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LenKa [72]
3 years ago
6

What's the greatest common factors of 55 and 77?

Mathematics
1 answer:
evablogger [386]3 years ago
6 0
The factors of 55 are 1, 5, 11, and 55 .

The factors of 77 are 1, 7, 11, and 77 .

The factors that are common to both numbers are 1 and 11 .

The greatest one is  <em>11</em> .


You asked for the "greatest", so you only get one of them.  If there were
more than one greatest, then you'd want to know which greatest was
greater than the other greatest.
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The sum of two integers is 26. the sum of the squares of the two integers is 340. what is the product of the two numbers?
Phoenix [80]
Lets say that the two unknown integers are n and m.

We know the following things about n and m:

n+m=26
n^2+m^2=340

And, we want to find nm.

To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

(n+m)^2=n^2+2nm+m^2

So, given what we know about the unknown integers, the previous can be written as:

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5 0
3 years ago
a tree casts a shadow 42 feet long.at the same time, a person 5 feet tall casts a shadow 7 feet long. what is the hight of the t
arlik [135]

Answer:

height of the tree is 30 feet

Step-by-step explanation:

a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.

shadow of a 5 feet tall person is 7 feet long

Let x be the height of the tree

shadow of a 42 feet tree is x feet long

Make a proportion

\frac{x}{42} =\frac{5}{7}

cross multiply

7x=(42)(5)

7x=210

divide by 7 on both sides

x=30

So height of the tree is 30 feet

4 0
3 years ago
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