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3 years ago

Find the smallest number that divides by 44 55 and 220 leaving remainder 5

1 answer:

galina1969 [7]3 years ago

8 0

The numbers from which we are to determine the smallest number that can be divided leaving a remainder of 5 are 44, 55, and 220. We have to do the prime factorization of all the numbers to determine their least common multiple (LCM).

Factorization of 44:
44 = 11 x 4 = 11 x 2 x 2

Factorization of 55:
55 = 11 x 5

Factorization of 220:
220 = 11 x 20 = 11 x 5 x 4

Since 220 has all the factors from 55 and 44 then, the least common multiple is 220. Add 5 to the LCM in order to determine the unknown.

<em>ANSWER: 225</em>

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3 years ago

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Marizza181 [45]

Hey there!

<h2>ANSWER: </h2>

Non linear

<h2>EXPLANATION:</h2>

Is $2^x=8$ linear or non-linear.

Since x has an exponent value that is equal to 2, it's non-linear. So that means $2^x=8$ is non-linear.

Hope this helps!

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3 years ago

Read 2 more answers

What are the answers for 7 and 8??? please help

wolverine [178]

Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

FH = 130

FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit$

Therefore FT is 33 unit.

8.)

Given:

ΔSTU ~ ΔFED

ST= 63

FE = 9

FD = 14

To Find:

SU = ?

Solution:

ΔSTU ~ ΔFED ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit$

Therefore SU is 98 unit.

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3 years ago