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3 years ago

Is 120 of 100 larger than 100

Mathematics

1 answer:

iragen [17]3 years ago

7 0

$\text{Hey there!}$

$\text{Is 120\% of 100 larger than 100?}$

$\boxed{\text{The answer is: YES it is larger than 100}}\checkmark$

$\text{Reason}\downarrow\\\text{The word "of" means multiply in mathematical terms}\\\text{120\% = 1.2}\\\text{Re-ask yourself: Is 1.2}\times\text{100 larger than 100?}\\\bf{1.2\times100 = 120}\\\text{120 is LARGER/BIGGER than 100}$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

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Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

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3 years ago

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Cleo would be 193 years old when Clara turns 38

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If the are of a square is multiplied by 9, the area becomes 16 square inches. Find the length of the X side of the square.

Volgvan

X^2 = 16/9
X = 4/3

Length of X is 1 1/3 inches

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2 years ago

Basketball player made 36 free throws in 16 games. Find the ratio of free throws to games.

Misha Larkins [42]

36 free throws , 16 games
ratio of free throws to games is 36:16 which reduces to 9:4

u have to pay attention to the wording of problems such as these..because if it would have asked for the ratio of games to free throws, it would have been 16:36 = 4:9

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Which is the value of g(-5) if g(x) = 3.40 – 8

Mila [183]

Answer:

Step-by-step explanation:

If you have written g(x) correctly then g(-5) = 3.40 - 8 = -4.6

If you meant to write g(x) = 3.40x - 8, then g(-5) = -25

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3 years ago