D is the answer because 3:1 is a ratio is 3*1=3 so 3 times as the scale object
We can solve
<span>7/9 > x/13
for x.
multiply both sides by 13:
</span>
7/9 > x/13
7/9*13 > x/13 * 3
<span>7/9*13 > x
91/9 > x
reverse it to get
x < 91/9
this says that x has to be less than 91/9 for the inequality </span><span>7/9 > x/13 to be true.
91/9 in decimal form is 10.1 repeating.
the greatest integer x is therefore 10
answer is 10
can verify:
7/9 > x/13
7/9 is approximately 0.777777 so
0.7777 > x / 13
for x = 10, we have 10/13 = 0.7692. and 0.7777 is bigger than that
try next integer. at x = 11, we have 11/13 = 0.8462. this is bigger than 0.7777
so the answer is 10. that's the greatest integer
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Answer:
I'm pretty sure it is (2,0)
Can you please show us the excerpt? :)
Answer:
<em>Both buckets will have the same amount of water after 25 minutes</em>
Step-by-step explanation:
<u>Equations</u>
Let's call:
t = number of minutes elapsed for both buckets
The red bucket already has 200 L of water and it's flowing in at a rate of 6 liters per minute. Thus, the volume of water in this bucket is:
R = 200 + 6t
The blue bucket has 500 liters of water and is being drained at 6 liters per minute. The volume can be modeled by the equation:
B = 500 - 6t
The condition for both buckets to have the same amount of water is:
R = B
200 + 6t = 500 - 6t
Adding 6t and subtracting 200:
6t + 6t = 500 - 200
12t = 300
t = 300/12
t = 25 minutes
Both buckets will have the same amount of water after 25 minutes