<span>Carl has 3 bags in total. One backpack weighs 4 kg and the rest two checking bags have the equal weight. The total weight of 3 bags is given to be 35 kg.
Let the weight of each checking bag is w kg. So we can write:
2 x (Weight of a checking bag) + Weight of Backpack = 35
Using the values, we get:
2w+ 4 = 35
Using this equation we can find the weight of each checking bag, as shown below.
2w = 31
w = 31/2
w = 15.5
Thus, the weight of each checking bag is 15.5 kg
</span>
Answer:
- 75 and - 28
Step-by-step explanation:
To evaluate f(6) substitute x = 6 into f(x)
f(6) = - 2(6)² - 3 = - 2(36) - 3 = - 72 - 3 = - 75
Similarly
g(5) = - 5(5) - 3 = - 25 - 3 = - 28
Your question is incomplete, here is the complete form.
Points J, K and L are collinear with J between L and K. If KJ = 2x - 3, LK = 9x + 7 and LJ = 4x - 8, solve for x:
Answer:
The value of x is -6 ⇒ B
Step-by-step explanation:
∵ J, K, and L are collinear
→ That means they form a straight segment
∵ J is between K and L
→ That means J divides LK into two segments KJ and LJ
∴ LK = KJ + LJ
∵ LK = 9x + 7
∵ KJ = 2x - 3
∵ LJ = 4x - 8
→ Substitute them in the equation above
∴ 9x + 7 = (2x - 3) + (4x - 8)
→ Add the like terms in the right side
∵ 9x + 7 = (2x + 4x) + (-3 - 8)
∴ 9x + 7 = 6x + -11
∴ 9x + 7 = 6x - 11
→ Subtract 7 from both sides
∵ 9x + 7 - 7 = 6x - 11 - 7
∴ 9x = 6x - 18
→ Subtract 6x from both sides
∵ 9x - 6x = 6x - 6x - 18
∴ 3x = -18
→ Divide both sides by 3
∵ 
∴ x = -6
∴ The value of x is -6
First you want to break down both numbers to prime factors so for 10 you would get 10=2x5 and 14 you would get 14=2x7 then you will want to take the greatest common factor of both which is 2 because it is the only factor that is shared between the two then you take the two beginning numbers and divide them by 2 because it is the greatest common factor and 5/7 is your anwser
Answer:
|-5|>4
Step-by-step explanation:
Negative 5 in absolute value is 5 since any number in absolute value turns out positive or at the very least 0. 5 is greater than 4, so |-5|>4.
