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Arlecino [84]
3 years ago
14

3 The Hawks soccer team played a total of 24 games. They won 6 more games than they lost, and they tied 2 games. How many games

did they win?
Mathematics
2 answers:
kogti [31]3 years ago
6 0

They won 14 games. If you subtract 2 ( the ties ) you are left with 22. Subtract 6 ( games more won than loss) you get 16. Then divide by two and get 8. 8 + 6 = 14.

nydimaria [60]3 years ago
5 0

Answer:

14 games.

Step-by-step explanation:

Let x represent number of games lost by Hawks.

We have been given that the Hawks won 6 more games than they lost. So number of games won by Hawks would be x+6.

We have been given that they played a total of 24 games and tied in 2 games, so total game won or lost by Hawks would be 24-2=22.

Now we will equate sum of games won and lost by 22 as:

x+x+6=22

2x+6=22

2x+6-6=22-6

2x=16

\frac{2x}{2}=\frac{16}{2}

x=8

Number of games won by Hawks would be x+6\Rightarrow 8+6=14

Therefore, Hawks won 14 games.

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It is 0.0411764706 when divided with a calculator. In a scientific notation it would be 4.11764706 x 10^(-2).
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3 years ago
The sum of two numbers is 56, and their difference is 10. What are the numbers?
Elanso [62]

Answer:

23 and 33

Step-by-step explanation:

23+33=56

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6 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form that represents the data. Show ALL work.
nignag [31]

Answer:

<em>y = 5x + 100</em>

Step-by-step explanation:

Using the x and corresponding y values from the given table.

Let's use the coordinate (0, 100) and (1, 105)

The equation in slope intercept form is expressed as y = mx+c

m is the slope

c is the y-intercept

Slope m = y2-y1/x2-x1

m = 105-100/1-0

m = 5/1

m =5

Get the y intercept

Substitute the slope m = 5 and any point say (0, 100) into the equation

y = mx+c

100 = 5(0) + c

100 = c

c = 100

Get the required equation;

y = mx+c

y = 5x + 100

<em>Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100</em>

4 0
3 years ago
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of
Effectus [21]

Answer:

(a) Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.

(b) Approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1

Let X = <u><em>the blood platelet counts of a group of women</em></u>

So, X ~ Normal(\mu=257.62, \sigma^{2} =62.1^{2})

Now, the empirical rule states that;

  • 68% of the data values lie within the 1 standard deviation of the mean.
  • 95% of the data values lie within the 2 standard deviations of the mean.
  • 99.7% of the data values lie within the 3 standard deviations of the mean.

(a) The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 is 68% according to the empirical rule.

(b) The approximate percentage of women with platelet counts between 71.3 and 443.9 is given by;

       z-score of 443.9 =  \frac{X-\mu}{\sigma}

                                   =  \frac{443.9-257.62}{62.1}  = 3

       z-score of 71.3 =  \frac{X-\mu}{\sigma}

                                =  \frac{71.3-257.62}{62.1}  = -3

So, approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.

5 0
3 years ago
A university has 41,100 students. In a random sample of 165 students, 11 speak three or more languages. Predict the number of st
Gre4nikov [31]

Answer:2740

Step-by-step explanation:

41100/165=249.09...

11*249.09...=2740

6 0
3 years ago
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