After 50 soccer games, the ratio of wins to losses is 3:7. How many games did the team win? Explain how you found your answer

Mathematics

1 answer:

zalisa [80]2 years ago

4 0

Answer:The team won 15 games

Step-by-step explanation:

Given no of soccer games =50

Ratio of wins to losses =3:7

Let no of wins = $3x$

and no of losses = $7x$

Now

$3x+7x=50$

$10x=50$

Dividing both sides by 10

x=5

So no of wins =3x = $3\times5$

=15

We found the answer as 10 parts equals 50

So 3 parts equals 15

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The dot plots below show the runs scored in each of the first games of the season by the Hawks and the Eagles. Runs Scored (Ha R

omeli [17]

Answer:

Part B: 8 and 2 (more answers ofc)

Part C: Two more dots on 6 (more than one answer tho)

Step-by-step explanation:

Part B:

The added number of dots is 39 at the beginning and the mean is 3.9. (39/10). Since we have to add 2 dots the equation will be (39 + ? + ?) / 12 = Less than 3.9. We also need the range to increase. This means that one of the blanks must be larger than 7 (the largest dot on the dot plot!) I just went with 8 to keep the mean as small as possible. This leaves 1 more blank to figure out. There are multiple answers to this problem but I went with 2 just because then the mean would be 3.5 a better answer than something like 3.58333333333.

Part C:

If you think about it all the dots added up should be 6x12 = 72. Currently all the dots add up to 60. 72-60 is 12. This means that 12 is equal to 2 dots. I guess you could also do 5 and 7, 8 and 4, etc.

G'day

-birb

4 0

2 years ago

The measures of the angles between the resultant and two applied forces are 26° and

erma4kov [3.2K]

Answer:

48.8 lbs

Step-by-step explanation:

The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:

a/sin(A) = c/sin(C)

x/sin(26°) = 80/sin(134°)

x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds

The larger component force is about 48.8 pounds.