Just one. the solution is 11/3
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.
First we must convert these mixed numbers to improper fractions:
So then we need the product of these two numbers. That means to multiply:
But then we need the value of half of this product. So then let's multiply by one-half:
Then we can convert this from an improper fraction to a mixed number:
And so this number is half of the product of the initial two numbers.
Leslie:
h= hours
3/4h=4 1/2 laps
divide both sides by 3/4 or .75
1 hour = 6 laps
Kayla:
3/4h= 3 1/2 laps
divide both sides by 3/4
1 hour = 4 2/3 laps
Leslie can do C
1_ 1/3 more laps in an hour than Kayla
Answer:
15/10
Step-by-step explanation:
Since it is adding you need to get a common denominator(bottom number).
I know that 2 × 5 = 10 so now we multiply 3/5 × 2
we get 6/10
now the problem is 9/10 + 6/10
9 + 6 = 15 and the denominator is 10
15/10
