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hodyreva [135]
3 years ago
6

Kenya is solving the equation 5 3/4 - 1/6x = 4 1/2. She gets to 1 1/4 = 1/6x. Is this a valid way to solve the equation? answer

asap please
Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

15/2

Step-by-step explanation:

5 3/4 - 1/6x = 4 1/2

move the variable to it's own side.

5 3/4 - 4 1/2 = 1/6x

change the subtracting side to have common denominators

5 3/4 - 4 2/4 = 1/6x

1 1/4 = 1/6 x

divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)

30/4 = x

reduce: 15/2 = x

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Imelda rode her bicycle 39 kilometers. If 1 meter = 1.094 yards, find the distance Imelda rode her bicycle to the nearest mile.
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Answer: 24.24 miles

Step-by-step explanation:

We should note that 1000 metres = 1 kilometer.

Imelda rode her bicycle 39 kilometers which will be converted to meters a:

= 39 × 1000

= 39000 meters

Since 1 meter = 1.094 yards

39000 meters = 39000 × 1.094 = 42666 yards

To find find the distance Imelda rode her bicycle to the nearest mile goes thus:

1 mi = 1760 yd

42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles

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