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wariber [46]
3 years ago
12

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cook

ies made, y, to the number of cups of flour used, x ?
plz help. I am confusion.
Mathematics
2 answers:
nydimaria [60]3 years ago
8 0
The answer is 16
You just have to do 48 divided by 3 to get the constant of proportionality, it is like finding unit rate
Andreas93 [3]3 years ago
3 0

Answer:

Answer

Find out the what is the constant of proportionality .

To prove

As given

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

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Answer:

The area of the rectangle <em>TOUR</em> is 80.00 unit².

Step-by-step explanation:

The area of a rectangle is computed using the formula:

Area\ of\ a\ Rectangle=length\times width

Since the dimensions of the rectangle are not provided we can compute the dimensions using the distance formula for two points.

The distance formula using the two point is:

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

Considering the rectangle <em>TOUR</em> the area formula will be:

Area of Rectangle <em>TOUR</em> = <em>TO × OU</em>

The co-ordinates of the four vertices of a triangle are:

T = (-8, 0), O = (4, 4), U = (6, -2) and R = (-6, -6)

Compute the distance between the vertices <em>T</em> and <em>O</em> as:

TO=\sqrt{(4-(-8))^{2}+(4-0)^{2}}\\=\sqrt{12^{2}+4^{2}} \\=\sqrt{160} \\=4\sqrt{10}

Compute the distance between the vertices <em>O </em>and <em>U</em> as:

OU=\sqrt{(6-4)^{2}+(-2-4)^{2}}\\=\sqrt{2^{2}+6^{2}} \\=\sqrt{40} \\=2\sqrt{10}

Compute the area of rectangle TOUR as follows:

Area\ of\ TOUR=TO\times OU\\=4\sqrt{10}\times 2\sqrt{10}\\=80\\\approx80.00 unit^{2}

Thus, the area of the rectangle <em>TOUR</em> is 80.00 unit².

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3 years ago
There are (713)3 ⋅ 70 strawberries in a field. What is the total number of strawberries in the field?
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What is the slope of the line through (6, 9) and (7, 1)<br>a. -1/8<br>b. 8<br>c. -8<br>d. 1/8​
eduard

Answer:

Slope is  -8

Step-by-step explanation:

First and foremost, welcome to Brainly!

I'll begin with the basics of slope, just to help you get the gist of this crucial concept -

Slope can be rewritten as rise/run, although written formally as :

m = \frac{y_{2}-y_{1}  }{x_2-x_1}

when we are given two coordinates (x,y) on the line.

One important thing to note is that slope belongs to a general equation,

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where b represents the y intercept and m is slope.

We're given two coordinates in your question: (6,9) and (7,1):

m = \frac{1-9}{7-6} = \frac{-8}{1} =-8

m = -8 is the final answer.

I hope this helps! By the way, slope is a concept that will follow you to calculus and physics, so I urge you to practice!

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