Answer: the number is 3.
Step-by-step explanation:
(x × 10) + 6 = 36
[(3) × 10] + 6 = 36
Answer:

small cups=30
large cups=40
Step-by-step explanation:
let x be the number of small cups and y the number of large cups.
-Given that 10 more cups than small cups of lemonade were sold:

#Before the 10 more were sold, the number of x and y sold were equal>

The number of small cups sold was 30
#Since, the number of large cups was 10 more, y=x+10=30+10=40
For this case we have the following equation:

Rewriting we have:

Dividing by 2 to both sides of the equation:

We apply the quadratic formula:

We have to:

Substituting:

Thus, we have two roots:

ANswer:

Answer:
x = 9
Step-by-step explanation:
Using the rule of exponents
×
⇔ 
Given
=
×
=
= 
Since the bases on both sides are common, then equate the exponents
x = 9