Answer:
x<1 x>-7
Step-by-step explanation:
|x+3|<4
We know x+3<4 and x+3>−4
x+3<4 (Condition 1)
x+3−3<4−3 (Subtract 3 from both sides)
x<1
x+3>−4 (Condition 2)
x+3−3>−4−3 (Subtract 3 from both sides)
x>−7
Answer:
x<1 and x>−7
Answer:
4 < 2
Cause 4 is much bigger that 2
Answer:
7 quarts = 28 cups
10 cups = 2.5 quarts
Step-by-step explanation:
In order to solve the two different questions in the problem, starting with a ratio of the number of quarts to the number of cups would be helpful:

So, for every 1 quart of milk, she can pour 4 cups. Using this ratio, we can set up equivalent ratios, or proportions, to solve for the missing value. For the first question, we need to know that amount of cups in 7 quarts:

We can solve for 'x' by multiplying the numerator and denominator by the same factor, in this case '7'. So, 4 x 7 = 28 cups.
Next, we need to solve for the amount of quarts needed for 10 cups:

4 x 2.5 = 10, so we need to multiply the numerator by 2.5: 1 x 2.5 = 2.5 quarts.
Answer:
The probability is 0.022
Step-by-step explanation:
Firstly, we need to get the total number of balls in the urn
mathematically, we have this as ;
8 + 9 = 17
now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls
Mathematically, we have this as 9/17
Now, since the event is carried out with replacement, the probability for the six times is the same
So, we have the probability as;
(9/17)^6 = 0.022