The correct answer is 0.99kg/L
Explanation:
To find the density, the first step is to convert the weight (mass) and the volume into the appropriate units.
The volume is 8.5 gallons and this needs to be converted to litters. In this case, multiply the volume in gallons by 3.785 because each gallon contains 3.785 liters.
8.5 x 3.785 = 32.1725 liters
The mass is 70 pounds and this needs to be converted to kilos. In this case, divide the pounds by 2.204 considering each kilo contains 2.204 pounds.
70 ÷ 2.2046 = 31.751 kilos
Now, find the density by dividing the mass into the volume.
Density= 31.751 kg ÷ 32.1725 L
Density = 0.98 kg/L
This means the density is 0.9.868 kg/L and this can be rounded as 0.99 kg/L
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
Answer:
A. 7
Step-by-step explanation:
you bring down the 1 and multiply it by -2 then -2 goes to add with 2, which makes it 0. Then 0 x -2 is 0. 0 then goes to add with -3, then -3 comes down. -2 x -3 is 6. 6+1 is 7.
Answer:
P(either almond or cashew) = ⅔
Step-by-step explanation:
We are told that the bag contains a mixture of almonds walnuts and cashews of equal number.
Since the 3 nuts are equal in number, they will have a ratio of 1:1:1.
So, when a nut is chosen randomly,
Probability of choosing almond = 1/3
Probability of choosing cashew = 1/3
Thus,
Probability of choosing either almond or cashew in a random selection will be the sum of their individual probability.
So,
P(either almond or cashew) = ⅓ + ⅓ = ⅔
Answer: sometimes its really hard and other times its easy.
Step-by-step explanation: hope this helps!
