Answer:
Step-by-step explanation:
<u>Log both sides:</u>
- log 10^x = log 9
- x log 10 = log 9
- x*1 = log 9
- x = log 9
Correct choice is A
Step-by-step explanation:
5. 6x-8=9x+4
6x - 9x = 4+8
-3x = 12
x = -4
check, 6(-4) - 8=9(-4) + 4
-24-8 = -36+4
-32 = -32
6. 5a - 10 = 9a - 6
5a-9a = -6+10
-4a = 4
a = -1
check, 5(-1) -10 = 9(-1) -6
-5-10 = -9-6
-15 = -15
7. 8m-24 = 9-3m
8m + 3m = 9+24
11m = 33
m = 3
check, 8(3)-24 = 9- 3(3)
24-24 = 9-9
0 = 0
8. 10- 3z = z + 30
10-30 = z +3z
-20=4z
-5 = z
check, 10 - 3(-5) = (-5)+30
10+15 = 25
25=25
9. 3k - 14 = 10 +5k
3k - 5k = 10+14
-2k = 24
k = -12
check, 3(-12)-14 = 10+5(-12)
-36-14 = 10-60
-50 = -50
10. 6c + 8 = 2c -16
6c - 2c = -16-8
4c = -24
c = -6
check, 6(-6)+8 = 2(-6) - 16
-36 + 8 = -12 - 16
-28 = -28
Answer:
280 students
78260 minutes
307.45 minutes per day
Step-by-step explanation:
A We multiply the total number of students by the fraction that are high schoolers to determine the total number of high schoolers
700 * 2/5 = 280
There are 280 high schoolers
B The total time high schoolers spend in school is the time 1 student spends in school times the number of students
279.5 * 280 =78260 minutes
C The high schoolers spends 279.5 minutes in class
10% = .1
We need to add 10% to this time
279.5 * 10%
279.5 * .1 = 27.95
Add this because they spend 10% more time
279.5 + 27.95 =307.45 minutes
