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MatroZZZ [7]
3 years ago
5

4.) Fill in the table to show a proportional relationship and then identify the

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer/Step-by-step explanation:

✔️Number of Yoga classes = x

Cost ($) = y

Constant of proportionality (k) = y/x

Using the pair form the table of values given, (4, 60), find the constant of proportionality:

✅k = 60/4 = 15

Equation that represents the relationship between x and y is:

y = 15x

✔️Let's complete the table.

✅When number of yoga classes (x) = 2:

Substitute x = 2 into y = 15x

Thus,

y = 15*2 = 30

That is, 2 Yoga classes will cost $30

✅When number of yoga classes (x) = 6:

Substitute x = 6 into y = 15x

Thus,

y = 15*6 = 90

That is, 6 Yoga classes will cost $90

✅When number of yoga classes (x) = 8:

Substitute x = 8 into y = 15x

Thus,

y = 15*8 = 30

That is, 8 Yoga classes will cost $120

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An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a
nikitadnepr [17]

Answer:

192.92 ft^3

Step-by-step explanation:

volume of a cone = \frac{1}{3}πr²h

π = 3.14

r = radius ]

h = height

the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle

circumference of a circle= 2πr

30.144 = 2 x 3.14 x r

r = 30.144 / 6.28

r = 4.8

Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3

8 0
3 years ago
How would you simplify this -5x+2x+7y-3x
forsale [732]
In these types of problems, the first step is to combine like terms. Like terms are terms with the same exponent (power), and the same variable (like all x's). In the above equation, we can combine -5x, 2x and -3y. Let's do it:
-5x+2x+7y-3y = -6x+7y

The next step would be to factor out the common ratio, which is not applicable here, so your answer would be -6x + 7y. Hope this helps!
3 0
3 years ago
Read 2 more answers
Which expression is equivalent to
maksim [4K]
The answer is C . -7r^2 + 12r -8
5 0
3 years ago
PLEASE HELP ME!!!!<br><br> (if you don’t know don’t answer)
Sergio039 [100]

Answer:

Here are my answers

hope this helps

Step-by-step explanation:

1. isosceles triangle

2.   3x + 15 = 90       x = 25

     x + 25 = 90        x = 65

     x + 55 = 90        x = 35

3. The size for DAB is 84

My reasoning is I went from one angle to another by subtracting 180 from my answers. For example angle 132 is supplementary to the missing angle next to it. I subtract 180 from 132 and get 48. That already solves the 2 equivalent angles in the triangle so I have 48+48+x = 180 because a full triangle equals 180. I get x = 84 then I do the same thing I did with angle 132. Angle 84 is supplementary to the missing angle next to it. I subtract 84 from 180 and get 96 then go diagonal from angle C (which is 96) to angle A. Those are supplementary so I subtract 96 from 180 and get 84.

3 0
2 years ago
Write the equation for the area of a triangle with a height that is 5 more than twice its base using one variable. Please help m
zysi [14]

Answer:

A=b(b+\frac{5}{2} )

Step-by-step explanation:

hey there!!!

we know already that the area of a triangle is given as

A=\frac{1}{2}b *h

where b= base

and h= heigth

Given that the height is 5 times more than twice it base

let h= 2b+5

Now we substitute h=2b+5 in the area of the triangle

A=\frac{1}{2}b * (2b+5)

A= \frac{2b^2}{2} +\frac{5b}{2}

A= b^2+\frac{5b}{2}\\\\A=b(b+\frac{5}{2} )

7 0
3 years ago
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