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sveta [45]
3 years ago
5

The science club at Jersey High School is sponsoring a dance to raise money for their spring project. They will charge $4 per st

udent admission, but must pay $140 for publicity and chaperones. If n is the number of students who attend the dance, how many students must attend if the science club is to earn at least $640?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer: 195

Step-by-step explanation:

Cost per student = $4

Total number who attended = n

The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is

Total cos = 4n

Since, they are to pay $140 , for publicity, then the total cost becomes

T = 4n - 140

From the last statement

4n - 140 ≥ 640

4n ≥ 640 + 140

4n ≥780

n ≥ 780/4

n ≥ 195

That means at least 195 students must attend if the science club is to earn at least $ 640

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Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 5.3, 2.3, 2.9, 4.3, 3.8. Calculat
evablogger [386]

Answer: 1.18

Step-by-step explanation:

Let m be mean

Mean= sum/ n

Mean= (5.3+2.3+2.9+4.3+3.8 ) / 5

m= 18.6 / 5

M= 3.72

Mean= 3.72

Standard deviation sample formula is:

S.D= sqrt((|x-m|^2) / n-1)

So let start with |x-m|^2

For 1st: |5.3-3.72|^2=2.4964

For 2nd: |2.3-3.72|^2=2.0164

For 3rd: |2.9-3.72|^2=0.6724

For 4th: |4.3-3.72|^2=0.3364

For 5th: |3.8-3.72|^2=0.0064

Summation of |x-m|^2 = 5.528

Standard deviation sample formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(5.528 / 4)

S.D=sqrt(1.382)

S.D=1.176

S.D=1.18 to 2 decimal place

8 0
3 years ago
Please please please help omg I’m praying somebody helps
sveta [45]

Answer:

The second option

Step-by-step explanation:

The second option is correct because the base of the triangle, which is 3 cm, plus the base of the rectangle, which is 5 cm, is equal to the base of the trapezoid, which is 8 cm.

Hope this helps! :)

6 0
3 years ago
2. Mark works as a consultant for a computer firm. His weekly income is $425. His
ELEN [110]

Hi there, I hope you understand my answer and that it is correct :)

So, First we multiply $425 by 4 because there are approximately 4 weeks in every month, so as shown  425*4=1,700

____________________________________________________________

Next We subtract the answer, which we got to be 1,700 from 1266.  

 1700 - 1266=434

____________________________________________________________

<h2>Answer : $434 left to spend :) </h2><h2></h2><h2></h2>

8 0
3 years ago
The area, A, of the rectangle below is 3/4 square ft. If A = length x width, what is the length of the rectangle?
Setler [38]

Answer:

\frac{3}{4w} =l

Step-by-step explanation:

The area of a rectangle is found using the formula A = l*w. We know the area is A = 3/4 square foot. To find the length in terms of w, solve for l by multiplying by the reciprocal of w.

A = l*w\\\frac{3}{4} =l*w\\\frac{3}{4} *\frac{1}{w} = l\\\frac{3}{4w} =l

8 0
3 years ago
Simplify. Consider all cases. |14−(x−6)|
yanalaym [24]

Answer:

20-x; -20+x; -20-x; 20+x

Step-by-step explanation:

|14-x+6|

|20-x|

20-x; -20+x; -20-x; 20+x

4 0
3 years ago
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