Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Answer:
plugging in the fractions into a calculator would make this super easy
Step-by-step explanation:
5/6 = six divided by five, right? okay so just that down and solve it
Fractions are just a number divided by another number to get a percentage
Think about 1/2, thats 50 percent right? Its half of something
So yeah, you just gotta divide both sides and see which number is bigger, for example
5/6= 0.833
and
3/8= 0.375
So which number is bigger? 0.83 is bigger of course sooooo
5/6 > 3/8
Answer: x= 1/4 + 1/2y
Step-by-step explanation:
y-4x + y= -1
2y - 4x= -1
-4x= -1 - 2y
x= 1/4 + 1/2y
48 it is counting up by odd numbers (3,5,7,9,11, 13
Answer:
Step-by-step explanation:
Given
--- scale factor
Required
Relationship between ABC and A"B"C"
implies that the sides of A"B"C" are bigger than ABC
i.e.
In
Divide both sides by A"B"
Divide both sides by 2
Rewrite as:
(a) is correct
