0.60 km which I got from https://quizizz.com
The answer is $45
Let's make the system of equations.
x - the cost of the car
y - the amount Matthew has
<span>Matthew currently has enough money to buy 45 toy cars:
y =45x
</span><span>If the cost of each car was 10 cents less, Matthew could buy 5 more cars:
y = (x - 10)*(45 + 5)
45x = (x - 0.10) * 50
45x = 50x - 5
5 = 50x - 45x
5 = 5x
x = 5 / 5
x = 1
y = 45x = 45 * 1 = $45</span>
3/4 is the answer because you divide each number by its greatest common factor in this case 5
9514 1404 393
Answer:
n = 24
Step-by-step explanation:
Multiply the given equation by the product of denominators. Then subtract 6n and go from there.
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<em>Alternate solution</em>
Any proportion can be written 4 ways. If we write this one "sideways," we have ...
6/8 = (n -6)/n
1 -1/4 = 1 -6/n . . . . . expand in parallel fashion
6/n = 1/4 . . . . . . . . subtract 1, multiply by -1
n = 24 . . . . . . . . . multiply by 4n
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<em>Another alternate solution (can be done mentally)</em>
The above "sideways" proportion can be reduced to ...
3/4 = (n -6)/n
The difference between values on the left is 1 unit. On the right, the difference between values is 6. (The numerator is 6 less than the denominator.) The denominator on the left (4) is 4 times the difference, so the denominator on the right (n) will likewise be 4 times the difference: n = 4·6 = 24. Check: 3/4 = 18/24.