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Gala2k [10]
3 years ago
6

Please help i have no idea how to do it

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

81.82% chance

Step-by-step explanation:

add em all up(55)

divide by 100(1.82)

multiply by how many students play only bass and string(45)

answer is 81.82%

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Solution for: <br> -x + 3y -2z = 19<br> 2x + y - z = 5<br> -3x - y + 2z = -7
STatiana [176]

Answer:

x = -1 , y = 4 , z = -3

Step-by-step explanation:

Solve the following system:

{-x + 3 y - 2 z = 19 | (equation 1)

2 x + y - z = 5 | (equation 2)

-3 x - y + 2 z = -7 | (equation 3)

Swap equation 1 with equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

2 x + y - z = 5 | (equation 2)

-x + 3 y - 2 z = 19 | (equation 3)

Add 2/3 × (equation 1) to equation 2:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y/3 + z/3 = 1/3 | (equation 2)

-x + 3 y - 2 z = 19 | (equation 3)

Multiply equation 2 by 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y + z = 1 | (equation 2)

-x + 3 y - 2 z = 19 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y + z = 1 | (equation 2)

0 x+(10 y)/3 - (8 z)/3 = 64/3 | (equation 3)

Multiply equation 3 by 3/2:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y + z = 1 | (equation 2)

0 x+5 y - 4 z = 32 | (equation 3)

Swap equation 2 with equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y - 4 z = 32 | (equation 2)

0 x+y + z = 1 | (equation 3)

Subtract 1/5 × (equation 2) from equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y - 4 z = 32 | (equation 2)

0 x+0 y+(9 z)/5 = (-27)/5 | (equation 3)

Multiply equation 3 by 5/9:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y - 4 z = 32 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add 4 × (equation 3) to equation 2:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y+0 z = 20 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 2 by 5:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add equation 2 to equation 1:

{-(3 x) + 0 y+2 z = -3 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract 2 × (equation 3) from equation 1:

{-(3 x)+0 y+0 z = 3 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 1 by -3:

{x+0 y+0 z = -1 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Collect results:

Answer:  {x = -1 , y = 4 , z = -3

6 0
3 years ago
If a = b, then a - c = b - c. This is the ___________________ property of equality.
Fantom [35]

Answer:

communitive

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the product of 5.21 and 3.4
SIZIF [17.4K]

Step-by-step explanation:

5.21× 3.4 = 17.714

thank u

6 0
2 years ago
Suppose the population of a certain city is 3031 thousand. It is expected to decrease to 2246 thousand in 50 years. Find the per
Kipish [7]

Answer:

The rate at which the population decrease is 59.8 %  

Step-by-step explanation:

Given as :

The population of city = 30,31,000

Now The population of city decrease to 22,46,000

The time period in which population decrease is 50 years

Let the percentage rate of decrease = R%

So,

Final population = initial population × (1-\frac{Rate}{100})^{Time}

Or, 22,46,000 = 30,31,000 × (1-\frac{Rate}{100})^{50}

Or, \frac{2246000}{3031000} =  (1-\frac{Rate}{100})^{50}

Or, \frac{2246}{3031} = (1-\frac{Rate}{100})^{50}

(\frac{2246}{3031})^{\frac{1}{50}} = ( 1-\frac{Rate}{100})

So , 0.99402 = ( 1-\frac{Rate}{100})

Or,  \frac{Rate}{100} = 1 - 0.99402

So, Rate = 5.98\times 10^{-3} × 100

Or, Rate = 0.598 = 59.8 %

Hence The rate at which the population decrease is 59.8 %  Answer

4 0
3 years ago
Damian can make 3 free-throws in 10 seconds and 18 free throwsin 1 minute. What is the constant proportionality?
Oksanka [162]

Consider x to be the number of seconds and y the number of free-throws.

Then, according to the question, the equation includes points (10,3) and (60,18).

Finding the equation of a line that goes through such two points,

\begin{gathered} (10,3),(60,18) \\ \Rightarrow y-3=(\frac{18-3}{60-10})(x-10) \\ \Rightarrow y-3=0.3x-3 \\ \Rightarrow y=0.3x \end{gathered}

Thus, the constant of proportionality is 0.3. 0.3 free-throws per second or 3.333... seconds per free-throw

3 0
1 year ago
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