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:
b.10 inches
Step-by-step explanation:
The formula for the area of a triangle is the base times the height, divided by 2. Or in simple forms, bh/2
Answer:
dT/dt = k(T-75)
Step-by-step explanation:
dT/dt = the rate of change of the egg's temperature T with respect to time t
k = constant
(T-75) = difference between the egg's temperature and the room temperature 75 degree
Answer:
3x = 51
Step-by-step explanation:
Three and a variable multiplied equals 51.
