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natta225 [31]
3 years ago
12

A fish tank has 35 gallons of water in it, but suddenly starts leaking. Water is leaking from the tank at a rate of 1/4 gallon p

er minute.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

35 - m

Step-by-step explanation:

A tank containing 35 gallons of water is leaking at a rate of gallon per minute.

"m" represents the number of minutes spent

Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent  rate of leakage.

Number of gallons of water left = 35 gallons – m minutes  1 gallons per minute

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A college is selling tickets for a winter fund-raiser. One day, Krissa sold 14 adult tickets and 8 student tickets for a total o
FromTheMoon [43]

The statement which explains Krissa’s error is "She switched the prices of the tickets" ⇒ A

Step-by-step explanation:

A college is selling tickets for a winter fund-raiser

  • One day, Krissa sold 14 adult tickets and 8 student tickets for a total of $376
  • The next day, she sold 7 adult tickets and 11 student tickets for a total of $272
  • The price of one adult ticket is a
  • The price of one student ticket is s
  • She wrote and solved the following system of equations.  14a + 8s = 376  and 7a + 11s = 272
  • She found that the price of one student ticket is $20 and the price of one adult ticket is $12

We need to find which statement explains Krissa’s error

∵ The system of equations is:

   14a + 8s = 376  ⇒ (1)

    7a + 11s = 272 ⇒ (2)

Multiply equation (2) by -2 to eliminate x

∵ -14a - 22s = -544 ⇒ (3)

Add equations (1) and (3)

∴ -14s = -168

Divide both sides by -14

∴ s = 12

Substitute the value of s in equation (2) to find a

∵ 7a + 11(12) = 272

∴ 7a + 132 = 272

Subtract 132 from both sides

∴ 7a = 140

Divide both sides by 7

∴ a = 20

∵ a represents the price of one adult ticket

∴ The price of one adult ticket is $20

∵ s represents the price of one student ticket

∴ The price of one student ticket is $12

∵ She found that the price of one student ticket is $20 and

   the price of one adult ticket is $12

- She switched the prices of the tickets

∴ Her error is, she switched the prices of the tickets

The statement which explains Krissa’s error is "She switched the prices of the tickets"

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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Difference in the following polynomials (6x^3 - 2x^2 + 4)<br> -(2x^3 + 4x^2 - 5)
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\bold{[ \ Answer \ ]}

\boxed{\bold{4x^3-6x^2+9}}

\bold{[ \ Explanation \ ]}

  • \bold{Find \ Difference: \ \left(6x^3\:-\:2x^2\:+\:4\right)-\left(2x^3\:+\:4x^2\:-\:5\right)}

\bold{-----------------------}

  • \bold{Remove \ Parenthesis}

\bold{6x^3-2x^2+4-\left(2x^3+4x^2-5\right)}

  • \bold{Remove \ Parenthesis \ / \ Simplify}

\bold{-\left(2x^3+4x^2-5\right): \ -2x^3-4x^2+5}

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\bold{6x^3-2x^2+4-2x^3-4x^2+5}

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\bold{4x^3-6x^2+9}

\boxed{\bold{[] \ Eclipsed \ []}}

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