Answer:
154 students
Step-by-step explanation:
First get the total number of students .
This can be gotten by
12% of A = 21
Where A represents the total number of students.
12% represents the % of A that chose to study French and 21 is the number of students that studied French .
Therefore,
12% /100% x A = 21
0.12 x A = 21
Divide both sides by 0.12
0.12/0.12 x A = 21/0.12
A = 175
The total number of students is 175.
If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.
That’s
175 - 21
= 154
154 students chose not to study French their freshman year
Answer:
<u>77.4 degrees and 12.6 degrees</u>
Step-by-step explanation:
Let the angles be x and x - 64.8.
Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :
x + x - 64.8 = 90
2x = 154.8
x = <u>77.4 degrees</u>
x - 64.8 = 77.4 - 64.8 = <u>12.6 degrees</u>
This is how you solve this problem:
.10d + .05n = 5.25
(plug in the number of dimes we have)
(21 x .1) + .05n = 5.25
(multiply number of dimes x value of the dime)
2.10 + .05n = 5.25
(subtract 2.10 from both sides)
.05n = 3.15
(divide both sides by .05 to get the number of nickels)
n = 63 nickels
Hope this helps!

has characteristic equation

which has roots at

. The negative root has multiplicity 2. So the general solution is