Answer:
The product of 6 and a number
Step-by-step explanation:
There isn't any "real" mathematics needed to find the answer, just common background knowledge:
6x = 6 times x,
and product is referencing multiplication
(Since quotient is for division, difference for subtraction, and sum for addition)
considering we need to represent an expression which uses multiplication in words, the correct answer is:
O the product of 6 and a number
<h3>Answer:</h3>
C. The playable area has a width of 9 inches and a height of 6 inches.
<h3>Explanation:</h3>
There are a number of ways you can get there.
1. Check the answers to see which have the right area and aspect ratio.
- A: area = 24 in² — does not match 54 in²
- B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio
- C: area = 54 in², aspect ratio 9:6 = 3:2 — <em>matches problem statement</em>
- D: area = 121.5 in² — does not match 54 in²
2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.
3. You can write equations for width and height and solve.
Substituting w=3/2·h into the second equation gives
... (3/2)h·h = 54
... h² = 36 . . . . . multiply by 2/3
... h = √36 = 6 . . . . square root, result in inches . . . . matches selection C
The equation is false, has no solutions.