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3 years ago

What Is The Highest Common Factor in 160 and 4800

Mathematics

1 answer:

Mariana [72]3 years ago

5 0

Answer: the greast common factor between the two is 160

Step-by-step explanation: Find the prime factorization of 160

160 = 2 × 2 × 2 × 2 × 2 × 5

Find the prime factorization of 4800

4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2 × 2 × 5

Hope this helps and thanks again for helping me :)

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John is 5ft tall and is standing in the light of a 15ft lamppost. His shadow is 4ft long. He walks 1ft father away from the lamp

Dennis_Churaev [7]

The shadow lengthened by 2.25 ft.

Step-by-step explanation:

Height of the lamppost is not needed here.

We can write the ratio as,

5 /4 = x/5

25 = 4x

x = 25/ 4

Now it is not needed to find the length of the new shadow, and so, we need to find the length of the added shadow.

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3 years ago

A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds

jonny [76]

Answer: The fraction of pounds of fruits over total pounds of fruits and vegetables is given by

$\frac{25125}{66724}$

Step-by-step explanation:

Since we have given that

Total amount of vegetables = 208 pounds

Total amount of fruits is given by

$125\frac{5}{8}\text{ pounds}$

Total amount of fruits and vegetables is given by

$208+125\frac{5}{8}\\\\=208+\frac{1005}{8}\\\\=\frac{1664+1005}{8}\\\\=\frac{2669}{8}\\\\=333.625\text{ pounds }$

So, we need to find the fraction of pounds of fruits over the total pounds of fruit and vegetables :

$\frac{\text{Pounds of fruits }}{\text{ total pounds of fruits and vegetables}}\\\\=\frac{\frac{1005}{8}}{333.62}\\\\=\frac{1005}{8\times 333.62}\\\\=\frac{1005}{2668.96}=\frac{25125}{66724}$

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3 years ago

What Is The Highest Common Factor in 160 and 4800​

What Is The Highest Common Factor in 160 and 4800