Answer:
16 quarts
Step-by-step explanation:
Let's say x is the volume of water.
Initially, the amount of antifreeze is the concentration times the volume: 0.90 (8).
After the water is added, the amount of antifreeze is the new concentration times the new volume: 0.30 (8 + x).
Since the amount of antifreeze doesn't change, we can set these equal and solve for x.
0.90 (8) = 0.30 (8 + x)
7.2 = 2.4 + 0.30 x
4.8 = 0.30 x
x = 16
16 quarts of water should be added.
Answer:
x ≤ -3 or 1 < x
Step-by-step explanation:
Solve an inequality the same way you would solve an equation, with one exception. If you multiply or divide by a negative number, the inequality symbol is reversed.
... x + 7 ≤ 4 . . . . . left inequality
... x ≤ -3 . . . . . . . subtract 7 to get the x-term by itself
___
... 5 - 3x < 2 . . . . right inequality
... -3x < -3 . . . . . . subtract 5 to get the x-term by itself
... x > 1 . . . . . . . . . divide by -3. Since -3 is negative, we reverse the inequality symbol
The problem statement says the solution is the OR of these, so ...
... x ≤ -3 . . or . . 1 < x
_____
These are graphed on a number line with a solid dot at -3, and an arrow to the left from there; and an open dot at +1, and an arrow to the right from there. (The dot at 1 is open because x=1 is not in the solution set.)
Answer:
false
Step-by-step explanation:
so D(2) is equal to how much money he has after 2 years while D(7) is after 7 years. since he earns 3% interest each year he will have more money after 7 years than 2 years
Answer:
b by itself is 12
Step-by-step explanation:
b is pretty much just the square root of 144 which is 12
31 is the answer because you would do 5 x 3 an that's 15 and if it's squared u technically add 15 a second time