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ozzi
3 years ago
9

A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges s

cores. The first three judges scores were 83,88,and92. The figure skater made it to the next round . What is the minimum score the fourth judge could have given .
Mathematics
1 answer:
sukhopar [10]3 years ago
5 0

90*4 = 360

 so all the scores need to = 360 for a 90 average

83+88+92 = 263

360-263 = 97

minimum score is a 97

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Rationalize the denominator of 4/14 root 2?
Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}

5 0
3 years ago
Solve.<br> +<br> Х<br> )<br> =<br> - 1/2 + ( 3/4 x 4/9)
gregori [183]

Steps to solve:

-1/2 + (3/4 * 4/9)

~Simplify

-1/2 + 14/36

~Simplify

-1/2 + 7/18

~Find common denominators

-9/18 + 7/18

~Add

-2/18 or -1/9

Best of Luck!

5 0
3 years ago
Read 2 more answers
I kinda need help on this! <br><br> which ordered pair represents the coordinates of point H
Alex73 [517]
I believe it is the last answer choice
7 0
3 years ago
Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [
Darya [45]

Answer:

<em>A=3 and B=6</em>

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9

Computing the first derivative:

f' ( x ) = - 6 x^3 + 54 x - 108

We find the critical points equating f'(x) to zero

- 6 x^3 + 54 x - 108=0

Simplifying by -6

x^2 -9 x +18=0

We get the critical points

x=3,\ x=6

They define the following intervals

(-\infty,3),\ (3,6),\ (6,+\infty)

Thus A=3 and B=6

3 0
3 years ago
Algebra 1
zhannawk [14.2K]

Answer:

The actual wide of the lawn is 24 meters

Step-by-step explanation:

we know that

The scale drawing is

\frac{2}{1}\frac{mm}{m}

using proportion

Find out how wide  is the actual lawn if the lawn is 48 millimeters in the drawing

Let

x -----> the actual wide of the lawn

\frac{2}{1}\frac{mm}{m}=\frac{48}{x}\frac{mm}{m}\\\\x=48/2\\\\x=24\ m

therefore

The actual wide of the lawn is 24 meters

6 0
3 years ago
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