<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>
where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>
<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>
<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)
Answer:
The require value for s is 24.
Step-by-step explanation:
We are given that the expression x² + sx + 144 and we have to make it a square of a binomial.
Hence, we have to find the value of s for this purpose.
Now, let us assume that (x + 12)² = x² + sx + 144
⇒ x² + 24x + 144 = x² + sx + 144
⇒ 24x = sx
⇒ s = 24
Therefore, the require value for s is 24. (Answer)
I would say the best answer is a but the whole thing is set up weird
Answer:
70
Step-by-step explanation:
Answer:
7 hours
Step-by-step explanation:
$247.50 - $45.00 (how much he charges for the first hour) = $202.50
$202.50 ÷ $33.75 (how much he charges for the additional hours) = 6 hours
But he charges 45 dollars for the first hour so he 7 hours in total