The root
can be converted into the power
. Therefore we can rewrite the problem as
and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.
Thus the problem becomes
, which then can be turned into
![\sqrt[8]{10} ^{3x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B10%7D%20%5E%7B3x%7D)
, making the last option our answer.
Chocolate thickshakes will cost $5 and fruit smoothies will cost $3. Let's say the cost of chocolate thickshakes are x and the cost of fruit smoothies are y.
3x + 4y = 27
3x + 3y = 24
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.
What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?
Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L
Now, add both synthetic oil and natural oil to find amount of petrolyn oil.
355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
Answer : b. $65.10
1 appetizer: $7.39=7.39
2 entrees: $16.99 each= 2 * 16.99=33.98
1 dessert: $5.29= 5.29
2 drinks: $2.30 each=4.6
cost = 7.39 + 33.98 + 5.29 + 4.6 =$51.26
7% tax = 51.26 * 0.07 = 3.5882
20% gratuity = 51.26 * 0.2= 10.252
Total cost = 51.26 + 3.5882 + 10.252 =65.1002
the total amount = $65.1
311,225,823,387,830,850,069
Oof
