Let c=cost of chicken and d=cost of duck; 50c+30d=550 and 44c+36d=532.
So 5c+3d=55, 11c+9d=133.
Therefore 15c+9d=165, subtracting 11c+9d=133 we get: 4c=32 so c=8.
5c+3d=40+3d=55, so 3d=15 and d=5.
Cost of chicken is $8 and cost of duck is $5.
Answer:
24 quarters and 49 nickels
Step-by-step explanation:
This situation has two unknowns - the total number of nickels and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- n+q=73 is an equation representing the total number of coins
- 0.05n+0.25q=8.45 is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get n=73-q. We now substitute this for n in the second equation.
0.05(73-q)+0.25q=8.45
3.65-0.05q+0.25q=8.45
3.65+0.20q=8.45
After simplifying, we subtract 3.65 across and divide by the coefficient of q.
0.20q=4.8
q=24
We now know of the 73 coins that 24 are quarters. To find the number of nickels, we subtract 24 from 73 and get 49 nickels.
Answer:
Your selection is appropriate
Step-by-step explanation:
A negative exponent in the numerator is equivalent to a positive exponent in the denominator, and vice versa.
... a⁻² = 1/a²
____
2⁴ multiplies the variable expression no matter which way it is written.
Answer:
40 + 2r
Step-by-step explanation:
Well an hour has 60 minutes.
So 60 x 1/30 = 60/30 = 2 minutes for each person that didn't get into the job
60 x 1/3 = 60/3 = 20 minutes for the people that made it into the job.
20 x 2 = 40 minutes in total for the people that made it into the job.
We don't know how much people got rejected so:
The answer is
40 + 2r
Question 1: 150
Question 2: 50
Question 3: 58% chance
Question 4: Choosing a set of parallel side on a polygon.
Question 5: 1/6
Question 6: 1/5
Question 7: ?
Question 8: Rolling a number greater than 1
Question 9: 1/12
Question 10: 30
Question 11: ?
Question 12: A green marble is selected.
Hope I helped I tried as much as possible.
