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natita [175]
2 years ago
6

20 years ago, father's age was 5 times his son's age. Now his age is 10 years more than twice his son's present age. Find their

present ages. ​
Mathematics
1 answer:
Montano1993 [528]2 years ago
6 0

Step-by-step explanation:

x = father's age now

y = son's age now

x = 2y + 10

x - 20 = 5(y - 20) = 5y - 100

using the first in the second equation :

2y + 10 - 20 = 5y - 100

-10 = 3y - 100

90 = 3y

y = 30

x = 2y + 10 = 2×30 + 10 = 60 + 10 = 70

the father is now 70 years old, the son now 30 years old.

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Well, we need to consider the x and y coordinates of the giben points, and check wether the y coordinate is greater than twice the x coordinate minus 1 (i.e. 2x-1):

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Order these objects from heaviest to lightest. (Note: 1 pound = 16 ounces, 1 kilogram ≈ 2.2 pounds ,and 1 Tom = 2,000 pounds) it
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Answer:

Ordering of objects from heaviest to lightest are  ⇒ <u> school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.</u>

Step-by-step explanation:

Given:

School bus weight = 9 tons.

Horse = 1,100 pounds.

Elephant = 5,500 kilograms.

Grand piano = 15,840 ounces.

Now, order these objects from heaviest to lightest.

So, we need to take a common unit to order the items:

Thus, we take pounds as a common unit.

16 ounces = 1 pound.

1 kilogram = 2.2 pounds.

1 ton = 2,000 pounds.

Then, we calculate the weight of all items in pounds:

School bus 9 tons  =9\times 2000=18000\ pounds.

Horse 1100 pounds  =1100\ pounds.

Elephant 5500 kilograms  =5500\times 2.2=12100\ pounds.

Grand piano 15840 ounces  =15840\div 16=990\ pounds

According to question:

Ordering from heaviest to lightest:

<em>School bus = 18000 pounds, elephant = 12100 pounds, horse = 1100 pounds and grand piano = 990 pounds.</em>

Therefore, ordering of objects from heaviest to lightest are  ⇒  school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.

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