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Express 5½:2½ as a ratio of whole numbers

seropon [69]

Answer:

5.5:2.5

Step-by-step explanation:

this would be 5.5:2.5

6 0

2 years ago

You have different video games. How many different ways can you arrange the games side by side on a shelf? You can arrange the

Kobotan [32]

Answer:

See Explanation below

Step-by-step explanation:

This question has missing details because the number of video games is not stated;

However, you'll arrive at your answer if you follow the steps I'll highlight;

The question requests for the number of arrangement; That means we're dealing with permutation

Let's assume the number of video games is n;

To arrange n games, we make use of the following permutation formula;

$^nP_n = \frac{n!}{(n-n)!}$

Simplify the denominator

$^nP_n = \frac{n!}{0!}$

0! = 1; So, we have

$^nP_n = \frac{n!}{1}$

$^nP_n = n!$

Now, let's assume there are 3 video games;

This means that n = 3

$^3P_3 = 3!$

$^3P_3 = 3 * 2 * 1$

$^3P_3 = 6\ ways$

So, whatever the number of video games is; all you have to do is; substitute this value for n;

8 0

2 years ago

A meal that cost $50 had a 20% tip and 5% sales tax. How could you calculate your final total bill?

lilavasa [31]

Answer:

$57.50

Step-by-step explanation:

find 10% of 50 first, which is 5, because 5 × 10 = 50, then add $10 to the $50 beacause 50 × 0.2 = 10, next, remove 5%, to do this divide 10% by 2 to get $2.50, 60 - 2.5 = 57.5

5 0

2 years ago

What is the next number in the sequence?

nikdorinn [45]

Answer:

The answer is option A.

1,024

Hope this helps

3 0

2 years ago

This parabola has x-intercepts

slega [8]

Answer:

see the explanation

Step-by-step explanation:

we have the quadratic equation

$y=-16x^{2} +32x-10$

This is a vertical parabola open downward

The vertex is a maximum

Find the x-intercepts of the quadratic equation

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

$-16x^{2} +32x-10=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16x^{2} +32x-10=0$

so

$a=-16\\b=32\\c=-10$

substitute in the formula

$x=\frac{-32(+/-)\sqrt{32^{2}-4(-16)(-10)}} {2(-16)}$

$x=\frac{-32(+/-)\sqrt{384}} {-32}$

$x=\frac{-32(+/-)8\sqrt{6}}{-32}$

$x=\frac{-32(+)8\sqrt{6}}{-32}=\frac{32(-)8\sqrt{6}}{32}=0.39\ sec$

$x=\frac{-32(-)8\sqrt{6}}{-32}=\frac{32(+)8\sqrt{6}}{32}=1.61\ sec$

therefore

This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet

8 0

2 years ago

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