Answer:
x=6
Step-by-step explanation:
Combine like terms:
6 - 8x = -2x - 30
add -2x to both sides:
6 - 8x +2x = -30
Combine like terns:
6 - 6x = -30
subtract 6 from both sides:
-6x = -30 - 6
Combine like terms:
-6x = -36
Divide by -6 on both sides:
x=6
This is the concept of algebra, given that the area of a rectangular pool is (15x-9), the possible dimensions of the pool by factoring will be:
Area=length×width
Area=(15x-9)
factoring the above we get:
Area=3(5x-3)
therefore the possible dimension will be:
length=5x units
width=3 units
Answer:
243 people
Step-by-step explanation:
Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
The ratio is given as:
Caretakers : Children
2 : 7
= In fraction = 2/7
If there are 189 total children, then how many people are at the daycare facility?
Step 1
We calculate the number of caretakers is there are 189 children
7 children = 2 caretakeras
189 children = x
Cross Multiply
7x = 189 × 2
x = 189 × 2/7
x = 54 caretakers
Step 2
The total number of people at the daycare
= 189 children + 54 caretakers
= 243 people