Let f and b be the cost of foil and batteries respectively. We are first given that:
2f+3b=21 subtract 3b from both sides
2f=21-3b divide both sides by 2
f=(21-3b)/2
Then we are given:
5f+2b=25, using f found above in this equation gives you:
5(21-3b)/2+2b=25
(5(21-3b)+4b)/2=25 multiply both sides by 2
5(21-3b)+4b=50 carry out indicated operations on left side
105-15b+4b=50 combine like terms on left side
105-11b=50 subtract 105 from both sides
-11b=-55 divide both sides by -11
b=5, since f=(21-3b)/2
f=(21-3*5)/2
f=3
So batteries cost $5 and foil cost $3.
Answer:
Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation:
<em><u>It's 30</u></em>
<em>Hope that helped!</em>
Answer:
Mean and standard deviation of the sample mean are 225.8 and 3.56 respectively.
Step-by-step explanation:
The mean (μₓ) and standard deviation of the sample mean (σₓ) are related to the mean (μ) and standard deviation of the population (σ) through the following relationship
μₓ = μ = 225.8
σₓ = σ/√n = 17.8/√25 = 17.8/5 = 3.56
Answer:
Option D is correct
Surface area of a cube is 294 square units
Step-by-step explanation:
Surface area of a cube is given by:
square unit
where
S is the surface area of a cube
a is the length of edge of a cube.
From the given figure, we have;
a = 7 units
then;
square units
Therefore, the Surface area of a cube is 294 square units
