One number is 1 more than 2 times another. Their product is 10. Find the numbers.

1 answer:

Taya2010 [7]3 years ago

3 0

Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.

In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.

this means our two numbers are 5 and 2

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Round the numbers to the nearest cent and then to the nearest dollar. 23. $62.756 24. $38.415

MrMuchimi

Answer:

23. $ 62.76 to the nearest cent

$63.00 to the nearest dollar

24. $ 38.42 to the nearest cent

$38.00 to the nearest dollar

Step-by-step explanation:

When we round to the nearest cent we round the second number after the decimal. We look at the third number after the decimal. If it is 5 or above we round up.

When we round to the nearest dollar, we round the number befroe the decimal. We look at the number after the decimal. If it is 5 or above we round up.

23. $62.756 we round the 5 so we look at the 6 6>= 5 so we round up

$ 62.76 to the nearest cent

$62.756 we round the 2 so we look at the 7 7>= 5 so we round up

$63.00 to the nearest dollar

24. $38.415 we round the 1 so we look at the 5 5>= 5 so we round up

$ 38.42 to the nearest cent

$38.415 we round the 8 so we look at the 4 4< 5 so we leave alone

$38.00 to the nearest dollar

6 0

3 years ago

Please help ASAP!!! Will give brainlist :)

Furkat [3]