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Taya2010 [7]
3 years ago
12

a school had 690 students sign up for the trivia teams if they wanted to have nine teams with the same number of students on eac

h team how many more students would need to sign up
Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer:

3 more students need to sign up

Step-by-step explanation:

Let the equal number of students in 9 teams be x.

Total number of signed up students = 690.

Let t be the required number of students to be signed.

Therefore, 9x = 690+t.

This means, 690+t is a multiple of 9.

The least value of t to make 690+t, a multiple of 9 is 3 and hence,

\frac{693}{9}

= 77

Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.

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Step-by-step explanation:

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Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

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y = 5

From equation (1)

7(5) - 2x = 21

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Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0
2 years ago
The table compares the shoes worn by customers in an ice cream shop and the ice cream flavor that they picked. Can ice cream fla
antiseptic1488 [7]

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Step-by-step explanation:

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3 years ago
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Find the equation to the line below. (Picture)
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For the given data value, find the standard score and the percentile. A data value 0.6 standard deviations above the mean.
TiliK225 [7]

Answer:

The z-score is z  = 0.6

The percentile is  p(Z < 0.6) = 72.57\%

Step-by-step explanation:

From the question we are told that

   The  data value is  0.6 standard deviations above the mean i.e  x =  \mu + 0.6 \sigma

Where  \mu is the population mean and \sigma is the standard deviation

Generally the z-score is mathematically represented as

        z  =  \frac{x -  \mu }{\sigma }

=>     z  =  \frac{(\mu + 0.6\sigma ) - \mu }{\sigma }

=>    z  = 0.6

The percentile is obtained from the z-table and the value is

     p(Z < 0.6) = 0.7257

=>   p(Z < 0.6) = 72.57\%

3 0
3 years ago
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