3/5 is 60% 3/15 is 20% divide 60% by 20% and you have a 3 hope this helps
Answer:
See both answers in the explanation
Step-by-step explanation:
Given data
Cost of dinner= $32
TIp=18%
Let us find the amount of the tip
=18/100*32
=0.18*32
=$5.76
Hence the total amount paid is
=5.76+32
=$37.76
The Tip is
=$5.76
<h3>Answer:</h3>
C. The playable area has a width of 9 inches and a height of 6 inches.
<h3>Explanation:</h3>
There are a number of ways you can get there.
1. Check the answers to see which have the right area and aspect ratio.
- A: area = 24 in² — does not match 54 in²
- B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio
- C: area = 54 in², aspect ratio 9:6 = 3:2 — <em>matches problem statement</em>
- D: area = 121.5 in² — does not match 54 in²
2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.
3. You can write equations for width and height and solve.
Substituting w=3/2·h into the second equation gives
... (3/2)h·h = 54
... h² = 36 . . . . . multiply by 2/3
... h = √36 = 6 . . . . square root, result in inches . . . . matches selection C
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!
Answer: If x is odd then x + 2 is going to be the next odd integer
Step-by-step explanation:
Set up the equation and solve.
x + x + 2 = 92 This is the equation. Collect like terms.
2x + 2 = 92 Subtract 2
2x = 90 divide by 2
x =45
x + 2 = 47
45 + 47 = 92.
So x + 2 is the next odd number after x.
