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Marysya12 [62]
2 years ago
12

Sara works for 40 hours a week. She attends meetings for 0.28 of the time she is working. How much time does Sara spend at meeti

ngs during a typical week?
Mathematics
1 answer:
Roman55 [17]2 years ago
6 0

Answer:

11.2 hours or 11 hours 12 minutes

Step-by-step explanation:

In this question, we are to calculate the amount of time spent by Sara in attending meetings weekly.

In the question, we are made to understand that she attends a meeting at a rate of 0.28 multiplied by the total amount of time she works.

To get the time she attends the meeting, we only need to multiply the decimal by the number of hours she works

Mathematically that would be 0.28 * 40 = 11.2 hours per week

We might take it further to get the time in the format of hours and minutes. That would be 0.2 * 60 yo convert the hours to minutes. This gives 12 minutes .

She attends meeting 11 hours 12 minutes per week

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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

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5 0
2 years ago
SOLVE FOR X AND Y, WILL GIVE BRAINLIEST
Ipatiy [6.2K]
3x - 15 = 105
3x = 120
x = 40

3(40) - 15 + y + 24 = 180
120 - 15 + y + 24 = 180
129 + y = 180
y = 51
5 0
3 years ago
What transformations change the graph of f(x) to the graph of g(x)?
Dennis_Churaev [7]

For this case we have that the main function is given by:

f (x) = - 7x ^ 2

We apply the following transformations:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

For a = 5 we have:

h (x) = 5 * f (x)\\h (x) = 5 * (- 7x ^ 2)\\h (x) = - 35x ^ 2

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 5 we have:

g (x) = h (x) + k\\g (x) = - 35x ^ 2 + 5

Answer:

The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.

3 0
3 years ago
Read 2 more answers
There are 40 people at Drake's sweet sixteen party. Drake's only rule is that everyone in the party must meet and shake each oth
nikdorinn [45]
1) This is a combination, so use ⁴⁰C₂.
     ⁴⁰C₂ = 780
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2) I got my solution by using the combinations formula. Or another way you              could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1.          You will end up with 780 (I did this to double check my work).

3) The quickest way to figure this out if Drake invited 1,000 people is to use the       natural numbers formula = n(n+ 1)/2.
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7 0
2 years ago
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F(m) = 6m - 5<br> g(m) = 3m - 6
Anastaziya [24]

Answer:

what is the question. please provide a question.

3 0
2 years ago
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