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Arte-miy333 [17]
3 years ago
15

Olivia is on a road trip with her family. During a three- hour stretch,they traveled 183 miles.How fast were they driving in mil

es per hour?
Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

183/3 = 61

They drove 61mph.

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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.

3 0
3 years ago
consider the equation y = 8 - 3x. for every increase of 1 in the x- variable, what is the change in the y- variable?. a) increas
Lubov Fominskaja [6]

The change in the y-variable would be decrease of 3. The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query about and it will be able to help you.

3 0
3 years ago
Read 2 more answers
64 as a mixed number
Kaylis [27]
I'm perdy sure it's 64/1 but yk it could be something else XD :D good luck!

6 0
2 years ago
12 is what percentage of 80
PIT_PIT [208]

Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Step-by-step explanation:

_______________________________

12 = (n/100) * 80 ;

12 = (80n) /100 ;  Solve for "n:

Note:  80/100 = (80/10) / (100/10) = (8/10) = 0.8  ;

12 = (0.8)n  ;

↔ (0.8n) = 12

Multiply each side of the equation by "10" ; to get rid of the "decimal" ;

 10 * (0.8n) = 10 * 12 ;

to get:

_______________________________

8n = 120 ;

Divide each side of the equation by "8" ;

to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;

8n/8 = 120/ 8 ;

_______________________________

to get:

_______________________________

n = 15 .

_______________________________

Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Hope this helps!

Best wishes!

_______________________________

4 0
3 years ago
What is 3/2 in a mixed number
antoniya [11.8K]
Bonjour ,
 
3/2 = 2/2 + 1/2 
3/2 =    1  + 1/2
3/2 = 1  \frac{1}{2}
7 0
2 years ago
Read 2 more answers
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