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Rzqust [24]
3 years ago
5

each school year the 7th graders who study life science participate in a special field trip to the zoo in 2010 the school paid 1

260$ for 84 students to enter the zoo in 2011 the school paid 1050$ for 70 students to enter the zoo in 2012 the school paid 1395 for 93 students to enter the zoo identify the constant of proportinality and explain what it means in the context of the situation
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
The constant of proportionality relates the independent variable to the dependent variable, such that the dependent variable is a constant multiple of the independent variable. In this problem, the independent variable is the number of students (let's denote this as x), and the dependent variable is the cost (let's denote this as y). The equation is:

y = kx, where k is the constant of proportionality

$1260 = k(84 students)
k = $1260/84 students = $15/student

$1050 = k(70 students)
k = $1050/70 students = $15/student

$1395= k(93 students)
k = $1395/93 students = $15/student

Thus, the constant of proportionality is 15. This represents the cost of ticket per student.
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What is the value of y?
Fiesta28 [93]

Answer:

y = 126.43

Step-by-step explanation:

Essentially what you have is the Cosine(50)

Cos(50) = adjacent / hypotenuse

adjacent = 122

hypotenuse = ?? = y

Solve

Cos(50) = 122/y         Multiply both sides by y

y*cos(50) = 122         Divide by cos(50)

y = 122 / cos(50)       Find the value of cos(50)

y = 122 / 0.96497     Divide

y = 126.43



6 0
4 years ago
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
svlad2 [7]

Answer:

11,8,5

Step-by-step explanation:

an=11-3(n-1)

Let n=1

a1 = 11 - 3(1-1)

    = 11 -0

    =11

Let n=2

a2 = 11-3(2-1)

     = 11 -3(1)

     = 8

Let n=3

a3 = 11-3(3-1)

    = 11 -3(2)

    = 11 -6

    =5

5 0
4 years ago
Solve and verify your answer.
Airida [17]

Answer:

' =9 93/107 days

Step-by-step explanation:

1/11+1/24

one day =35/264

35/264 -1/32

=107/ 1056- fraction of rem in a day

1 day= 107/1056

x = 1

=107/1056x=1

x=1÷107/1056

1056÷107

=9 93/107 days

6 0
3 years ago
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.
OlgaM077 [116]
f(g(x))=(2x^2+5)^2+2x^2+5+2\\
f(g(x))=4x^4+20x^2+25+2x^2+7\\
f(g(x))=4x^4+22x^2+32

4 0
4 years ago
Read 2 more answers
What is the measure of
cricket20 [7]

Answer:

m∠ADC = 90°

Step-by-step explanation:

Since, AB║CD and side AD is a transverse intersecting these parallel lines,

m∠DAC + m∠ADC = 180° [Consecutive interior angles]

85° + m∠ADC = 180°

m∠ADC = 180 - 85

              = 95°

Therefore, measure of angle ADC = 95° will be the answer.

7 0
3 years ago
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