Answer:
14/11
Step-by-step explanation:
A rational number times a rational number is rational
A rational number is written as a/b
14/11 * 1/2 = 7/11
This is rational
Answer:
-33 or 33
Step-by-step explanation:
The seventh term of an AP is written as:

The eleventh term of an AP is written as:

If the 7th term is 11 times the 11th term, then;

Expand to get:





We must have a=-52 and d=5
Or
a=52 and d=-5
For the first case, the 18th term is :

For the second case,

Answer:
.
Step-by-step explanation: We are given expression
.
And
expression is converted in
.
Now, we need to transform the expression into a single exponent expression using the properties of exponents.
We know, according to the properties of exponents

Applying same rule in given expression, we get

On simplifying exponents, we would get t in exponent.
=
.
16/20
Simplified to 8/10
Again simplified to 4/5.
The answer is 208. The equation to get this is m=29g-140 where m is miles and g is the gallons. Plug 12 in for g and solve for m. 29 * 12 = 348, 348-140 = 208. Therefore, m=208.