The answer would be 11 gallons.
The tub starts with 32 gallons. Every minute it loses 3 gallons.
So after 1 minute it has lost 3 gallons. For example:
32-3= 29 Meaning that after 1 minute the tub has 29 gallons left.
Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.
We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
7 X 3
This is the same as saying we have 3, 7 times. Written like this:
3+3 +3 +3 +3 +3 +3 = 21
So after 7 minutes the tub has lost 21 gallons.
Now we take the original number of gallons and take away what was lost:
32-21=11
So there are 11 gallons left after 7 minutes.
Please let me know if you need any further explanation. Hope this helped.
Answer:
slope is -1
Step-by-step explanation:
slope is
m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1
Answer:
C
Step-by-step explanation:
You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.
A) The answer is
x + y + z = 24
3x + 2y + z = 53
x = y + z
x - the number of swimmers in the first place
y - the number of swimmers in the second place
z - the number of swimmers in the third place
<span>1. The e-mail states that 24 individuals placed: x + y + z = 24
2. </span>First place earned 3 points, second place earned 2 points, and third place earned 1 point, <span>earning a combined total of 53 points: 3x + 2y + z = 53
3. </span><span> There were as many first-place finishers as second and third-place finishers combined: x = y + z
The system of three equations is:
</span>x + y + z = 24
3x + 2y + z = 53
x = y + z
B) The answer is
12 swimmers in the first place
5 swimmers in the second place
7 swimmers in the third place
(i) x + y + z = 24
(ii) 3x + 2y + z = 53
(iii) x = y + z
______
Substitute y + z from the third equation into the first one:
(i) x + y + z = 24
(iii) x = y + z
______
x + x = 24
2x = 24
x = 24 / 2
<u>x = 12</u>
_____
x = y + z
x = 12
y + z = 12
z = 12 - y
3x + 2y + z = 53
3 * 12 + 2y + (12 - y) = 53
36 + 2y + 12 - y = 53
2y - y + 36 + 12 = 53
y + 48 = 53
y = 53 - 48
<u>y = 5</u>
z = 12 - y
z = 12 - 5
z = 7
