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Studentka2010 [4]
3 years ago
8

Pedro and Carmela are cleaning their kitchen. It takes Pedro 3 hours to clean the kitchen by himself, while Carmela can clean th

e kitchen in 2 hours.
Which equation can be used to calculate how long it will take them to clean the kitchen if they work together?

A.3/2t=t

B.t/3+t/2=1

C.3/t+2/t=1

D.3t+2t=1
Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

B

Step-by-step explanation:

Here, we want to choose the equation representing the time it will take if they worked together

Let the amount of tasks to be done be t

pedro will work at a rate of t/3

Camela will take t/2

So the joint rate will be

t/2 + t/3

This joint rate will be equal to 1

Thus, we have

t/2 + t/3 = 1

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A#27 - Surface Area
ollegr [7]

Answer:

Step-by-step explanation:

Surface area is finding the area of each face and adding them up.  So a cube will have 6 faces, each of them a square.  So find the area of one face and you can just add it 6 times.  If the faces are not all the same you have to find them seperately.  I won't do all of your questions, but let me know if you need help with a specific one

1) there are two trianglular faces and three rectangular ones.  The triangles are the same so let's do those.  They have the base and height of 4 and 3, so area of both will be .5*4*3 = 6, so together that makes 12.  now the three rectangular sides.  Right away you can see there is a 3 by 10 one and a 4 by 10 one.  These ahve areas of 30 and 40 respectfully.  The final face has one length of 10 but the last one is actually the last side of the right triangle faces.  Use the Pythagorean theorem to find it, it word out to be 5.  So now we know the last face is 10 by 5 which means an area of 50.  So let's add them all together.  5 faces total with areas of 30, 40, 50, 6 and 6.  Adding them together makes 136.

If you don't get how I did any of that let me know.  In general it's a good idea to mark every face and then find what their sides are.  I'd be happy to help with specific problems.

Now the second part, again I will do the second one because cones are  little less intuitive.  a cone has two faces, the circular base and the actual cone shape.  the surface area of the cone shape is pi*r*L where r is the radius of the base and L is the length of one of the slanted sides.  Now, let's find the area of the two faces.  Area of a circle is pi*r^2 so that's pi*4^2 = 16*pi in number 2.  Then the area of the cone part is pi*r*L = pi*4*14 = 56*pi.  now we sum all the areas of the faces up and get 16*pi + 56*pi = 72*pi.  

Again, I'm happy to answer specific questions, so let me know if you have any.  just keep in mind what I told you so far, find each face, then find each face's area then sum them up.  For cylinders the tubes turn into rectangles where one side is the length of the tube and the other is the circumference, while cones fave two faces, the circular base and the cone shape itself with an area of pi*r*L.  if you want me to check your answers I will totally do that too.  

4 0
3 years ago
Is the relationship shows by the data linear? If so, model the data with an equation.
Kipish [7]

Answer:

Yes, B

Step-by-step explanation:

Yes the data is linear because there is a constant rate of change.

For x or the input the rate of change is plus 2

For y or the output the rate of change is plus 4

y/x is your slope so 4/2=2

and the only equation with a slope of 2 is B


4 0
3 years ago
6^7/6^5 in index form<br>help me
brilliants [131]

Answer:

12^12

Step-by-step explanation:

can u please help me

7 0
2 years ago
I need help To find gradient and y-intercept...
suter [353]

Answer:

a) the gradient of the linear graph is: \mathbf{\frac{-1}{3} }

b) the y-intercept of linear graph is -1

Step-by-step explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}

Take any 2 points from the graph.

I will take: (-3,0) and (0,-1)

Putting values in formula and finding gradient

Gradient=\frac{y_2-y_1}{x_2-x_1}  \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}

So, the gradient of the linear graph is: \mathbf{\frac{-1}{3} }

b) Find the y-intercept of linear graph

The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.

So, in the given graph, that point is -1

So, the y-intercept of linear graph is -1

3 0
3 years ago
A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)
jekas [21]

Answer:

the area would be 935cm

Step-by-step explanation:

ty for reading :P

7 0
3 years ago
Read 2 more answers
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