Answer:
Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?
Answer: 348 and 355
Step-by-step explanation:
Let two positive numbers are x and y
so,
when the difference is 7 then equation will become
x-y=7 Eq(1)
when product is 2439 then equation will become
x*y=2438 Eq (2)
By rearranging Equation (2)
x= 2438/y Eq(3)
Now put the value of x as in eq (3) in eq(1) to get y's value
(2438/y)-y=7
(2438-1)/y =7
2437 / y =7
2437/7 =y
y=348.14 approx 348
Put the value of y in Eq(1) for x
x-348=7
x=7+348
x=355
so the two positve numbers are 355 and 348
For Check
x-y=7
355-348=7
7=7
Answer:
it either -1 or 5 but I'm pretty sure it's -1
Answer:
First, denote the number of dimes as x, and the number of quarters as y.
Since the total number of coins equals 61, we can write the following equation: x + y = 61
Since the total value of the coins equals $10.90, and we know that a quarter is worth $0.25 and a dime is worth $0.10, the total value can be expressed as a function of the number of quarters and dimes: $0.10*x + $0.25*y = $10.90
Now, we have two equations and two variables, meaning we can solve the 2x2 system!
Rewrite the first equation in terms of x: x = 61 - y
Now substitute this expression into the second equation: $0.10*(61-y) + $0.25*y = $10.90
Solve for y: $.15*y = $4.80, y = 32
Substitute back into the first equation to get x: x = 29
She indeed has 3 more quarters than dimes since 32-29= 3, so we did it right (:
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
