Answer:
2.267
Step-by-step explanation:
Step 1 of 3: Add.
Add
Highlighted:14 over 15
14
15
Highlighted:+ Highlighted:8 over 15
8
15
+ 4 over 5
4
5
= Highlighted:22 over 15
22
15
+ 4 over 5
4
5
Step 1 of 3: Add, sub-step a: Add.
Add
14 over 15
14
15
+ 8 over 15
8
15
= ( 14 + 8 ) over 15
14 + 8
15
= 22 over 15
22
15
Step 1 of 3: Add.Hide
Step 2 of 3: Add.
Add
22 over 15
22
15
+ 4 over 5
4
5
= 34 over 15
34
15
Step 2 of 3: Add, sub-step a: Find common denominator.
Find common denominator
22 over 15
22
15
+ 4 over 5
4
5
= ( 22 × 1 ) over ( 15 × 1 )
22 × 1
15 × 1
+ ( 4 × 3 ) over ( 5 × 3 )
4 × 3
5 × 3
= 22 over 15
22
15
+ 12 over 15
12
15
15 is the least common multiple of denominators 15 and 5. Use it to convert to equivalent fractions with this common denominator.
Step 2 of 3: Add, sub-step b: Add.
Add
22 over 15
22
15
+ 12 over 15
12
15
= ( 22 + 12 ) over 15
22 + 12
15
= 34 over 15
34
15
Step 2 of 3: Add.Hide
Step 3 of 3: Simplify.
Simplify
34 over 15
34
15
= 2 and 4 over 152
4
15
Step 3 of 3: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 34 and 15. The result can't be further reduced.
Step 3 of 3: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
34 over 15
34
15
= 2 and 4 over 152
4
15
34 ÷ 15 = 2 remainder 4
The shelf must be at right angles (90 degrees) relative to the wall.
Step-by-step explanation:
Dana concern is that the shelf must be perpendicular to the wall. This means that the angle between the wall and the Dana’s shelf must be 90 degrees.
The term “perpendicular” is sometimes used in the mathematical terminology for the angle of 90 degrees. Hence, the Dana’s shelf must be at 90 degrees relative to the wall. It is to be noted here that straight lines make an angle of 180 degrees. Since the shelf is at 90 degrees, either side of the shelf would be at 90 degrees to the wall.
It would equal about 3.333 % repeating.
Answer: = x > $124.3
Step-by-step explanation:
Alicia's Paycheck = x
Took half money for dinner x/2
She spent $42.15 on dinner and she brought home more than $20.00
.x/2 - $42.15 > $20.00
=> x/2 > $62.15
=> x > $124.3
I hope that helps! Have a great day!!