Answer:
42. Graph a
43. Not possible.
44. Graph e
45. Graph c
46. Graph b.
Step-by-step explanation:
42. 7x + 13 ≥ 55
⇒ x ≥ 6
So, it matches graph a.
43. 12x - 8 > 4(3x + 2)
⇒ 12x - 8 > 12x + 8
Hence, d. not possible.
44.
⇒
⇒ x > - 8
Hence, graph e matches.
45. - 4(- 2x + 3) ≤ 5 + 8x
⇒ 8x - 12 ≤ 5 + 8x
⇒ - 12 ≤ 5
This is true for all values of x, hence that matches graph c.
46. - 4(x + 3) > 8(x + 3)
⇒ - 4x - 12 > 8x + 24
⇒ 12x < - 36
⇒ x < - 3
Hence, graph b matches the situation. (Answer)
Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
the anser to that problem is -1/3
Answer:
Seven numbers.
Step-by-step explanation:
Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.
Lets look into numbers which are odd and single digit.
1 =
∴ Sum of the number is
3 =
∴ Sum of above number is
5 =
∴ Sum of above number is
7=
∴ Sum of above number is
Now, accumlating numbers which are fullfiling the criteria, however, making sure no number should get repeated.
∴ Numbers are:
Hence, there are total 7 numbers, which are equal to the sum of two odd, one-digit numbers.