Answer:
y=-13
Step-by-step explanation:
5-y=18
-5 -5
-y=13
*-1 *-1
y=-13
You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.
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:
6600 yd²
Step-by-step explanation:
The area of the scale drawing is ...
(5.5 in)(3 in) = 16.5 in²
Each square inch represents an area of the field that is ...
(20 yd)×(20 yd) = 400 yd² . . . . per square inch of drawing
Then the scale drawing represents a field with an area of ...
(16.5 in²)×(400 yd²/in²) = 6600 yd²