−6.5(n−5)=18.2
distribute
-6.5n +32.5 = 18.2
subtract 32.5 from each side
-6.5n = -13.4
divide each side by -6.5
n=2.2
Answer n=2.2
5a + 4.75b = 72.50 is the equation in standard form to represent the situation
<h3><u>Solution:</u></h3>
Let the number of bucket sold be ‘a’ at $5 each and the number of hotdogs sold be ‘b’ at $4.75 each. Then after 1 hour she makes $72.50
So, on the basis of the above problem we can make an equation as follows:-
<em><u>The equation for number of popcorn and hotdogs sold after 1 hour:
</u></em>
$72.50 = number of bucket sold x price of popcorn per bucket + number of hotdogs sold x price of hotdog
72.50 = 5a + (4.75)b
5a + 4.75b = 72.50
The above Equation is equivalent to the standard form of linear equation which is Ax + By = C
where A, B, and C are real numbers, and A and B are both not zero
Hence, the best choice is standard form as it has two variables in it we can solve the equation to get the value of variables in it
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
No Tom is not correct as the simplest form for the sum of 5/12 and 1/12 is not 6/12. This can still be simplified by 6 and that would give you 1/2 as the most simplified answer.
Given:
Point P is the incenter of triangle HKM.
To find:
The measure of JP.
Solution:
In triangle MNP, using Pythagoras theorem, we get
Taking square root on both sides, we get
Side cannot be negative. So,
Point P is the incenter of triangle HKM.
[Incenter is equidistant from each side of triangle]
Therefore, the value of JP is 7 units.