Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.

Answers

Answer 1

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n


Related Questions

7925 divided by 25 can you help

Answers

Answer:

317

Step-by-step explanation:

hope this helped:))))))

Answer:317Step-by-step explanation:25 x 317 = 7925Hope this helps!!

An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000?

The answer is 32, I need an explanation how to find the answer.

Answers

B) 32

Explanation:

let H = number of expensive high price stereo

systems

let L = number of less expensive low price

stereo systems

H +L = 50 =

3,000H + 80OL = 110,000

H = 50 - L (now replace)

3,000 (50 - L) + 800 L = 110,00

150,000 - 3,000L + 800L = 110,000

150,000 - 110,000 = 3,000L - 800L =

40,000 = 2,2OOL

L = 40,000 / 2,200 = 18.18 = 18 lower priced = =

stereo systems H = 50 - 18 = 32 higher priced stereo systems

=

=

(3,000 x 32) + (800 x 18) = 96,000 + 14,400 = 110,400

Even though the answer is not exact, if you had 33 high cost stereo systems, your inventory's cost = $112,600 which is $1,600 off

(3 X 10^2) (3 X 10^3)
Answer pls

Answers

300 is the first one I think

Answer:

900000

Step-by-step explanation:

= (3 x 10 ^ 2) (3 x 10 ^ 3)

= (3 x 100) (3 x 1000)

= (300) (3000)

= 900000

HOPE THIS HELPS

PLZ MARK BRAINLIEST

hi everyone,can someone help me find what -1+(-3)?​

Answers

Answer: -4 is the answer

Step-by-step explanation: google caculator

Answer:

-4

Step-by-step explanation:

if you add 2 negatives it will be a negative

Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coefficient of x k in (x+1/ x) n .

Answers

9514 1404 393

Answer:

  (a) -29,884,416

  (b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ

Step-by-step explanation:

(a) The coefficient of the k-th term of the expansion is ...

  C(20,k)(3x)^(20-k)(-2y)^k

For k=19, this is ...

  19(3x)(-2y)^19 = -29,884,416xy^19

The coefficient of the term is -29,884,416.

__

(b) The p-th term of the expansion of (x +1/x)^n is ...

  C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))

For some exponent k of x, the value of p will be ...

  k = n -2p

  p = (n -k)/2

Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).

You will notice that there will only be a term x^k for k having the same parity as n.

Plz help it would mean a lot

Answers

Answer:

proportional/equal

Step-by-step explanation:

doesnt need

1. Vocabulary Define opposites.​

Answers

Answer:

Opposite means: im going to do something but in "reverse" like opposite day.

Step-by-step explanation:

Write 2/3 as a decimal and round to 3 significant figures

Answers

Answer:

0,66

Step-by-step explanation:

You can put it into a calculator, that might be just as helpful and less time-consuming, because 2/3 is the same as 2÷3

Answer:

0.667

Step-by-step explanation:

[tex]\frac{2}{3} =0.6666666666666666[/tex]

determine the size of triangle v show all your steps and give reasons for your statement​

Answers

Answer:

95°

Step-by-step explanation:

since sum of interior angles add upto 180°

2x+3x+5+25°=180°

substituting you get

5x+30°=180°

5x=180-30

5x=150°

therefore divide

you will get x=30°

angle at v =30×3+5

=95°

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function

Answers

Answer: Its a function

Step-by-step explanation:

8x+16-3x+2 how do you get simplifies

Answers

Answer:

5x + 18

Step-by-step explanation:

simplify : 8x - 3x + 16 + 2 = ?

5x + 18 = ?

wait do you want to solve it or just simplify? If it is just simplify, can you mark me brainliest? =)

four ninths minus four tenths

Answers

Answer:

2/45

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

2/45

Step-by-step explanation:

4/9 - 2/5

multiply 4 by 5 and 2 by 9

(20-18)/45  

2/45

Angle W measures 68 degrees more than angle F. Angles Wand
Fare supplementary. What is the measure of angle W?

Answers

Answer: The measure of angle W is 124°.

Step-by-step explanation:

Given: Angles W and  F are supplementary.

We know that the sum of two supplementary angles is 180 degrees.

So, ∠W + ∠F = 180°   (i)

As per given,

∠W = ∠F + 68°   (ii)

Put value of ∠W from (ii) in (i)

∠F + 68°+∠F = 180°  

⇒ 2 ∠F =  180°- 68°

⇒ 2 ∠F = 112°

⇒ ∠F = 56°

From (ii),

∠W = 56° + 68°

⇒ 124°

Hence, the measure of angle W is 124°.

Use the power property to rewrite log3x9.

