Answer:
See below:
Step-by-step explanation:
If we do this, we know that 2 gallons takes 14 seconds. (2:14)
Based on that data, we can know that 1 gallon takes 7 seconds. (1:7)
-> 2/14 = 1/7
Now we can multiply by 12 to get 12 gallons on one side.
What we do on one side has to happen to the other side.
So, 12 gallons * 1 gallons = 12 gallons and 12 gallons * 7 gallons = 84 gallons.
So the final answer is 85 gallons,
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-A terminating decimal is a decimal that NEVER ends
1/15 = 0.666666666.....
Therefore, 1/15 is a terminating decimal.
Step-by-step explanation:
the length of the third side could be 6
As in order to form a triangle The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
so Here
8 + 3 > 6
11 > 6 ( True) ✔
8+ 6 > 3
14 > 3 ( True) ✔
6 + 3 > 8
9 > 8 ( True) ✔
Hope it will help you :)
Hi there!
Question 1:
For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:

Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is:
). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:


Now, subtracting the numerators, we get:
yards of string will remain.
Question 2:
For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:

Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time:
). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:


, which is equivalent to (dividing both the top and the bottom by 2)
inches.
Hope this helps!