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Andreyy89
4 years ago
5

explain the two different answers you can get when solving an equation and the variable is dropped out.

Mathematics
1 answer:
Alexandra [31]4 years ago
3 0
To give a simple answer

if you consider the equation to be that of a line.
then if the variables cancel out, then the two lines will have the same slope.

two lines with the same slope fall under two categories. Parallel lines, and lines on top of each other

parallel lines have no solutions since the lines never cross each other
lines on top of each other have infinitely many solutions  since they "cross" everywhere on the line
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Write 5040 in scientific notation​
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5.04 × 10³

This is the scientific notation.

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3 years ago
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Answer:

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Step-by-step explanation:

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A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s
vodomira [7]
Answer: 16

Solution:

1) Use letters to identify the variables:

Number of trumpets: t
Number of clarinets: c

2) Translate each statement into algebraic (mathematical) language.

2.1) Sold a total of 27 used trumpets and clarinets

=> t + c = 27

2.2) Trumpets cost $149 and clarinets cost $99

Total cost of the trumpets: 149t
Total cost of clarinets: 99c

Total cost = 149t + 99c

2.3) Total sales were $3223

=> 149t + 99c = 3223.

3) State the system of equations:

Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223

4) Solve the system of equations:

4.1) Multiply equation 1 by 149:

=> 149t + 149c = 4023

4.2) Subtract the equation (2) from the equation obtained in 4.1

=> 149c - 99c = 4023 - 3223

=> 50c = 800

=> c = 800 / 50 = 16

5) Verify the solution:

From equation (1) t = 27 - 16 = 11

Total cost = 149*11 + 99*16 = 3223

Now you have a verified answer: they sold 16 clarinets
7 0
4 years ago
Can 111/500 be simplified
alexdok [17]
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4 0
3 years ago
The ratio of Mary’s downloaded iPad apps to Katie’s is 12 to 8. If Katie has 96 apps how many does Mary have?
sladkih [1.3K]
8×12=96. Katie
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you have to Divide Katie's 96 by 8 to get 12
then take Mary's 12 and multiply it by 12 to get the answer of 144 apps that Mary owns

3 0
3 years ago
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