Answer:
- Burgers - $8.29 and fries - $4.39
Step-by-step explanation:
<u>Let burgers - b, fries - f</u>
- 8b + 3f = 79.49
- 12b + 6f = 125.82
<u>Double the first equation and subtract the second equation:</u>
- 16b + 6f - 12b - 6f = 2(79.49) - 125.82
- 4b = 33.16
- b = 33.16/4
- b = 8.29
<u>Find f:</u>
- 8(8.29) + 3f = 79.49
- 3f = 79.49 - 66.32
- 3f = 13.17
- f = 13.17/3
- f = 4.39
Answer:
Amount of water needed for 10 serving = 7.5 cup
Step-by-step explanation:
Given:
1 serving needed water = 3/4 cup
Find:
Amount of water needed for 10 serving
Computation:
Amount of water needed for 10 serving = 10[3/4]
Amount of water needed for 10 serving = 7.5 cup
Answer:
865
Step-by-step explanation:
We have that in 95% confidence level the value of z has a value of 1.96. This can be confirmed in the attached image of the normal distribution.
Now we have the following formula:
n = [z / E] ^ 2 * (p * q)
where n is the sample size, which is what we want to calculate, "E" is the error that is 2% or 0.02. "p" is the probability they give us, 5 out of 50, is the same as 1 out of 10, that is 0.1. "q" is the complement of p, that is, 1 - 0.1 = 0.9, that is, the value of q is 0.9.
Replacing these values we are left with:
n = [1.96 / 0.02] ^ 2 * [(0.1) * (0.9)]
n = 864.36
865 by rounding to the largest number.
Answer:
= - 5n - 2
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 12 - (- 7) = - 17 - (- 12) = - 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 5, then
= - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2