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Assoli18 [71]
3 years ago
6

Mary worked a total of 6 1/2 hours during 5 days of work per week. What was her average workday?

Mathematics
2 answers:
spayn [35]3 years ago
8 0
Your answer is: 3. 3 hours, 18 minutes
sergij07 [2.7K]3 years ago
7 0
If you're asking if Mary worked 6 1/2 hours total out of the 5 days that it would be 1 hour and 18 minutes. If your asking how many hours she worked every day with 6 1/2 hours it would be 32 hours and 30 minutes.
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What does the graph of f(x)=3x^2-2x+1 look like
aleksklad [387]

Answer:

Below.

Step-by-step explanation:

This is a parabola.

As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').

If we convert to vertex form we can find the line of symmetry  and the coordinates of the vertex:

f(x) = 3x^2 - 2x + 1

f(x) = 3(x^2 - 2/3 x) + 1

f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1

f(x) = 3(x - 1/3)^2 - 1/3 + 1

f(x) = 3(x - 1/3)^2 + 2/3

So the line of symmetry is  x = 1/3 and

the vertex ( the minimum of the curve) is at (1/3, 2/3).

5 0
3 years ago
Please explain your answer. THX!
Elden [556K]

Answer:

see explanation

Step-by-step explanation:

(3)

Given cosΘ = - \frac{4}{5}

Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )

Since Θ in second quadrant then sinΘ > 0

sinΘ = \frac{3}{5}

Using the trigonometric identity

sin2Θ = 2sinΘcosΘ, then

sin2Θ = 2 × \frac{3}{5} × - \frac{4}{5} = - \frac{24}{25}

(4)

Using the trigonometric identity

cos(x - y) = cosxcosy + sinxsiny

note cos15° = cos(45 - 30)°

cos(45 - 30) = cos45cos30 + sin45sin30

                    = ( \frac{\sqrt{2} }{2} × \frac{\sqrt{3} }{2}) + (\frac{\sqrt{2} }{2} × \frac{1}{2})

                    = \frac{\sqrt{2(\sqrt{3}+1) } }{4}

         

4 0
3 years ago
Find the exact value of tan(pi/12) using the sum and difference formulas
kari74 [83]
Π/12 is half of π/6, which is 30 degree
tan(α/2)=(1-cosα)/sinα)
plug in the values: tan(π/12)=(1-cosπ/6)/sin(π/6)=(1-√3/2)/(1/2)=2-√3
7 0
3 years ago
Read 2 more answers
Help pleasseeeee ! 15 points<br><br> the answers are<br> (-1,-5)<br> (0,-3)<br> (4,5)<br> (9,15)
svet-max [94.6K]

Answer:

(0,-3)

Step-by-step explanation:

2x-y = 3

x+2y = -6

Multiply the first equation by 2 so we can eliminate y

2(2x-y =3)

4x -2y = 6

Add this to the second equation

4x -2y = 6

x+2y = -6

-----------------

5x +0y = 0

x = 0

Now find t

x+2y = -6

0+2y = -6

2y =-6

Divide by 2

y = -3

5 0
3 years ago
Read 2 more answers
I think of a number N. I add 5 to N and then multiply the answer by 3. The result is 84. What is the number N that l first thoug
Grace [21]
The answer is 26.33 repeating 
How you get that answer is
First do N times 3 
so the you have 3n + 5 = 84
minus 5 from both sides and then you get 3n = 79
divid both sides by 3 and then you get n = 26.33 reapting
4 0
3 years ago
Read 2 more answers
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