Alright, so if w is the width and l is the length, we have 2w+2l=16 (for the perimeter) and w*l=12. For 2w+2l=16 , we can subtract 2l from both sides to get 2w=16-2l, and then divide both sides by 2 to get w=8-l. Substituting that into w*l=12, we get (8-l)*l=12 and -l^2+8l=12. Subtracting 12 from both sides, we get -l^2+8l-12=0. Using the quadratic formula, we get
l=(-8+-sqrt(64-(4*-1*12))/-2=(-8+-sqrt(16))/-2= (-8+-4)/2=either 2 or 6. Plugging them into 8-l=w, we get that w is either 2 or 6 too, meaning that you just have to draw the grid with one side being the length of 2 and the other with the length of 6
Answer:
20 cups
Step-by-step explanation:
Let the small pitchers be given by s
and the larger pitchers by l
According to the given information:
So, 3 large pitchers and 4 small pitchers hold 20 cups of water.
Answer:
Median: 9
1 3 6 6 <u>9</u> 10 11 12 31
Step-by-step explanation:
To find the median, you have to organize your terms from least to greatest. And then find the center of your terms, which would be 9.
Apply the distributive property, which says that a(b+c)= ab+ac.
-2(x+7)= -2(x)+ -2(7)
-2(x)= -2x
-2(7)=-14
Put it together.
Final answer: -2x-14
Answer: A) 184
Explanation:
Out of 17 bottles from the sample, 1 of them were defected, we are left with a fraction of 1/17 of cups out of the total would be defected. We multiply that fraction with the 3125 bottles that machine A produces to find how many defected bottles are produced by it a day.
(1/17) x 3125 = 183.8
The answer is 183.8, after rounding to the nearest one, the answer is 184.