The _____ property states that a quantity may be substituted for its equal in any expression

Giselle has a catering business. There is a proportional

Vanyuwa [196]

Answer:

1) The graph labeled and the ordered pairs plotted are shown in the second picture.

2) To calculate the amount of meat (in pounds) needed for a party of 75 people:

Substitute the value of the Constant of proportionality and $x=75$ into the equation $y=kx$ and then evaluate (The result is 30 pounds).

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

1) You can observe in the graph shown in the first picture this point:

$(10,4)$

So you can subsitute the coordinates of this point into $y=kx$ and solve for "k":

$4=k(10)\\\\k=\frac{4}{10}\\\\k=\frac{2}{5}$

Now you can find the amount of meat needed for 20, 30, 40, and 50 people with this procedure:

<u>For 20 people</u>

Substituting $k=\frac{2}{5}$ and $x=20$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(20)=8$

The ordered pair is:

$(20,8)$

<u>For 30 people</u>

Substituting $k=\frac{2}{5}$ and $x=30$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(30)=12$

The ordered pair is:

$(30,12)$

<u>For 40 people</u>

Substituting $k=\frac{2}{5}$ and $x=40$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(40)=16$

The ordered pair is:

$(40,16)$

<u>For 50 people</u>

Substituting $k=\frac{2}{5}$ and $x=50$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(50)=20$

The ordered pair is:

$(50,20)$

Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).

2) Substituting $k=\frac{2}{5}$ and $x=75$ into the equation $y=kx$ and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:

$y=(\frac{2}{5})(75)=30$

6 0

3 years ago

3. The population of a country increases by 2% every year. The current

Katen [24]

Answer:

A=P(1+

100

R

)

n

A=10000(1+0.1)

3

=13310

Step-by-step explanation:

please mark me as the brainliest answer and please follow me

7 0

3 years ago

Number 3. Find the parent function. State the domain and range. Correct answer will get brainliest

san4es73 [151]

$y - \sqrt{3} = 5 - x \\ y = \sqrt{3} - 5 = - x \\ - y + \sqrt{3} + 5 = x \\ x = - y + \sqrt{3} + 5$
I hope this will help.

4 0

3 years ago

if a rectangle has a greater perimeter than another rectangle, does it also have a greater area? Explain.

Lemur [1.5K]

No.

The maximum possible area given a constant amount of material for a quadrilateral will always be a square.

For example if the material for the perimeter is 64 we can form a rectangle that is 22 by 10 which will have an area of 220 u^2.

However a square using the same amount of material will have sides of 64/4=16 and an area of 16^2=250 u^2

So in general the area is maximize the closer the sides are to being equal and minimized as the difference between the sides becomes greater. In the case of comparing the material, perimeter, of a rectangle to a square for the same amount of material the square will use less material than the rectangle.

A square can have a smaller perimeter and a greater area that a rectangle.

In the example above the rectangle had a perimeter of 64 u and an area of 220 u^2. If we made a square with just 60 u, it would have an area of 225 u^2.

4 0

3 years ago

Yankee with no brim

uranmaximum [27]

Answer:

Nice

Step-by-step explanation:

7 0

3 years ago

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