You need to get the ‘A’ on one side and the numbers on another. So add 4a to the left side which is -3a-11 < 1. Then you add 11 to the right side. So -3a< 12. To get a alone divide it by -3 on both sides. Also, when you divide a negative number the sign gets switched to the the other side so your answer is:
a > -4
Answer:
370 tens = 3700
Step-by-step explanation:
3700/10 = 370
so
370 x 10 = 3700
Answer:
2 with a remainder of 10
Step-by-step explanation:
11 goes into 32 2 times which is 22. Then there is 10 leftover as a remainder.
Answer:
length = 6 cm
width = 1 cm
Step-by-step explanation:
l = length
w = width
l = 4 + 2w
2(4 + 2w) + 2w = 14
8 + 4w + 2w = 14
8 + 6w = 14
6w = 6
w = 1
find length:
l = 4 + 2(1)
l = 6
Answer:
5 hours
Step-by-step explanation:
Let s and w represent hours spent traveling south and west, respectively. The problem statement tells us ...
s + w = 8 . . . . . . total trip time
344s + 351w = 2773 . . . . total mileage (using d = s·t)
By Cramer's rule, we can find the value of s as ...
s = (1(2773) -351(8))/(1(344) -351(1)) = -35/-7 = 5
The plane was heading south for 5 hours.
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<em>Comment on Cramer's rule</em>
For the equations ...
ax +by = c
dx +ey = f
The solution for x can be found to be ...
x = (bf-ec)/(bd-ea)
Similarly, the solution for y is ...
y = (cd-fa)/(bd-ea)
