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Fittoniya [83]
3 years ago
13

During the 2010 baseball​ season, the number of wins for three teams was three consecutive integers. Of these three​ teams, the

first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 243. How many wins did each team have in the 2010​ season?
Mathematics
1 answer:
elena55 [62]3 years ago
5 0

Answer:

Step-by-step explanation:

Let x represent the number of wins of the least team.

The number of wins for three teams was three consecutive integers. Of these three​ teams, if the first team had the most wins and the last team had the least wins. It means that the number of wins of the second team would be x - 1

The number if wins on the last team would be x - 2

The total number of wins by these three teams was 243. It means that

x + x - 1 + x - 2 = 243

3x - 3 = 243

3x = 243 + 3 = 246

x = 246/3 = 82

The first team had 82 wins

The second team had 82 - 1 = 81 wins

The last team had 82 - 2 = 80 wins

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Please please help me
Gala2k [10]

Answer:

89.0°

Step-by-step explanation:

The segment from the centre of the circle to the chord is a perpendicular bisector, hence

third side of right triangle = 12.7 ÷ 2 = 6.35

The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre

The triangle from the centre to C is congruent to the triangle from the centre to D

Calculate the angle (Θ ) in the right triangle using the sine ratio

sinΘ = \frac{opposite}{hypotenuse} = \frac{6.35}{9.06}

Θ = sin^{-1} ( \frac{6.35}{9.06} ) ≈ 44.5°

Hence

measure of CD = 2 × Θ = 2 × 44.5 = 89.0°

5 0
4 years ago
If tb=5x and tu=4x-1 and ub=2x-1 what does x equal
Sunny_sXe [5.5K]
If C is a point between AB then we can write AC + CB = AB

Same way we can write tu + ub = tb
tu = 4x - 1 , ub = 2x - 1 and tb = 5x
So we can write it as

4x - 1+ 2x - 1 = 5x

6x - 2 = 5x

6x - 5x = 2

x = 2

So x is  = 2.
3 0
3 years ago
For the data below, which of the following are true? Choose all that apply.
masha68 [24]

Answer:

Range 40

Mean 99.4

Step-by-step explanation:

There is a mode since the number 104 shows up twice.

The median is not 100 because it is 102.

The range is 40 because 120 is the largest number and 80 is the smallest number.

So 120 - 80 = 40

The mean is 99.4 because when you add all the numbers up and then divide  it by 10 you get 99.4

5 0
4 years ago
Solve for x <br><br> log(7x+1) = log(x-2) + 1
myrzilka [38]
Log(7x+1) - log(x-2) =1

log[(7x+1) / (x-2)] =1 or log[(7x+1) / (x-2)] =log10 (log10=1)

it means (7x+1) / (x-2) =10

Solving ===> x=7
5 0
4 years ago
11 is 0.6 percent of what number
aleksandrvk [35]

Answer:

5500/3

Step-by-step explanation:

11 = 0.6%x

solve for x and get 5500/3

7 0
3 years ago
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