When your not sure if the fraction is the same
If you would like to solve the inequality 12 * p + 7 > 139, you can do this using the following steps:
12 * p + 7 > 139
12 * p > 139 - 7
12 * p > 132 /12
p > 132/12
p > 11
The correct result would be p > 11.
Answer:
- width: 18 in
- length: 27 in
Step-by-step explanation:
The relations between length (L) and width (W) are ...
W +9 = L
LW = 486
Substituting gives ...
(W+9)W = 486
W^2 +9W -486 = 0 . . . put in standard form
(W +27)(W -18) = 0 . . . . factor
W = 18 . . . . the positive solution
The width of the rectangle is 18 inches; the length is 27 inches.
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<em>Comment on factoring</em>
There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.
486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.
Answer:
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=7x + 22
Answer:
Rounded to a whole number, the player has 12 bonus stars.
Step-by-step explanation:
Since the video game establishes that for every 1,333 points of attack power 3 levels are gained, and that the player has a total of 0.21 million attack points, to determine the number of levels that player has it is necessary to perform the following calculation :
0.21 million = 210,000
210,000 / 1,333 x 3 = Levels
472.6 = Levels
Now, every 38 levels, the game awards a bonus star. To determine the amount of bonus stars that the player has, the following division must be made:
472.6 / 38 = X
12.43 = X
Thus, rounded to a whole number, the player has 12 bonus stars.
