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: 
Step-by-step explanation:
Given : Distance traveled by Lily= 354 miles
Time= 6 hours
Then,
Hence, the required speed of Lily =
All you do is change signs write 2x minus 14 equals negative 10-14 equals four then you write 2x over two equals four over two then u write x equals negative two
Answer:
a) 0.5
b) 0.75
c) 0.307
Step-by-step explanation:
We are given the following information in the question:
Number of cards in a deck = 52
Formula:
a) P(Heart or Diamond)
Total number of hearts and diamonds in a deck = 13 + 13 = 26
P( Heart or Diamond) =
b) P(Heart or Diamond or Spade)
Total number of hearts, diamonds and spades in a deck = 13 + 13 + 13 = 39
P( Heart or Diamond or Spades) =
c) P(10 or Spades)
Total number of spades in a deck = 13
Number of 10 in a deck = 4
P( 10 or Spades) =
Answer:
y = 2x - 7
Step-by-step explanation:
Use desmos easy and you understand how graphs work
