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Kay [80]
3 years ago
10

The solutions of x^2=16x-28 are

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

Answer:

the solutions of x^2=16x-28 are

2) 2 and 14

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How to simplify (81^-0.25)^3
IRISSAK [1]
(81^-0.25)^3 = ( 1 / (81^0.25) )^3 

<span>81^.025 is the 4th root of 81 which is 3 </span>
<span>Therefor </span>
<span>( 1 / (81^0.25) )^3 = (1/3)^3 </span>

<span>(1/3)^3 = 1/27 <-----

Hope I Helped You!!! :-)

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2 years ago
In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant
Nina [5.8K]

Answer:

<em>5</em><em> players participated in the tournament.</em>

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

=\ ^nC_2

As they played 2 games with every other participant in the tournament.

So the total number of games is,

=\ 2\times ^nC_2

But it is given to be 20, so

\Rightarrow \ 2\times ^nC_2=20

\Rightarrow \ ^nC_2=10

\Rightarrow \dfrac{n!}{2!(n-2)!}=10

\Rightarrow \dfrac{n(n-1)}{2}=10

\Rightarrow {n(n-1)=20

As 5\times 4=20, so we get n=5.

Therefore, 5 players participated in the tournament.

5 0
2 years ago
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When your classmates began their hike, they
Ede4ka [16]

Answer:

% increase = 200%

Step-by-step explanation:

8 0
3 years ago
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If 20% of a school was made up of out-of-district students last year, but the number of out-of-district students increased by 50
Nadya [2.5K]

Answer:

<h2>30% is enrolled out-of-district.</h2>

Step-by-step explanation:

According to the word problem, the number is increased by 50%.

To increase a number by a percent, multiply the number and the percent.

We can do this by changing both percents to decimals.

To change a percent to a decimal, divide it by 100.

20/100 = 0.2

50/100=0.5

The number is INCREASED by 50% so 0.5 would become 1.5.

0.2 * 1.5=0.3

<h2>0.3 = 30%.</h2>
4 0
2 years ago
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Angelina_Jolie [31]

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11

\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9

Thus proving that Group A has the longer average former length.

7 0
1 year ago
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