Answer:
2/3
Step-by-step explanation:
Let n = the repeating, non-terminating number 0.666...
We now have n = 0.666666...
We want the number n in the form of a fraction.
Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.
10n = 6.666666...
n = 0.666666...
Subtract the bottom equation from the top equation.
9n = 6
n = 6/9
n = 2/3
The members of a book club spend $0.4 for each Bagel as refreshment.
Let x represent the cost of each bagel.
At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:
Cost = 6x + 9
At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:
Cost = 8x + 8.20
Since the same money is spent on each meeting, hence:
6x + 9 = 8x + 8.2
2x = 0.8
x = $0.4
Therefore the cost of each bagel is $0.4
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Answer:
$13,640
Step-by-step explanation:
money that need to pay for the tuition for all four years
=$16,110×4
=$64,440
the money he had
=$45,800+$5,000
=$50,800
the difference
=$64,440-$50,800
=$13,640
Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
