Answer:
v=50
Step-by-step explanation:
We have the following fractional expression:
12
-------- is the same as
12^3
12^1
-------
12^3
We want to simplify this expression. To do so, we need the formula for exponents as follows:
x^a / x^b = x^(a-b).
In this particular problem we have
12^1 / 12^3, and know by this formula that the correct result is 12^(1-3), or 12^(-2), which is equivalent to 1 / 144.
Answer:
- 10
Step-by-step explanation:
Order of operations: PEMDAS
Multiply first then add
-4 + -6 = -10
Answer:
<em>Answer: c) S=20R+60</em>
Step-by-step explanation:
<u>Linear Model</u>
The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).
We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:
S = mR + b
Where m is the slope and b is the intercept.
The slope is found by:
We'll use two sample points (20,460) and (45,960):
m = 20
The value of b can be found by using one of the points, for example (20,460), and having m=20:
460 = 20*20 + b
Thus: b = 460 - 400 = 60.
The equation is:
S = 20R + 60
You can test the other points and check they belong to the same line.
Answer: c) S=20R+60
Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Bracelet (x) Necklace (y) Total
Labor (hour) 0.5 0.75 40
Profit 10 18
From the above table, we have the following:
Objective function:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
Because she wants to make at least 30 bracelets, we have:
x >= 30
So, we have:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
x >= 30
Express x >= 30 as equation
x = 30
Substitute x = 30 in 0.5x + 0.75y <= 40
0.5 * 30 + 0.75y <= 40
This gives
15 + 0.75y <= 40
Subtract 15 from both sides
0.75y <= 30
Divide by 0.75
y <= 40
Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
Read more about maximizing profits at:
brainly.com/question/13799721
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