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raketka [301]
3 years ago
10

How can you identify a unit rate or consant of proplortionality in a table?graph?In a equation?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
The number that comes with the variable x is the constant of proportionality ,
Example:
Mx=b
12x=b
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What is the cross-sectional area of a wire if its outside diameter is 0.0625 inch?
Leno4ka [110]

Given that the diameter: d= 0.0625 inch.

So, radius of the wire : r = \frac{0.0625}{2} = 0.03125 inch

Now the formula to find the cross-sectional area of wire ( circle) is:

A = πr²

= 3.14 * (0.03125)² Since, π = 3.14 and r = 0.03125

=3.14 * 0.000976563

= 0.003066406

= 0.00307 (Rounded to 5 decimal places).

Hence, cross-sectional area of a wire is 0.00307 square inches.

Hope this helps you!

5 0
2 years ago
Read 2 more answers
Use the substitution method to solve.
lord [1]

Answer:

x = 7, y = 6

Step-by-step explanation:

solve for y for the first equation

2x + y = 20

-2x         -2x , eliminate 2x

y = 20-2x

now that we have found y, substitute the y in for the second equation

-5y = -6x + 12

-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5

-100+10x = -6x + 12, we multiplied everything from the parathesis  by -5

+100                 + 100, eliminate -100

10x = -6x + 112

+6x    +6x , eliminate 6x

16x = 112 , solve for x

x = 7

then y = 20 - 2x = 20 - 2*7 = 6

check:

2 * 7 + 6 = 20

20 = 20

-5 * 6 = -6 * 7 + 12

-30 = -42 + 12

-30 = -30

4 0
3 years ago
A scale model of a building is 3 inches tall. If the building is 90 feet tall, find the scale of the model.
olganol [36]

The scale model of a building 3 inches tall if the building is 90 feet tall is 2:5

<h3>Scaling of measurement</h3>

Scaling is the way of enlarging or reducing the image of an object.

Given scale model of a building is 3 inches, if the building is 90feet tall, to write the scale;

Convert both measures to same units

Since 1 feet. = 12 in

90 feet = 90/12 in = 7.5 in

Take the ratio

3 : 7.5 = 30: 75

Reduce to lowest term

30: 75 = 2 : 5

Hence the scale model of a building 3 inches tall if the building is 90 feet tall is 2:5

Learn more on scale model here: brainly.com/question/261465

#SPJ1

7 0
2 years ago
Brenda and Lynne cut shapes from
Fed [463]

Answer:

8

Step-by-step explanation:

32/4

8 0
2 years ago
Translate the given statement into propositional logic using proposition provided :
olya-2409 [2.1K]

Answer: m ⇒ e ∨ p

Step-by-step explanation:

First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.  

  • In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:

⇒ = " only if"

∨ = "or"

  • Convert the phrases into variables where:

m = " You can see the movie"

e = "You are over 18 years old"

p = " you have the permission of a parent"

  • Construct the statement sequentially.

You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)

  • Remove the phrases and you'll have your answer:

m ⇒ e ∨ p

6 0
2 years ago
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