Answer: 75 coins total, 51 nickels and 24 dimes.
Step-by-step explanation:
Answer:
The answer to your question is x = 2, y = -1, z = 3
Step-by-step explanation:
Data
x + y + z = 4
x - 2y - z = 1
2x - y - 2z = -1
Solve the system of equations
| 1 1 1 |
| 1 -2 - 1 |
Δ = | 2 -1 -2| = (4 - 1 -2) - (-2 + 1 -4) = 1 + 5 = 6
| 1 1 1 |
| 1 -2 -1 |
| 4 1 1 |
| 1 -2 -1 |
Δx = |-1 -1 -2| = (16 - 1 + 1) - (-2 + 4 + 2) = 16 + 4 = 12
| 4 1 1 |
| 1 -2 -1 |
| 1 4 1 |
| 1 1 -1 |
Δy = | 2 - 1 -2 | = (-2 -1 -8) - (-8 + 1 + 2) = -11 - 5 = -6
| 1 4 1 |
| 1 1 -1|
| 1 1 4|
| 1 -2 1|
Δz = | 2 -1 -1| = (2 - 4 + 2) - (-1 -1 -16) = 0 + 18
| 1 1 4|
| 1 -2 1|
Find x, y and z
x = Δx/ Δ = 12/6 = 2
y = Δy/Δ = -6/6 = -1
z = Δz/Δ = 18/6 = 3
Answer:
the price of the drink to the nearest cent is $2.50
Step-by-step explanation:
1 bag of popcorn = b
1 drink = d
Amelia spends this:
6b + 3d = 18.00
6b = 18 - 3d
b = 18/6 -3d/6
b = 3 - 1/2*d
Nora spends this:
5b + 9d = 31.25
9d = 31.25 - 5b
d = 31.25/9 -5/9*b
now substitute d = 31.25/9 -5/9*b in b = 3 - 1/2*d
d = 31.25/9 -5/9*(3 - 1/2*d)
d = 31.25/9 -15/9 + 5/18d
18/18d - 5/18d = 31.25/9 -15/9
13/18d = 31.25/9 -15/9
d = 18/13 * ( 31.25/9 -15/9 )
d = 2,5
The price of a drink is $2.50
EXTRA
now substitute d = 2,5 in b = 3 - 1/2*d
b = 3 - 1/2*(2.5)
b = 3 - 1.25
b = 1.75
The price of a bag of popcorn is $1.75
Answer: 
Step-by-step explanation:
Given
The area of the base is given by 
The height of the container is 
The volume of the cylindrical container is
Insert the values
Answer:
2/3 + 2/3 + 1/3.
Step-by-step explanation:
You can use equivalent fractions. 6 is 2x more than <u>3</u>. You can use three as the denominator.
