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Doss [256]
3 years ago
9

A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and

crawls the second, it takes 110 seconds. If it crawls the first part and walks the second, it takes 100 seconds. Find the lengths of the two parts of the journey.
Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

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Vikki [24]

Answer:

1. The y-intercept is 10

2. The slope-intercept is -2

Step-by-step explanation:

1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.

2.  (2,6) and (-1,12)

slope=rise/run= the change of y/the change of x=m=y2-y1/x2-x1

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If x = y, then x + 2 =
yawa3891 [41]

Answer:

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4 0
3 years ago
Please HELP I will make you brainlist !!! Need surface area
skelet666 [1.2K]

Answer:

22969.39 yd^2

Step-by-step explanation:

Alright to start, lets do the easier part of it, the sides of it. Since it is an octagonal prism, there are 8 rectangular sides to it. Each of these sides can be found with L*W, so use the given length of 15 and width of 6 to do this.

15 * 6 = 90

Since there's 8 of these:

90 * 8 = 720

Now, with the tricky part with the bases of the octagonal prism. Let's find the perimeter of the octagon, so use the top width of each of the rectangles.

6 * 8 = 48 = Perimeter

Now, here's the magic equation to avoid making this more complicated:

2(1+√2)p^2

Then plug in p

2(1+√2)48^2

(2+2√2) * 2304

(2+2.8284)*2304

4.8284*2304

11124.69...

But there's two bases so: 22249.39

Lastly, add this to the 720 from the rectangular prisms.

22249.39+720 = 22969.39

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3 0
3 years ago
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nika2105 [10]

Answer:

480

Step-by-step explanation:

Length x width x height =

6 x 10 x 8 = 480 m^3

7 0
3 years ago
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