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Marianna [84]
3 years ago
8

A striped marlin can swim at a rate of 70 miles per hour. Is this a faster or slower rate than a sailfish, which takes 30 minute

s to swim 40 miles? Show your work.

Mathematics
2 answers:
Vilka [71]3 years ago
5 0
Let's do the work shall we....

this is going to be a ratio problem.


Striped Marlin:
70 miles/ One hour (Or 60 minutes)

Sailfish:
40 miles/ 30 minutes.

Since 30 minutes is only one half of 60 minutes, all we have to do is multiply the sailfish ratio by 2 in order to receive the correct mph.

(40miles/30 minutes) x2 = (80 miles/60 minutes(or one hour)).

Therefore, the sailfish is faster! 80 miles per hour is faster than the 70 mph marlin.
VladimirAG [237]3 years ago
3 0
You convert the minutes to hours and the marlin is slower because 70 mph is less than 80 mph.My work is in the attachment.

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Please help me out!<br> (show all work)
Brums [2.3K]
First verify it holds for n=1
then you are allowed to assume it holds for n and you can start with the induction step

for n+1 instead of inserting it into the equation, add it to both sides and transform it to the original formula to proof its equality

1^{2}+2^{2}+3^{2}+...+n^{2}+(n+1)^{2}=\frac{n(n+1)(2n+1)}{6} +(n+1)^{2} \\ =\frac{n(n+1)(2n+1)+6(n+1)^{2} }{6}\\ =\frac{n(n+1)(2n+1)+6(n+1)(n+1)}{6}\\ =\frac{(n+1)(n(2n+1)+6(n+1))}{6}\\ =\frac{(n+1)((2n^{2}+n)+6(n+1))}{6}\\ =\frac{(n+1)(2n^{2}+7n+6)}{6}\\ =\frac{(n+1)(n+2)(2n+3)}{6}\\ =\frac{(n+1)((n+1)+1)(2(n+1)+1)}{6}

this equals the original formula if you had inserted n+1, proving the correctness
3 0
3 years ago
Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?
trasher [3.6K]

Answer:

Uriel's stick is LONGER by 7/24 feet

Step-by-step explanation:

Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?

The above question is solved as

Uriel's stick - Nat's stick

= 3 2/3 feet - 3 3/8 feet

= 7/24 feet

Hence, Uriel's stick is LONGER by 7/24 feet

5 0
3 years ago
During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
yuradex [85]
What is the question??
3 0
3 years ago
Isabelle has $1520 in her bank account and makes automatic $760 monthly payments on a home loan. If she stops making deposits to
Leto [7]

Answer:

After 2 months

Step-by-step explanation:

Isabelle has $1520 in her bank account and she makes automatic $760 monthly payments on a home loan.

If she stops making deposits to that account, then a monthly $760 will be deducted from her account.  

After 1 month the balance in her account will become $[ 1520 - 760 ] = $760 and then after 2 months the balance will become $[ 760 - 760 ] = $0

Therefore, after 2 months her account will have zero balance. (Answer)

6 0
3 years ago
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What i
pochemuha

Answer:

A

Step-by-step explanation:

<em>Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100</em>

<em />

<em>divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.</em>

<em>then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to </em><em>22.50</em><em>.</em>

7 0
3 years ago
Read 2 more answers
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