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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:
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30x^7
Multiply the coefficients (6•5) to get 30, then add the exponents (4+3) to get 7
Hope this helps!
Answer:
x=10
Step-by-step explanation:
10-6 is equal to 4. The absolute value of 10 is 10. Therefore, x=10. Brainliest?
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>
x - y = 15
2x + 8 = 3y - 4
We can quickly get a temporary value for x by altering the original equation.
x - y = 15
<em><u>Add y to both sides.</u></em>
x = 15 + y
Now that we have a value of x, we can find the exact value of y.
2(15 + y) + 8 = 3y - 4
<em><u>Distributive property.</u></em>
30 + 2y + 8 = 3y - 4
<em><u>Combine like terms.</u></em>
38 + 2y = 3y - 4
<em><u>Subtract 2y from both sides.</u></em>
38 = y - 4
<em><u>Add 4 to both sides.</u></em>
y = 42
Now that we know the exact value of y, we can plug it back into the original equation.
x - 42 = 15
<em><u>Add 42 to both sides.</u></em>
x = 57
