Using a proportional relationship, the amounts are given as follows:
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, we have that:
- The input variable is the number of tennis players.
- The output variable is the number of soccer players.
From the first row of the table, the constant is given as follows:
k = 35/15 = 7/3.
Hence the relationship is:
y = 7/3x.
For the second row of the table, we have that x = 3, hence:
y = 7/3 x 3 = 7.
For the third row of the table, we have that y = 84, hence:
84 = 7/3x
x = 84 x 3/7
x = 36.
Then the amounts are given as follows:
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
$3.563
Step-by-step explanation:
First, I multipled 23.75 times the 15% tip, which you would get 356.250. Then, divide that by 100 to get 3.563. I hope this helps :)
Answer:
Radius = 2.5 m Length = 7 m Half cylinder formula- ½ (pi r^2) + (2 pi R h) Pi x 2.5^2 + 2 x pi x 2.5 x 7
129.5906969 x .5 = 64.795348 m^2 The surface area of the half pipe is 65 m^2.
Answer:
x=60
Step-by-step explanation:
This is a parallelogram.
For a parallelogram,
sum of angles in one side is 180.
we know, in a parallelogram,
the consecutive angles are supplementary or
their sum is 180.
So, we get,
x+33+87=180
or, x+120=180
subtracting 120
x+120-120=180-120
or, x=60
Answer:
(negative infinity, 2)
Step-by-step explanation:
The two functions are given by f(x) = x - 3 and g(x) = - 0.5x
So, (f - g)(x) = x - 3 - ( - 0.5x) = 1.5x - 3
Then, for (f - g)(x) to be negative (1.5x - 3) < 0
⇒ 1.5x < 3
⇒ x < 2
Therefore, the interval will be (negative infinity, 2) for which the function (f - g)(x) will be negative. (Answer)
