Answer:
4x 
140; You need to sell at least 35 bags
Step-by-step explanation:
Every 1 bag of popcorn is sold, $4 is put into the trip.
4x
You hope to earn at least $140.
4x ≥ 140
Divide by 4 on both sides.
x ≥ 35
You need to sell 35 bags or more to get $140.
Your welcome!
Kayden Kohl
8th Grade Student
Answer:
P = 4/7
Step-by-step explanation:
There are 5 cards with a picture of a rose and 3 cards with a picture of a daisy.
Then we have a total of 8 cards.
Now Alia turns over one card, and this card has a picture of a rose, then she removes it.
This means that now there are 4 cards with a picture of a rose and 3 cards with a picture of a daisy, so now we have a total of 7 cards.
We want to find the probability that the next turned card has also a rose on it.
This will be equal to the quotient between the number of cards with a rose on it (4 cards) and the total number of cards (7)
Then the probability is:
P = 4/7
Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Hello!
The dimensions that maximize its area is when the width and the length are the same
The dimensions for the highest area is 40 x 40
The answer is 40 by 40
Hope this helps!
