Answer:
1.2 kg
Step-by-step explanation:
filling the jug up half way adds 1.4 kg to the weight.
2 x 1.4 - 2.8 kg of marbles when full
4-2.8 = 1.2 kg
Answer:
Step-by-step explanation:
larger rectangle:
22 x 12 = 264
to find unlabeled rectangle:
18 - 12 = 6
22 - 15 = 7
6 x 7 = 42
total area:
264 + 42 = 306
306/16.25 = 18.83
you can't buy 18.83 cases, so you round up and buy 19
Answer:
b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Step-by-step explanation:
Simplify the following:
-2 a (a + b - 5) + 3 (2 b - 5 a) + b (6 a + b - 8)
-2 a (-5 + a + b) = 10 a - 2 a^2 - 2 a b:
10 a - 2 a^2 - 2 a b + 3 (2 b - 5 a) + b (6 a + b - 8)
3 (2 b - 5 a) = 6 b - 15 a:
10 a - 2 a^2 - 2 a b + 6 b - 15 a + b (6 a + b - 8)
b (-8 + 6 a + b) = -8 b + 6 a b + b^2:
10 a - 2 a^2 - 2 a b - 15 a + 6 b + -8 b + 6 a b + b^2
Grouping like terms, 10 a - 2 a^2 - 2 a b - 15 a + 6 b - 8 b + 6 a b + b^2 = b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a):
b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
a b 6 + a b (-2) = 4 a b:
b^2 + 4 a b + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
6 b - 8 b = -2 b:
b^2 + 4 a b + -2 b - 2 a^2 + (10 a - 15 a)
10 a - 15 a = -5 a:
Answer: b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Answer:
To do this you want to divide 7560 by 4. This leaves you with 1845. Therefore, you need 1845 4-inch stacks to build that high. You are not done though. You need to multiply 1845 by 58. This gives you 107,010. It would take 107,010 quarters to get to the top.
Step-by-step explanation: