stopped due to a change in the pocket, or not. Passengers are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A measure is considered unusual if it is more than 2.5 standard deviations of the mean.

25% chance that the cause is change in the passenger's pocket.

This means that [tex]p = 0.25[/tex]

During a given hour, 15 passengers are stopped because of a signal from the metal detector.

This means that [tex]n = 15[/tex]

a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets.

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{15} = 0.0134[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{14} = 0.0668[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{13} = 0.1559[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0134 + 0.0668 + 0.1559 = 0.2361[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.2361 = 0.7639[/tex]

0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket

First we find the mean and the standard deviation:

[tex]E(X) = np = 15*0.25 = 3.75[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.25*0.75} = 1.68[/tex]

3.75 - 2.5*1.68 = -0.45

0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

HELP ITS TIMEDDDDDDDDDDDDDDDDD

Answers

Answer:

100

Step-by-step explanation:

The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?

Answers

Answer:

53 feet.

Step-by-step explanation:

2(Width)+2(Length)=Perimeter

--> 2(43)+2(Length)=192

--> 86+2(Length)=192

--> 2(Length)=106

Length = 53

Question 3 (5 points)

(02.01 MC)

Which of these is a positive externality of carpooling with friends to work?

оа

Reduced commute time

Ob

Reduced driving focus

Ос

Reduced traffic on the road

Od

Reduced time to socialize

Answers

Answer:

reduced traffic on the road

Step-by-step explanation:

just took the test :)

Answer: C) Reduced traffic on the road

Step-by-step explanation: Ive taken this test

What is the probability of getting a vowel if you randomly pick a letter from the English alphabet?

Answers

60% because theres 6 vowels

PLEASE HELPPPPPPPP !!!!!!!!!!!!!!1

Answers

Answer:

-8.45, 0.95, 8.25

Step-by-step explanation:

The easiest way to do this is to convert the fraction to a decimal, and then compare the values.

8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.

Now, let's compare values.

Numbers we need to compare: -8.45, 0.95, 8.25

The smallest number is -8.45, then 0.95, and lastly, 8.25.

Thus the answer is

-8.45, 0.95, 8.25

WILL GIVE BRAINLIEST PLEASE HELP: In rectangle ABCD the diagonals intersect each other at point O and m ABD = 30 degrees. Find BC if AC = 16 in.

Answers

Answer:

8

Step-by-step explanation:

We know that ABD is 30 degrees. To find BC, we need to use sin.

Equation:

BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.

BC = 16*0.5

BC = 8

Sorry, I couldn't find an image.

Hope this helps!

PLS HELP WILL GIVE BRAINIEST Which triangle makes this statement true?

Answers

C. Triangle KLN
It has the same measurements as the triangles presented

Find the 9th term of the geometric sequence 8, 32, 128, ...

Answers

Answer:

524,288

Step-by-step explanation:

Hope this helps!

Round to the nearest hundredth 94.855

Answers

Answer: 94.86

Your welcome :)

2x+ 20 + 3x +40 =
60 + 5X

Answers

First answer: 160
Second answer: 300
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