Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D
Answer:
The maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.
Step-by-step explanation:
Given : A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space.
To find : What is the maximum volume of space that 1,000 BTUs will cool?
Solution :
Applying unitary method,
2.5 BTU are needed to cool 1 cubic foot of space.
So, 1 BTU are needed to cool
cubic foot of space.
Then,1000 BTU are needed to cool
cubic foot of space.
i.e. 1000 BTU are needed to cool 400 cubic foot of space.
Therefore, the maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.
The given equation of parabola is

Which can also be written as

Here vertex (h,k) is (1,2)
And value of a is

Formula of focus is

Substituting the values of h,k and a, we will get

Therefore the correct option is the last option .
Answer:
57.60$
Step-by-step explanation:
45*.28=12.60
12.60 + 45= 57.60
Answer:

Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:

Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:

Subtract:

Reduce:

So, our slope is 1/3.
Now, we can use the point-slope form, which is:

For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:

Distribute:

Add 6 to both sides:

Add:

And we're done!