If you were to write 164 in expanded form, it would be 100 + 60 + 4 = 164
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Ratios don't have to be "per" something, while rates are "per" something.
Ratios compare 2 or more values, as well as rates.
Answer:
y=39
Step-by-step explanation:
73-2y=-5
2y=73-(-5)
2y=73+5
2y=78
y=78/2
y=39
x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
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