Answer:
x > - 8 or x < 2
Step-by-step explanation:
Given
- 8 < 2(x + 4) or - 3x + 4 > x - 4
Solve each part separately
- 8 < 2(x + 4) ← divide both sides by 2
- 4 < x + 4 ( subtract 4 from both sides )
- 8 < x , thus
x > - 8
OR
- 3x + 4 > x - 4 ( subtract x from both sides )
- 4x + 4 > - 4 ( subtract 4 from both sides )
- 4x > - 8
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity
x < 2
Solution is x > - 8 or x < 2
Answer: probability of Jake took 2 reds marbles = 3/52
probability of John took 1 blue marble = 1/8
Step-by-step explanation:
Okay, I will assume in this problem that the sample is not replacement, which means after Jake took 2 marbles, he didn't put it back into the sample.
The total of the sample = 20 + 10 +5 +5
Probability of Jake took the 1st red marble is 10/40 because there are 10 marbles in a whole bag of 40 marbles. Once Jack picked the 1st red marble out, there are only 9 red marbles left, thus the probability of the 2nd red marble is 9/39.
=> probability of Jake took 2 reds marbles = (10/40) *(9/39) = 3/52
and it goes the same way for John, except we only need to find 1 blue marble so we don't have to multiply anything here.
=> probability of John took 1 blue marble = 5/40 = 1/8
Answer:
Step-by-step explanation:
She needs 12 pizzas
x + y = 12
She also can't spend more than 180 dollars.
8x + 11y < 180 She can get all 12 pizzas and have the bill come to 132 dollars
11 * 12 = 132
She could really be kind to her pocket book and get all cheese pizzas
8*12 = 96 which saves her 36 dollars.
So any number of either kind will do.
(0,12) = 132
(1,11) = 8*1 + 11*11 = 129
and so on down the line
Not quite understand the question. We assume that the issue of ratios of numbers of 800 and 8000.
Then 800 is one-tenth of the 8,000 800 other words is 10% of 8000.
Conversely, 8000 it ten times at 800 and 1000% of 800.