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3 years ago

The product of two consecutive positive integers is 26 more than ten times the largest of the two numbers.

Mathematics

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

x(x+1)=10(x+1)+26

Step-by-step explanation:

Let the two consecutive positive integers be x and x+1.

The product of these two integers is x(x+1).

The largest of the two numbers is x+1.

By given, x(x+1)=10(x+1)+26.

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2 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

A mistake was made in mixing the lemonade—<br> PLEASE HELP!!

beks73 [17]

Answer:

Part A:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

$x = 8/3\ quarts\ of\ 100\%\ solution$

$y = 20/3\ quarts\ of\ 70\%\ solution$

Part B:

$x + y = 10$

$2x + 3y = 23$

$x = 7$ and $y = 3$

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

Using the value of y from the first equation in the second one, we have:

$2 + x = 0.7*(4 + x)$