Step-by-step explanation:
yes because 61 is less than 87
Answer:

Step-by-step explanation:
Given

Required
Express in terms of
and 

Express 21 as 7 * 3

Apply law of logarithm

. So, we have:

Rewrite:

Answer:
or
, since
Step-by-step explanation:
According to the question the weight is rejected if it is more than 0.36 oz, the weight should not be beyond 0.36 oz that is from the target weight of 18.25.
We can say that, the difference between the actual weight and the target weight is greater than 0.36 oz.
Lets say the actual weight is 'x'. So,

But there can be times when the actual weight 'x' could be less than 0.36, So the order will be changed:

The absolute value will sum up these two into a single inequality:

Simplifying the inequalities, we get:

(we have added 18.25 on both sides)

Subtracting 18.25 from both the sides we get:

After sign change it is:

So we can see that only
or
since
is the one that represents the scenario given above.
Answer:
(5,7)
Step-by-step explanation:
The given system of equations are :
6x-2y = 16
or
3x-y = 8 ....(1)
3x = 15
or
x = 5 ...(2)
Put the value of x in equation (1).
3(5)-y = 8
15-y=8
15-8 = y
y = 7
Put the value of y in equation (1).
3x-7 = 8
3x = 15
x = 5
So, the solution of the given system of equations are x = 5 and y = 7. i.e. (5,7).