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labwork [276]
2 years ago
5

Which number is the largest 1.2 x 10^4, 4.5 x 10^-3,3.8x10^3,7.5^3

Mathematics
1 answer:
astra-53 [7]2 years ago
3 0

1.2x10^4

Step-by-step explanation:

2.

negative exponent means it's a fraction so

4.5x10^-3 is 1/4500 or 0.0045 so

it's a very small number

1.

^4 means means move the decimal 4 spots

12×10^4 = 12,000

3.

^3 means move the decimal 3 spots

3.8 x 10^3 =

3800

4.

7.5x10^3 =

7500

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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
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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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3 years ago
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