You have to add your like terms. So you would add 5e + (-2)e first. That would equal 3e. Next you would add 8f + (-12)f. That would equal -4f. You final answer would be 3e - 4f.
Use the Chinese remainder theorem. Suppose we set
. Then clearly taken modulo 12, the second term vanishes, and incidentally
; taken modulo 13, the first term vanishes, but the second term leaves a remainder of 2. To counter this, we can multiply the second term by the inverse of 12 modulo 13, which is 12 since
.
So, we found that
, but the least positive solution is
, and in general we can have
for any integer
.
Now, since
, or
, we know that there are 32 possible integers
that satisfy the congruences.
Answer:
<u><em>Ms. Felix would spend $491.75 on her order.</em></u>
Step-by-step explanation:
First, let's identify the components of this word problem that we'll need to solve it. We know that Staples charges $28 for 8 boxes of pencils, and $47 for 4 pencil sharpeners. Before we do anything else, we'll find the unit price of the pencils and pencil sharpeners to make it easier for us. Let's begin with the boxes of pencils. 28 ÷ 8 = $3.50 per box of pencils. As for the pencil sharpeners, 47 ÷ 4 = $11.75 per sharpener. Now that we know the basic costs, let's use them to solve our problem at hand. We'll multiply the number of items ordered by the base cost of the item.
Boxes Of Pencils:
70 × $3.50= $245.00
Sharpeners:
21 × $11.75= $246.75
Now that we know the cost of the two seperate items Ms. Felix ordered, let's add them to get our final answer.
<h3>$245 + $246.75 = $491.75</h3><h3 />
Our final answer would be $491.75.
Answer:
h = 3v/b
Step-by-step explanation:
Here, we want to select the equation that solves for h
What this simply means is that we should make h the subject of the formula
Thus, we have 3 * v = bh
3v = bh
h = 3v/b
Answer:
A
Step-by-step explanation:
