The integer representing the change in the number of DVDs sold is -10000.
<h3>What is a change in number?</h3>
Given, The number of DVDs shipped to an online retailer was 10,000 less than the previous year.
We have to Use an integer to describe the change in the number of DVDs sold.
Now, let the number of DVDs shipped to an online retailer in the previous year be x.
Then, according to the given information, DVDs shipped to the online retailer this year will become x – 10000
So, now, the change in the number of DVDs sold = DVDs sold this year – DVDs sold last year
= x – 10000 – x
= 0 – 10000
= - 10000
Hence, the integer representing the change in the number of DVDs sold is -10000.
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Answer:
x= 4/5a
Step-by-step explanation:
5=5/ax+1
Step 1: Multiply both sides by a.
5a=a+5x
Step 2: Flip the equation.
a+5x=5a
Step 3: Add -a to both sides.
a+5x+−a=5a+−a
5x=4a
Step 4: Divide both sides by 5.
5x/5=4a/5
x= 4/5a
Hope this helps!
Answer: $15.21
Step-by-step explanation:
Given
Joe's lunch cost $13.00 without tax
He tipped the waiter with 17% of bill without tax
So, the amount of tip is
Total amount that food costs without tax is
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
