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3 years ago

Sebastian studies from 3:15 - 4:45 p.m his sister,Sara studies from 4:30 -6:15 p.m who studies longer and by how,much?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

5 0

Answer:

Sara studies longer by 15 minutes.

Step-by-step explanation:

Let's calculate how long Sebastian studies for. From 3:15 - 4:15, there is 1 hour and from 4:15 to 4:45, there are 30 minutes so Sebastian studies for 1 hour and 30 minutes. Now, let's calculate how long Sara studies for. From 4:30 - 5:30, there is 1 hour, from 5:30 - 6:00, there are 30 minutes and from 6:00 - 6:15, there are 15 minutes so Sara studies for 1 hour 45 minutes. This means that Sara studies longer by 45 - 30 = 15 minutes.

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A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350

kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0

3 years ago

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Solnce55 [7]

Answer:

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21/21

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2 years ago

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Andrei [34K]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Question<br> Find the distance between the points (-5, 8) and (-3,0).

Temka [501]

To calculate the distance between two points we use this formula:

$\boxed{ \boxed{{d \: = \: \sqrt{(x_2 \: - \: x_1)^{2} \: + \: (y_2 \: - \: y_1)^{2} } }}}$

<h3>We organize the values:</h3>

x₁ = -5
x₂ = -3
y₁ = 8
y₂ = 0

______________________

We apply the values already obtained to the formula to get the distance:

$d \: = \: \sqrt{( - 3 \: - \:( - 5))^{2} \: + \: (0 \: - \: 8)^{2} }$

$d \: = \: \sqrt{( - 3 \: - \: ( - 5))^{2} \: + \: ( - 8)^{2} }$

$d \: = \: \sqrt{( - 3 \: + \: 5) ^{2} \: + \: 64 }$

$d \: = \: \sqrt{ {2}^{2} \: + \: 64 }$

$d \: = \: \sqrt{4 \: + \: 64}$

$d \: = \: \sqrt{68}$

$d \: = \boxed{ \bold{ \: 2 \sqrt{17} \: units}}$

<h2>Answer: </h2>

$\huge{\boxed{ \bold{2 \sqrt{17} \: units }}}$

<h3><em><u>MissSpanish</u></em></h3>

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Rus_ich [418]

Answer:

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Step-by-step explanation:

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