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TiliK225 [7]
3 years ago
5

Given that 15x=5y, find the ratio of x to y in simplest form

Mathematics
2 answers:
alexdok [17]3 years ago
4 0
15x = 5y divide by 3, 3x=y. I believe
BartSMP [9]3 years ago
3 0
Take 15y as numerator and 5x as denominator and then cancel out 15y by dividing it from 5x. Then the answer you get is 3y upon x or 3y:x
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What is the factored form of the expression? r^2 - 6r + 5
zubka84 [21]

Answer:

r^{2}-6r+5= (r-1)(r-5)

Step-by-step explanation:

You can use the quadratic formula to find the root.

It's probably easier to recognize that (-1)(-5) = 5 and -1-5=-6, so the roots are -1 and -5.

8 0
2 years ago
3 - x > 2 or 4x + 2 > 10
Afina-wow [57]
Hi!
In this question, you would first solve both equations, and then find the graph that best applies both of them.

To solve 3-x is greater then or equal to 2, you would add the x and subtract the 2, leaving you with 1 is greater than equal to x.

To solve 4x+2 is greater than or equal to 10, you would first subtract the 2 and then divide by 4, leaving you with x is greater than or equal to 2.

Our two equations are x is greater than or equal to 2, and 1 is greater equal to x, or 2 is smaller than or equal to x which is smaller than or equal to 1.

The graph that matches this compound equation is C.








7 0
3 years ago
The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st
Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

M = z*\frac{\sigma}{\sqrt{n}}

2 = 2.575*\frac{7.8}{\sqrt{n}}

2\sqrt{n} = 2.575*7.8

\sqrt{n} = \frac{2.575*7.8}{2}

(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}

n = 100.85

Rounding up

We need a sample size of at least 101

8 0
3 years ago
Read 2 more answers
Minimize Q=x^2+2y^2, where x+y=3
Studentka2010 [4]
<span>The first step you need to do is to rewrite
x+y=3
as y=3-x
</span><span>Now we can replace the y in the equation with our newfound value for y, which is
y=3-x.
So lets write it now like this
Q=x^2+2(3-y)^2
=x^2+18-12x+2x^2
=3x^2+18-12x
</span>Hope this helps
6 0
3 years ago
All of the points in which quadrant have negative x-coordinates and negative y-coordinates?
pentagon [3]
Quadrant 3 or III
hope this helped

3 0
3 years ago
Read 2 more answers
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