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3 years ago

There are two numbers. Their GCF is 5. Their LCM is 150. The first number is 25. What is the second number?

Mathematics

2 answers:

Galina-37 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

svp [43]3 years ago

5 0

Answer:

if 150 is a multiple, then all of the factors of the second number must also be factors of 150 which are: 5 (twice), 2 and 3.

Since 150 is the LCM, all of those factors must be either in our number or 25. Since 25 has just 5 (twice) as a factor, both 2 and 3 must be factors.

The remaining question is how many 5s we have. Since the GCF with 25 is 5, our number must exactly one 5.

So the factors of our number are: 2, 3, and 5. There is one number with exactly these factors = 2*3*5 = 30.

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In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length o

Flura [38]

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

s------> the length of the third side

$25+s > 35 \\ s > 35-25 \\ s> 10\ cm$

$25+35 > s \\ 60 > s \\ s< 60\ cm$

$10\ cm < s < 60\ cm$

therefore

The answer part a) is

$10\ cm < s < 60\ cm$

we know that

the perimeter of a triangle is the sum of the length sides

In this problem

$P=25+35+s\\P=60+s$

For $s> 10\ cm$

the perimeter is equal to

$P > 60+10\\ P>70\ cm$

For $s< 60\ cm$

the perimeter is equal to

$P < 60+60\\ P$

$70\ cm < P < 120\ cm$

therefore

the answer part b) is

$70\ cm < P < 120\ cm$

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