Answer:
Step-by-step explanation:
You;ll run into this formula a lot. Make sure you study it carefully.
A = 25
a = 5
d = 13
Find n
25 = 5 + 13*(n- 1)
20 = 13(n - 1)
This isn't going to work out. 20/13 does not give a whole number which it should.
Answer:
7.85 cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula.

The diameter is 2.5 centimeters. Therefore, we can substitute 2.5 cm in for d.

Now, find the circumference.
- In terms of pi:



-Using 3.14 as pi



-Using 3.14159... as pi


So these are basically isolating the variables.
The first equation is 3g + 5 =17.
In order to isolate the variable, we would have to get g by itself, that means 5 would have to go. In order to do this, we would do the opposite. Since it is positive 5 we would add negative 5, in order for it to disappear. This works because a positive 5 and negative 5 cancel each other out. Whatever you do to one side of the equation you have to do to the other, since we subtract 5 on one side we have to subtract 5 on the other. Therefore we would do 17-5.
Now we have 3g=12
We know that 3g is basically 3 multiplied by g. The opposite of multiplication is division.Therefore we would divide by 3 on both sides.
The answer to the first question would be g= 4.
And if you want to check if your answer is correct you plug the value in.
So
3(4) + 5 =17
Answer:
4 hours
Step-by-step explanation:
The general formula for distance, rate and time is:
d = rt, where distance is the product of rate multiplied by time
Given that one train is moving at a rate of 70 mph and one is moving at a rate of 62 mph in the opposite direction, the combined distance over time is equal to 528 miles. Using the variable 't' for time:
70t + 62t = 528
Combine like terms: 132t = 528
Divide both sides by 132: 132t/132 = 528/132 or t = 4 hours