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lina2011 [118]
4 years ago
7

Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to do its route and bus B takes 35 minutes to complete its r

oute. At what time are they both back at the bus depot together? Give your answer as a 12-hour clock time.
Mathematics
1 answer:
DaniilM [7]4 years ago
7 0

Answer:

8:30 pm

Step-by-step explanation:

step 1

Decompose the numbers in prime factors

30=(2)(3)(5)\\35=(5)(7)

step 2

Find the LCM

The LCM of 30 min and 35 minutes will be given as

LCM=(2)(3)(5)(7)=210\ min

step 3

Adds 210 minutes to the starting time

First, converting 210 minutes to hours

Remember that

1\ h=60\ min

will need dividing 210 by 60

210/60=3.5\ h

therefore

5:00 pm+3.5 h=8:30 pm

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The diagram shows a rectangle.
8090 [49]

Answer:

To solve this we calcuclate the total are then we subtract the 4 rectangles area

total area = length × width =10.5 × 10.5 = 110.25 cm²

the rectangles drawn accurately = 2(.5 × 7)

7 cm²

the rectangles drawn not accurately 2(.5 × 10.5)

= 10.5 cm²

so the shaded area = 110.25 - 7 - 10.5 = 92.75 cm²

4 0
3 years ago
Read 2 more answers
Please help explain this
Oksana_A [137]

Answer:

8

Step-by-step explanation:

So, the small red circles are the baskets.

Each 1 represents 1 basket.

We know that the two baskets on 4 wont be counted, as well as the two baskets on 4 1/2, since thats smaller than or equal to 4 1/2

We also know that the two baskets on 6 wont be counted either, since thats equal to 6.

So now lets count the baskets in between these values, which would be:

5 - 4 baskets

5 1/2 - 4 baskets

Lets add those up:

4+4

=

8

So your answer is 8!

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
Solve for x.<br><br> x2≥−4<br><br> A.) x≤ -8<br> B.) x≥ -2<br> C.)x≥-2<br> D.) x≥-9
Artemon [7]

Answer:

x   ≥   −2

Step-by-step explanation:

This problem deals with inequalitites.

The expression is

x*2   ≥  −4

If we divide by 2 each side of the expression, we get

x* 2 / 2   ≥   −4 / 2

x  ≥  −2

Which appears in your answer list

4 0
3 years ago
Need help with this help plz
klio [65]
This whole ugly thing is just 6 numbers that are all multiplied.
Here they are:

               (-7)  ·  (x⁶)  ·  (y⁻³)  ·  (5)  ·  (x⁻¹)  ·  (y)  .

To help you see what's going on, I'm going to rearrange them
and write them in a different order.  (You'll remember that when
you multiply, the order of the numbers doesn't matter.)

              (-7)·(5)   ·   (x⁶)·(x⁻¹)   ·   (y⁻³)·(y)  .

I'll bet you can see it already.  It's really starting to fall apart.

Remember that when you have to multiply the same base to
different powers, you just add the powers.

So here's the multiplication:

                 (-7)·(5)   ·   (x⁶)·(x⁻¹)   ·   (y⁻³)·(y)  .
                       |                 |                     | 
                    -35      ·        x⁵        ·          y⁻²

                             -35 x⁵ y⁻²

         or you could write it as      -35x⁵ / y²   which is the same thing.
5 0
3 years ago
The slope of the line containing the points (-5, 3) and (-2, 1) is
lianna [129]

Answer:

A.-2/3

Step-by-step explanation:

formula of gradient

dy/dx=y2-y2/x2-x1

1-3/-2-(-5)

=-2/3.

5 0
3 years ago
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