What is the solution for x in the equation? -x + 3/7 = 2x - 25/7
1 answer:
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Answer:
1. $2,520.00
2. 0.0%
3. 3%
4. $661.5
5. $727.00
6. $1,736.96
8. $3,250.00
10. 2%
Step-by-step explanation:
1.
We solve for the original price by solving first for the reverse value of the %off.
In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.
r = 2.0% or 0.02
Now we solve for the rate by subtracting r to 1.
r = 1 - 0.02
r = 0.98
Now that we have r we divide the discounted price by r.
Original price = 2,469.60 / 0.98
Original price = $2,520.00
2.
Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.
r = 0.0%
3.
To find the rate we first need to subtract the original price to the discounted price to find the decrease.
$850 - $824.50 = $25.50
Now that we have the decrease we can find the rate by using this formula:
4.
To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.
5.
Since the %off is 0.0% then the discounted price is equal to the original price.
$727.00
7.
To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.
8.
We solve for the original price by solving first for the reverse value of the %off.
In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.
r = 3.0% or 0.03
Now we solve for the rate by subtracting r to 1.
r = 1 - 0.03
r = 0.97
Now that we have r we divide the discounted price by r.
Original price = 3,152.50 / 0.97
Original price = $3,250.00
10.
To find the rate we first need to subtract the original price to the discounted price to find the decrease.
$4,567.00 - $4,475.66 = $91.34
Now that we have the decrease we can find the rate by using this formula:
(a) 32 orange marbles
the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )
the ratio of green : orange = 3 : 8 ( equal ratio )
divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles
3 parts → 12
8 parts → 12 × = 32 orange marbles