Work the information to set inequalities that represent each condition or restriction.
2) Name the
variables.
c: number of color copies
b: number of black-and-white copies
3)
Model each restriction:
i) <span>It
takes 3 minutes to print a color copy and 1 minute to print a
black-and-white copy.
</span><span>
</span><span>
3c + b</span><span>
</span><span>
</span><span>ii) He needs to print
at least 6 copies ⇒
c + b ≥ 6</span><span>
</span><span>
</span><span>iv) And must have
the copies completed in
no more than 12 minutes ⇒</span>
3c + b ≤ 12<span />
4) Additional restrictions are
c ≥ 0, and
b ≥ 0 (i.e.
only positive values for the number of each kind of copies are acceptable)
5) This is how you
graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the
first quadrant.
iv) The final region is the
intersection of the above mentioned shaded regions.v) You can see such graph in the attached figure.
Answer:
18 students are likely to be wearing red
Step-by-step explanation:
From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.
So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.
Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x
We equate this to 24; 4x = 24 and x = 24/4; x = 6
The number wearing red probably is 3 * x = 3 * 6 = 18 people
Answer: The regular price of the granola bars were $5 each.
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
- <em>Discount = 10% = 0.10 (decimal form, 10/100 =0.1)
</em>
- <em>Cost after discount: $4.50
</em>
So, the original price of the granola bar (x) multiplied by 0.9 ( since 100% is the full price,1- 0.1= 0.9) equals to 4.50 (cost after discount)
Mathematically speaking
x (1- 0.1) = 4.50
x 0.9 =4.50
x = 4.50/0.9
x= 5
Feel free to ask for more if needed or if you did not understand something.
Yes; it is possible
<span>If the planes are parallel to each other then they don't intersect. </span>
<span>There can also be two or more lines on different planes which do not intersect each other. These lines are called skew lines.</span>