7. A vending machine only accepts dimes and quarters. There are 85 coins
1 answer:
There are 55 quarters and 30 dimes in the machine.
Step-by-step explanation:
Total coins = 85
Total amount = $16.75 = 16.75*100 = 1675 cents
1 quarter = 25 cents
1 dime = 10 cents
According to given statement;
x+y=85 Eqn 1
25x+10y=1675 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 15
Putting in Eqn 1;
There are 55 quarters and 30 dimes in the machine.
Keywords: linear equation, subtraction
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Answer:
test statistic, z = −1.74
Step-by-step explanation:
given data
students n = 100
mean time x = 41.13 seconds
σ = 5
we consider µ = 42
solution
we get here The test statistic that is express as
test statistic, z = ......................1
put here value and we will get
test statistic, z = \frac{41.13-42}{\frac{5 }{\sqrt{100}}}
test statistic, z = −1.74