If you're asking how do you increase 65 by 30% first you convert 30% to a decimal then you take that number multiply it by 65 then add that number to 65
30% to decimal is 0.3
65 x 0.30 is 19.5
19.5 + 65 is 84.5
The answer is A) 33 Spare Units
Answer:(5-3)=42
Step-by-step explanation:
Answer:
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Test worth 80 points
Multiple-choice questions are worth 2 points
Short-answer questions are worth 4 points
Multiple-choice questions + Short-answer questions = 25
2. How many multiple-choice questions are there?
Let's solve this problem, this way:
m = Multiple-choice questions
s = Short-answer questions
Our equations system is:
m + s = 25
2m + 4s = 80
Solving for m in the 1st equation:
m + s = 25
m = 25 - s
Substituting m in the 2nd equation and solving for s:
2m + 4s = 80
2 * ( 25 - s) + 4s = 80
50 - 2s + 4s = 80
2s = 80 - 50
2s = 30
<u>s = 30/2 = 15</u>
Substituting s in the 1st equation and solving for m:
m = 25 - 15
<u>m = 10 </u>
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
Given that
z₁ = 15 (cos(90°) + i sin(90°))
z₂ = 3 (cos(10°) + i sin(80°))
we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:
z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))
z₁/z₂ = 5 (cos(80°) + i sin(80°))
so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.