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Ilia_Sergeevich [38]
1 year ago
7

PLS HURRY!!!

Mathematics
1 answer:
Sergio [31]1 year ago
6 0

The expression is equivalent to the given expression is: negative 9 over 12 times t minus 2 over 9.

<h3>What is stated as the equivalent expression?</h3>
  • Equivalent expressions have been expressions that perform the same function despite their appearance.
  • If two linear algebra expressions are equivalent, they have the same value when the variable is set to the same value.

For the given question, the expression is stated as-

Negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity

This can be written as;

= -7t/6 + 4/9 - (-5t/ 12 + 2/3)

Simplify the expression as;

= -7t/6 + 4/9 + 5t/ 12 - 2/3

Re arrange the numbers

= -7t/6  + 5t/ 12 - 2/3 + 4/9

Combine the variables and constant separately.

= -9t/12 - 2/9

This can be written in words as- negative 9 over 12 times t minus 2 over 9.

Thus, the expression is equivalent to the given expression is: negative 9 over 12 times t minus 2 over 9.

To know more about the equivalent expression, here

brainly.com/question/15775046

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Answer:

i) 1350 m

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Step-by-step explanation:

<u>Formula for Speed</u>

\boxed{\sf Speed=\dfrac{Distance}{Time}}

Rearrange the formula so that Distance is the subject:

\implies \sf Distance = Speed \times Time

<h3><u>Question (i)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 30 seconds

Substitute the given values into the formula for distance:

\implies \sf Distance = 45 \times 30 = 1350\:m

<h3><u>Question (ii)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

  • Speed = 45 m/s (meters per second)
  • Time = 120 seconds

Substitute the values into the formula for distance:

\implies \sf Distance = 45 \times 120 = 5400\:m

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