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NNADVOKAT [17]
3 years ago
7

Ms. Federman graded 5 papers in 40 minutes. At this rate, how many minutes will it take her to grade 30 papers?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

240 minutes

Step-by-step explanation:

If it's 40 minutes for just 5 papers, we need to figure how many minutes it would take to grade just 1. So you have to divide 40 by 5 which is 8. Then 8 time 30 which is 240.

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What is the period of the graph of the equation y = a sin bx?
steposvetlana [31]

T=2π/|b|. The period of an equation of the form y = a sin bx is T=2π/|b|.

In mathematics the curve that graphically represents the sine function and also that function itself is called sinusoid or sinusoid. It is a curve that describes a repetitive and smooth oscillation. It can be represented as y(x) = a sin (ωx+φ) where a is the amplitude, ω is the angular velocity with ω=2πf, (ωx+φ) is the oscillation phase, and φ the initial phase.

The period T of the sin function is T=1/f, from the equation ω=2πf we can clear f and substitute in T=1/f.

f=ω/2π

Substituting in T=1/f:

T=1/ω/2π -------> T = 2π/ω

For the example y = a sin bx, we have that a is the amplitude, b is ω and the initial phase φ = 0. So, we have that the period T of the function a sin bx is:

T=2π/|b|

7 0
3 years ago
Solve the following system of equations.<br> 6x -5y=13 &amp; 9y-15+2x=0
julsineya [31]
  • <em>Answer:</em>

<em>x = 3</em>

<em>y = 1</em>

  • <em>Step-by-step explanation:</em>

<em>Hi ! </em>

<em>6x - 5y = 13</em>

<em>9y - 15 + 2x = 0</em>

<em />

<em>6x - 5y = 13</em>

<em>2x + 9y = 15 | ×(-3)</em>

<em />

<em>6x - 5y = 13</em>

<em>- 6x - 27y = - 45</em>

<em>add</em>

<em />

<em>6x - 6x - 5y - 27y = 13 - 45</em>

<em>- 32y = - 32 | ×(-)</em>

<em>32y = 32</em>

<em>y = 1</em>

<em>replace y = 1</em>

<em>6x - 5(1) = 13</em>

<em>6x - 5 = 13</em>

<em>6x = 13 + 5</em>

<em>6x = 18</em>

<em>x = 3</em>

<em>Good luck !</em>

<em />

5 0
4 years ago
Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough order
Nesterboy [21]
T equals 35 cookie dough orders. You can solve this by subtracting 40 from 75. 75 - 40 = 35.
6 0
3 years ago
Please help with question 4 about the plant species population
Mamont248 [21]

Answer:

5 years             I think....

Step-by-step explanation:

B Specie    A Specie      

5000         2000

10000       4000

                 6000

                 8000

                 10000

7 0
4 years ago
Read 2 more answers
At the grand opening of a movie theater, every 12th customer received a free bag of popcorn and every 30th customer received a f
AlexFokin [52]

Answer:

Your answer would be the 60th

Step-by-step explanation:

This is your solution due to the fact that when you find the multiples of 12 and 30 you will realize that that's the first number they meet at, let me show you.

Multiples of 12 - 12, 24, 36, 48, 60

Multiples of 30 - 30, 60, 90, 120, 150

So The Least Common Denominator is 60!

Thus that is how I know that the 60th customer at the movie theater would get both items for free.

Hope This Helped!

6 0
3 years ago
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