Answer:
6.75 grams
Step-by-step explanation:
Total amount of lemonade with Samantha = 4 1/2 gallons
= (4*2 + 1)/2 gallons = 9/2 gallons = 4.5 gallons
Amount of fat in 1 gallon of lemonade = 1.5 grams
To find amount of fat in 4.5 gallons lemonade
we multiply both side of equation with 4.5
Amount of fat in 1*4.5 gallon of lemonade = 1.5*4.5 grams = 6.75 grams
Thus,
there is 6.75 grams of fat in all the lemonade Samantha has for the party
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Step-by-step explanation:
since both objects and sides are similar, you can set each side equal, then you cross multiply, and do subtraction, then find x.
Answer #1- 8 mins
Answer #2-$0.571
Explanation for #1:
For this first equation you need to find 1 mike per ___ minutes. To get from 10 to 1, you need to divide by 10. This can also be put into this equation—
10x=80
So, to find how many minutes for each mile, divide 80 by 10. This will result in 8. This means that Dan ran 1 mile in 8 minutes.
Explanation for #2:
For this next one we see that we need to find how much Yoko spent on each pound of rice.
Since we are trying to find 1 pound of rice per ___ dollars, we need to divide both 14 and 8 by 14. This can also be put into this equation—
14x=8
Once this is done we know that 1 pound of rice is equal to 0.571428571428571 cents. But, since you are required to round to the nearest hundredth, the answer will only be $0.571.
Hope this helps comment below for more questions :)
Answer:
The solution is X<18
Step-by-step explanation:
When Mason was solving the inequality he subtracted two from the equation instead of adding two to solve for x.
X-2<16
X<18