Hello.
For every 3 eggs, 4 dozens of cookies could be made, it is a pattern. Follow the pattern to find out how much could be made with a dozen eggs.
3 eggs = 4 dozen (48)
6 eggs = 8 dozen (96)
9 eggs = 12 dozen (144)
12 eggs = 16 dozen (192)
A dozen eggs could make 192 cookies.
Answer:
x is the price of the meal
(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.
Step-by-step explanation:
The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.
Answer:
x = 6, y = -11
Step-by-step explanation using the substitution:
Solve the following system:
{y = 7 - 3 x
{x = -2 y - 16
Hint: | Perform a substitution.
Substitute y = 7 - 3 x into the second equation:
{y = 7 - 3 x
{x = -2 (7 - 3 x) - 16
Hint: | Expand the right hand side of the equation x = -2 (7 - 3 x) - 16.
-2 (7 - 3 x) - 16 = (6 x - 14) - 16 = 6 x - 30:
{y = 7 - 3 x
{x = 6 x - 30
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 7 - 3 x
{x = 6 x - 30
Hint: | Isolate x to the left hand side.
Subtract 6 x from both sides:
{y = 7 - 3 x
{-5 x = -30
Hint: | Solve for x.
Divide both sides by -5:
{y = 7 - 3 x
{x = 6
Hint: | Perform a back substitution.
Substitute x = 6 into the first equation:
{y = -11
{x = 6
Hint: | Sort results.
Collect results in alphabetical order:
Answer: x =6, y = -11
Answer:
yes
Step-by-step explanation:
