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FromTheMoon [43]
3 years ago
11

In a certain Algebra 2 class of 21 students, 14 of them play basketball and 9 of them play baseball. There are 3 students who pl

ay neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer:

basketball= 66.66 infinite%

baseball=42.86%

Step-by-step explanation:

if you divide 14 by 21 you get .66 infinite which is 66.66 infinite%

divide 9 by 21 you get around .4286 which is 42.86%

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7
Marat540 [252]

Answer:

Plan A equation:   y = 10x + 30

Plan B equation:  y = x + 80

Plan C equation: y = 5x + 50

Plan A costs the same as Plan C in 4 months

Plan A is the better option if you use 0 - 4 GBs of data each month

Plan B becomes the better deal when 8 months pass

Step-by-step explanation:

<u>When does Plan A cost the same as Plan C?</u>

Set the equations equal to each other (the cost) and solve for x (time in months)

10x + 30 = 5x + 50

5x = 20

x = 4 months

<u>Which plan is best if you only use 0-4 GBs of data a month?</u>

Test the maximum and minimum values to check which plan costs less

At 0 GBs of data used per month

Plan A:  y = 0 + $ 30 = $30 total

Plan B: y = 0 +$80 = $80 total

Plan C: y = 0 + $50 = $50 total

At 4 GBs of data used per month

Plan A: y = $ 40 + $ 30 = $ 70

Plan B: y = $ 4 + $ 80 = $ 84

Plan C: y = $ 20 + $ 50 = $ 70

Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option

<u>When does Plan B become the best deal?</u>

When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B

5 0
2 years ago
Write the equation of a line parallel to the line 2x + 3y = 5 and passes through the point (9, -3)
madreJ [45]
Paralell is smae slope so it is
2x+3y=c
find c

given
(9,-3)
x=9
y=-3
evaluate to find the constant, c

2(9)+3(-3)=c
18-9=c
9=c

the equation is 2x+3y=9
4 0
3 years ago
The ratio of tickets sold to see the incredible musical wicked to tickets sold to see Cats is 11 to 7 if there were 2700 total t
tia_tia [17]
Use algebra to set up 2 equations.

Assign c as number of tickets for CATS and w for number of tickets of WICKED

c + w = 2700

c / w = 7 / 11

Then solve for one of them in the first equation

c = 2700 - w

Then put this value for c into the 2nd equation

(2700 - w) / w = 7 / 11

Now cross multiply the numerator by denominator of both numerator and denominator pairs

7w = 11 x (2700 - w)
7w = 29700 - 11w

Now solve for w

7w = 26700 - 11w

Add +11w to both sides

18w = 29700

Now divide by 18 on both sides

w = 1650

Then c is the remainder of that ... 2700 - 1650 = 1050

You can also check because 7 / 11 = 1050 / 1650



8 0
3 years ago
Can someone please help me solve this?
aleksklad [387]

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

8 0
3 years ago
Read 2 more answers
Which equation is a solution to (x-3)(x+9)=27?
Shtirlitz [24]

Answer:

x = ± 3\sqrt{7} - 3

Explanation:

I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)

(x-3)(x+9)=27

Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)

x^2 +   9x    -    3x    -  27

(first+ inner + outer + last)

x^2 + 9x - 3x - 27 = 27

Combine like terms, and add 27 to both sides.

x^2 + 6x - 27 + 27 = 27 + 27

x^2 + 6x = 54

Let's complete the square, because factoring doesn't work, and because it's good practice.

x^2 + 6x + ___ = 54 + ____

In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.

x^2 + 6x + 9 = 54 + 9

Now we've got a perfect square factor:

(x + 3)^2 = 63

sqrt(x+3)^2 = \sqrt{63}

x + 3 = ± 3\sqrt{7}

x = ± 3\sqrt{7} - 3

7 0
3 years ago
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