(1/2)(n - 4) - 3 = 3 - (2n + 3
Distribute the (1/2) on the left and the -1 on the right.
(1/2)n - 2 - 3 = 3 - 2n - 3
Combine like terms.
(1/2)n - 5 = -2n
Add 2n to both sides and add 5 to both sides
2.5n = 5
Divide both sides by 2.5
n = 2
All you do is multiply 22 times 8 which is 176 then you multiply 8*4
Answer:
Dimension of room = 18 foot x 18 foot
Step-by-step explanation:
Let the square room is of side a foot,
The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot
Total cost is $1773.
Cost for re-finishing the hardwood floors = Area x 2.25
Area = a²
Cost for re-finishing the hardwood floors = 2.25 a²
Cost of purchasing and installing the new baseboards = Perimeter x 14.5
Perimeter = 4a
Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a
Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards
1773 = 2.25 a² + 58a
2.25 a² + 58a - 1773 = 0
a = 18 or a = -43.77(not possible)
Dimension of room = 18 foot x 18 foot
Answer:
BCD is the outer angle of triangle ABC
=> BCD = ABC + BAC
<=> 150⁰ = ABC + 118⁰
=> ABC = 150⁰ - 118⁰
<=> ABC = 32⁰
Hi. Here are the answers and I am attaching a file that shows how I got them.
1. The simplified answer is: -5/12
2. The simplified answer is: - 1 1/5
3. The simplified answer is: - 1 7/10
4. The simplified answer is: 1 5/6
5. The simplified answer is: 1 2/3
Hope this helps.
Take care,
Diana