Answers

Answer:

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]\log _3\:x^9[/tex]

now rewriting the expression

[tex]\log _3\:x^9[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=9\log _3\left(x\right)[/tex]

Therefore,

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Answer:

B

Step-by-step explanation:

edge

A company makes a very durable product. The company sells 20,000 products in the first year but will be diminishing sales due to the product's durability, so each year it can expect to sell only 75% of the quantity it will have sold the year before. How many products can the company expect to eventually sell?

a. 26,667 products
b. 40,000 products
c. 80,000 products
d. 35,000 products

Answers

Answer:

c. 80,000 products

Step-by-step explanation:

Year 1 = 20000

20000 * 0.75 = 15000

Year 2 = 15000

15000 * 0.75 = 11250

Year 3 = 11250

11250 * 0.75 = 8437.5

Etc.

20000 + 15000+ 11250 + 8437.5 = 54687.5

If you continue this, you'll eventually reach 80000

80000 products can the company expect to eventually sell.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

Given,

The company sells 20,000 products in the first year

a=20000

each year it can expect to sell only 75% of the quantity it will have sold the year before

r=75/100=0.75

Sum of Geometric sequence S=a/1-r

S=20000/1-0.75

S=20000/0.25

S=80000

Hence, 80000 products can the company expect to eventually sell.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ5

james is stocking shelves with notebooks. if he has 5 different notebooks, in how many ways can he arrange them on a shelf?

Answers

Answer: 120

Step-by-step explanation: I got it right, hope this helps ✨

Answer:

he has I20 different ways to put the books

Step-by-step explanation:

to solve this you would multiply 5x4x3x2 this is how many different combinations he can but the note book on the shelf. 5x4x3x2 is equal to 120

14. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?
Yoga Studio
Yoga Studio A
Membership 522.00
Monthly Fee $24.50
Membership 547.00
Monthly Fee $18.25

Answers

Answer:

The total cost for  each health club would be the same after 4 months.

Step-by-step explanation:

Answer:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

For studio A:

Membership fee = $22.00

Monthly Fee = $24.50

The equation for studio A:

A = 22 + 24.5x

For studio B:

Membership fee = $47.00

Monthly Fee = $18.25

The equation for studio B:

B = 47 + 18.25x

Let 'x' be the month of membership

We must have to find the value of month or 'x' for which the total cost at each health studio is the same.

i.e. when A = B

Hence, the expression will be

A = B

22 + 24.5x = 47 + 18.25x

Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same

i.e.

22 + 24.5(4) = 47 + 18.25(4)

      22 + 98 =  47 + 73

         120 = 120

so, at x=4 the equations become the same.

Therefore, the total cost for  each health club would be the same after 4 months.

need help on number 12 and 13 please!

Answers

Answer:3/4

4/3

Step-by-step explanation:

it i this

13. Find the slope of any PLZ HELP!!!! 13. Find the slope of any line parallel to the line passing through (1,5) and (-1,0).
a. 5/2
b. 2/5
c. -5/2
d. -5/2

Answers

Answer:

a

Step-by-step explanation:

5- 0 = 5

1- -1 = 2

5/2

The answer might be B. I’m not entirely sure.

Solve
44 - 3 (30 - 22) + 1/2 (66 - 88)

Answers

Answer:

59 1/2

Step-by-step explanation:

first, distribute
44 - 90 - 66 + 33 - 44
now just add/subtract from left to right

-46 - 66 + 33 - 44
-112 + 33 - 44
-79 - 44
-123

the answer is -123

Appropriate Inverse Operation
Which would be used to solve this equation? Check all that apply.
=12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
*
Intro

Answers

Multiplying both sides of the equation by 3 and substituting 4 for p

Hi there~

Divide:

4 1/3 ÷ 1 2/9

Answers

Make them both improper fractions
13/3 divided by 11/9
Divide = multiply reciprocal
13/3 * 9/11 = 117/11 = 10 7/11

i ready algebra help

Answers

Answer:

It is the first one

Step-by-step explanation:

The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?​

Answers

Answer:

b=110 d=70

Step-by-step explanation:

Answer:

110 70

Step-by-step explanation:

C= 5/9(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:is yummy

Step-by-step explanation:1 eat a lot of food. Then you go to the potty. Then you poop and then wipe yourThen you flush the toilet and wash your hands.

A scuba diver is swimming at an elevation of 52 feet below sea level. She sees it'school of fish and rises 16 feet to watch the fish. What is her elevation now?​

Answers

-46

52-16=negative 46 because shes still below sea level

Answer:

36 feet below sea level.

Step-by-step explanation:

if you subtract 52 by 16 you'd get 36. See for yourself.

Branliest to right answer

Answers

Answer
I think it’s the second one but I could be wrong
Explanation

Answer:

the second one

Step-by-step explanation:

Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.

Answers

Answer:

n+n= 2n

[tex](3n) ^{2} = 9n ^{2} [/tex]

5(n+2)=5n+10

2(n+1)=2n+1

[tex]n \div 4 = \frac{n}{4} [/tex]

[tex]n(n - 2 = n{2} - 2n[/tex]

Scenarios can be translated into

Answers

Answer:

can you please describe it more

Step-by-step explanation:

hmmmmmmmmmmmm please help uwu

Answers

Answer:

10.50 per hour

Step-by-step explanation:

I divided 26.25 by 2.5 and got 10.5. Hope this helps!

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