Answer and explanation:
Benchmark fractions are fractions that are used as references in measuring other fractions. They are easily estimated and so can be used in measuring more "specific" fractions such as 1/5, 7/9, 3/7, 1/3 etc. If I wanted to measure 1 1/3cm for instance using a calibrated ruler, having centimeter measurements, I would first find 1cm on the ruler and then find half of one centimeter. Seeing that half is bigger than 1/3 but close, I could then estimate 1/3 to be somewhere less than 1/2 but a bit close to it
Given : Brandon buys a radio for $45.99 .sales tax rate is 7%.sales tax is a consumption tax imposed by the government on the sale of goods and services.
Let the price of Radio before the sales tax be $x. Sales tax on $x is 7% x.
Price before sales tax + Amount of sales tax= Cost of Radio.
x+7%x =45.99
Or x+0.07x=45.99
1.07x=45.99
Dividing both sides by 1.07.
x= 41.11
Cost of Radio before tax = $41.11
Sales tax paid = 43.99-41.11= 2.88
Tax paid = $2.90 (To nearest cent)
If you're looking for the solution to the system of equations, here's how we solve using substitution
We know that y = x - 1, so we can plug that into the first equation giving
2x - 3(x-1) = -1
Now distribute the 3 giving 2x - 3x + 3 = -1. After combining like terms we get -x + 3 = -1. Now subtract 3 from both sides, -x = -4, and multiply both sides by -1 to make x positive. x = 4
Now we can plug that into the second equation to get y
y = x - 1, and we know that x = 4, so y = 4 - 1, y = 3. The solution is (4, 3)
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