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MatroZZZ [7]
2 years ago
5

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

Mathematics
1 answer:
Lady bird [3.3K]2 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 animal shelter houses only cats and dogs, and there are 25% more cats than dogs. If there are 40 cats, how many dogs are ther
Inessa [10]
X is  the number of dog
y is the number of cats , y=40
25% of x is  25*x /100=25x/100=x/4
<span>and there are 25% more cats than dogs means y+ x/4=x implies 40=(3/4)x
</span>x=160/3=53
so the number of dogs is 53 and the number of cats is 40
the total number is 53+40=93




5 0
2 years ago
Read 2 more answers
Can someone do 4,5,6,and 7 for me
Flauer [41]

Answer:

4.=11   5.=4  6.=17  7.=47    I think

Step-by-step explanation:

an absolute value of a number is never negative so you just make the number positive and go about the equation normally

6 0
3 years ago
Read 2 more answers
Which explanation is an accurate way to describe the solution to a system of equations by using a graph?
Volgvan
The correct answer for this question is this one: "The location (x, y) where the lines intersect is a solution to a system of equations." <span>This is the explanation that is an accurate way to describe the solution to a system of equations by using a graph. </span>Hope this helps answer your question and have a nice day ahead. 
8 0
3 years ago
The area of the regular hexagon is 10.4 in.2. a regular hexagon has side lengths of 2 inches and an area of 10.4 inches squared.
VARVARA [1.3K]

Answer:

  (b)  1.7 in

Step-by-step explanation:

The area of a regular polygon in terms of perimeter and apothem is given by the formula ...

   A = 1/2Pa

For a hexagon, the perimeter is 6 times the side length, so this becomes ...

  A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'

__

Solving for the apothem, we find ...

  a = A/(3s)

For the given values of area and side length the apothem is ...

  a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches

The apothem, rounded to tenths, is 1.7 inches.

5 0
2 years ago
How do you Graph y-3=1/3(x+1)
jekas [21]

Answer:

You can find the point of intersection of the line with the y-axis and the  the point of intersection of the line with the x-axis. See the graph attached.

Step-by-step explanation:

Find the intersection with the y-axis. Substitute x=0 into the equation and solve for y:

y-3=\frac{1}{3}(x+1)\\\\y-3=\frac{1}{3}(0+1)\\\\y-3=\frac{1}{3}(1)\\y=\frac{1}{3}+3\\\\y=\frac{10}{3}

y≈3.33

Find the intersection with the x-axis. Substitute y=0 into the equation and solve for x:

y-3=\frac{1}{3}(x+1)

0-3=\frac{1}{3}(x+1)\\(-3)(3)=x+1\\-9-1=x\\x=-10

Now, you know that the line passes through the point (0,3.33) and (-10,0). Now you can graph the function. (Observe the graph attached)

6 0
3 years ago
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