Answer:
Keisha bought 3 sandwiches and 5 lemonades.
Equations: x + y = 8 2x + y = 11
Step-by-step explanation:
To solve a problem with two variables, you need to set up a system of equations comparing the two variables and solve using either substitution or elimination. If 'x' represents the number of sandwiches and 'y' represents the number of lemonades, then x + y = 8 because they bought a total of 8 items. Also, the cost of each item is given as well as the total amount of money spent. So, our second equation is: 2x + y = 11. We can use inverse operations to solve for 'y' in the first equation: x + y - x = 8 - x which simplifies to: y = 8 - x. We can then use this expression to substitute in for the variable 'y' in the second equation: 2x + 8 - x = 11.
Combine like terms: x + 8 = 11
Inverse Operations: x +8 - 8 = 11 - 8
Solve: x = 3, so Keisha bought 3 sandwiches
Solve for y: y = 8 - 3 = 5, so Keisha bought 5 lemonades
Hey there. So basically, find out how much the pencils and notebooks cost first.
The notebooks cost = $3.25
The pencils cost = $0.50
Then, think about what you need to figure out in this problem.
Jake has $20. You need to find how many notebooks Jake can buy in maximum after buying 8 pencils.
If Jake buys 8 pencils that costs $0.50 each, he spends $4 on the pencils.
So now, to find out how many notebooks he can buy, do 20 minus 4.
Jake's got $16 left.
If the notebooks cost $3.25 each, we need to find out how many notebooks he can buy by dividing them. So, 16 divided by 3.25 equals 4.923... and so on.
That means, Jake can buy 4 notebooks with his remaining money.
Answer:
135
Step-by-step explanation:
Order of Operations: Parentheses first, then power, then division!
Answer: 
Step-by-Step Explanation:
Let's solve for
.

Step 1: Multiply both sides by
.

Step 2: Multiply both sides by
.

Step 3: Add
to both sides.


Step 4: Add
to both sides.


Step 5: Add
to both sides.


Step 6: Factor out variable
.

Step 7: Divide both sides by
.


Answer:
