3) A cable company had 595 subscribers. The ratio of regular subscribers to premium

Mathematics

1 answer:

IgorLugansk [536]3 years ago

9 0

Answer:

280

Step-by-step explanation:

We know that there are at least 8 regular subscribers and there are at least 9 premium subscribers. And we know it's in that ratio. So the best way to start this is to divide 595 by 8+9 to get the single unit amount of both subscribers:

595/17 = 35

So one unit of anything is at least 35. Now, since we're looking for regular subscribers, we'll multiply this value by 8:

35*8 = 280

So 280 is our answer!

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Sarah ran 1/3 of a mile 5 days in a row. How many miles did she run in total?

Vladimir79 [104]

Answer:5/3

Step-by-step explanation:

you can do 1/3 x5 and that will give you 5/3

4 0

2 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$