The <em>correct answers</em> are:
5x²+70x+245 ≥ 1050; and
Yes.
Explanation:
Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.
The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.
The area of the TV would be given by
(x+7)(5x+35).
Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:
(x+7)(5x+35) ≥ 1050
Multiplying this, we have:
x*5x+x*35+7*5x+7*35 ≥ 1050
5x²+35x+35x+245 ≥ 1050
Combining like terms,
5x²+70x+245 ≥ 1050
To see if 8 is a reasonable width for the tablet, we substitute 8 for x:
5(8²)+70(8)+245 ≥ 1050
5(64)+560+245 ≥ 1050
320+560+245 ≥ 1050
1125 ≥ 1050
Since this inequality is true, 8 is a reasonable width.
11/10= 1 1/10 hope it helps
Answer: 33 1/3%
Step-by-step explanation:
Percentage increase of the shirt will be calculated as:
= Price Increase / Old price × 100%
Price Increase = $20 - $15 = $5
Old price = $15
Percent increase = Price Increase / Old price × 100%
= 5/15 × 100
= 1/3 × 100
= 33 1/3%
∠2 = ∠7
4x+2 = 5(x-2)
4x+2 = 5x-10
x = 12
