Step-by-step explanation:
Given
2a + b = 6......equation 1
a - 6 = b
a = b + 6........equation 2
Putting equation 2 in equation 1
2 ( b + 6 ) + b = 6
2b + 12 + b = 6
3b = 6 - 12
3b = - 6
b = - 6 / 3
Therefore b = - 2
Now
a = - 2 + 6 = 4
hope it will help :)
Answer:
$15
Step-by-step explanation:
Given that :
Aunt's distance = 120 miles
Miles per gallon of Olivia's car = 24 miles per gallon
Cost of gasoline = 3 per gallon
Cost of gasoline for the trip :
(Aunt's distance / miles per gallon) * cost of gasoline per gallon
(120 miles / 24 miles per gallon) * 3
5 * 3 = $15
Cost of gasoline for the trip = $15
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
<h3>What is arithmetic mean?</h3>
Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;

The second and 3rd term are:

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
Learn more about the arithmetic mean here;
brainly.com/question/14831274
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Answer: 
Step-by-step explanation:
Given:

To make
the subject of the formula means that we want to make
to stand alone , the first thing to do is to multiply through by 1/4a , that is

take the square of both sides:
