First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
Answer:
okay
vertex:(2,4)
domain: (-∞,∞)
range: [4,∞)
Step-by-step explanation:
to find the vertex from the equation
f(x) = (x − 2)² + 4
an easy way is to use the numbers given. so the vertex of this equation is x= 2 (because it is always the opposite of itself in the equation) and y= 4 because the point is going up 4.
to find domain is easy. domain is on the x-axis so the equation is a parabola so it has to points at the same direction. therefore it has a domain that goes from negative infinity to positive infinity.
lastly to find range, which is on the y-axis is to find from where the parabola starts and is pointing, either up or down. in this equation the vertex, which is also the starting point starts at 4 and continues to go on- to infinity.
ps i hope this helps.
Answer:
C
Step-by-step explanation:
Answer:
Highest mean:plot 1
Highest:median:plot1
Highest range:plot2
Highest interquartile ranges:plot 2
Step-by-step explanation:
I got it right
Answer:
2.86310
Step-by-step explanation:
It is small but is larger than two
