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Scrat [10]
2 years ago
9

washington high school's head tennis coach, ms. racket, runs a tennis camp for middle school students every summer. the students

bring their own lunches, but ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student
Mathematics
1 answer:
Kaylis [27]2 years ago
8 0

Your question was incomplete. Please refer the content below:

Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.

X      Y

10     30

13     39

14     42

21     63

The constant of proportionality is 3 as for 1 student she buys 3 snacks.

The constant of proportionality means the ratio between the terms x and y.

It is calculated by dividing y by x.

Here we get that:

X      Y           constant of proportionality(Y/X)

10     30                               3

13     39                               3

14     42                               3

21     63                               3

Therefore, we get the constant of proportionality as 3.

Learn more about constant of proportionality here:

brainly.com/question/1835116

#SPJ4

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Which distance measures 7 units?
Rasek [7]

Answer:

the distance between points M and P

Step-by-step explanation:

-1+7=6

Hope this helps! :)

4 0
3 years ago
What is the 38th term of 459,450,441,..
galina1969 [7]

Answer:

The 38th term of 459,450,441,.. will be:

a_{13}=351

Step-by-step explanation:

Given the sequence

459,450,441,..

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

450-459=-9,\:\quad \:441-450=-9

so

d=-9

The first element of the sequence is

a_1=459

so the nth term will be

a_n=-9\left(n-1\right)+459

a_n=-9n+468

Putting n=38 to find the 38th term

a_n=-9n+468

a_{13}=-9\left(13\right)+468

a_{13}=-117+468

a_{13}=351

Therefore, the 38th term of 459,450,441,.. will be:

a_{13}=351

3 0
3 years ago
Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2
4vir4ik [10]

Answer:

\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}

Step-by-step explanation:

We are given the function:

\displaystyle g(x)=-\frac{3}{x-2}+2

Let's find the inverse of g.

Call y=g(x):

\displaystyle y=-\frac{3}{x-2}+2

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

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

Operate:

yx-2y=-3+2x-4

Collect the x's to the left side and the rest to the right side of the equation:

yx-2x=-3-4+2y

Factor the left side and operate on the right side:

x(y-2)=-7+2y

Solve for x:

\displaystyle x=\frac{-7+2y}{y-2}

Interchange variables:

\displaystyle y=\frac{-7+2x}{x-2}

Call y as the inverse function:

\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}

5 0
3 years ago
Hoang has worked as a nurse at Springfield General Hospital for 7 years longer than her friend Bill. Two years ago, she had been
Evgesh-ka [11]

Answer:

Bill\to 9\ years

H \to 16\ years

Step-by-step explanation:

Let

H \to Hoang

B \to Bill

Currently:

H = B + 7

Two years ago

H - 2 = 2 * (B -2)

Required

H and B

We have:

H - 2 = 2 * (B -2)

Open bracket

H -2 =2B - 4

Add 2 to both sides

H -2+2 =2B - 4+2

H =2B -2

Substitute H = B + 7

B + 7 =2B -2

Collect like terms

2B - B =7+2

B = 9

Substitute B = 9 in H = B + 7

H = B + 7

H = 9 + 7

H = 16

3 0
3 years ago
Pls help this is so hard
NNADVOKAT [17]

where is the question to this

5 0
3 years ago
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