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.
Answer:
13.7 mph
Step-by-step explanation:
• d = st
Given:
- d = 32 miles
- t = 2 1/3 hr = 7/3 hr
Find the rate s:
- s = d/t
- s = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)
Answer:
<h2>
<em>4</em><em>1</em></h2>
<em>Sol</em><em>ution</em><em>,</em>
<em>a</em><em>=</em><em>1</em><em>4</em>
<em>b</em><em>=</em><em>2</em><em>9</em>
<em>c</em><em>=</em><em>1</em>
<em>D=</em><em>1</em>
<em>Now</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>
Answer: The answer is B
Step-by-step explanation: 122 >7 (z+8) -5 (6+z). Then switch them, 7 (z+8) -5 (6+z) <122. Expanded: 7 (z+8) -5 (6+z) <122:v 2z+26
2z+26<122, subtract 26 from both sides: 2z+26-26<122-26
Simplify: 2z<96, divide both sides by 2: 2z over 2 < 96 over 2
and finally simplified: Z<48
HOPE THIS HELPED YOU OUT!
IF NOT SORRY!
Answer:
<u>18 waves</u> hit the beach in 49 s.
Step-by-step explanation:
Given:
The frequency of the waves that were coming into the beach is 0.367347 Hz.
Now, to find the number of waves that hit the beach in 49 s.
Let the number of waves be 
The frequency of waves (
) = 0.367347 Hz.
The time it takes to hit the beach (
) = 49 s.
Now, we put formula to get the number of waves:
<u><em>The number of waves = 18.</em></u>
Therefore, 18 waves hit the beach in 49 s.
