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3 years ago

10

Write 5 5/9 as a improper fraction

1 answer:

4vir4ik [10]3 years ago

3 0

5 5/9
5 * 5/9
25/9
The correct answer is 25/9, as shown above.

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A 35-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36 m. Find the length

Troyanec [42]

About 50.2
Think of a^2 + b^2 =c^2

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3 years ago

Hi! When I type into the calculator and multiply 0.12 and 100 it comes out as 13.2, why is that?

jok3333 [9.3K]

Answer:

because it is a decimal so it multiplies 100 by the decimal which is a smaller number, almost like how when you divide it becomes a smaller number.

Step-by-step explanation:

hope this helps:)

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3 years ago

Read 2 more answers

Katya tutors and works in the college bookstore to pay for her college tuition. She makes $20 per hour tutoring and $8.50 per ho

strojnjashka [21]

We have to write the equation which represents Katya's earnings while tutoring and working in a book store is given as follows:

She makes $20 an hour while tutoring. Let's say she tutors for 'x' hours in a day. So, she will make $20 \times x = 20x$ dollars by tutoring in a day.

She makes $8.50 an hour while working in the bookstore. Let's say she works for 'y' hours in the bookstore in a day. She will make $8.50 \times y = 8.50y$ dollars by working in the bookstore.

Therefore, the equation representing her total amount of money that she makes from both the places is given by:

$(20x + 8.50 y)

Since, Tution for 16 weeks is $5,736. So the amount of tuition for each week is = $\frac{5736}{16}$ = 378.5 dollars

So, Katya needs to make 378.50 dollars a week.

Since, She worked for 21 hours in the book store, so she makes

$21 \times 8.50$ dollars= 178.50 dollars a week from the bookstore

So, now she needs to make = 378.50 - 178.50 = $180 a week while tutoring

Since she makes 20 dollars an hour from tutoring.

She needs to tutor = $\frac{180}{20}$ =9 hours a week to make the rest of the tuition.

So, Katya has to work for 9 hours in tutoring.

3 0

3 years ago

A hot air ballon ascended at the rate of 400 dreams per hot for 3 hours and 15 min. What was the total distance that the ballon

alexandr1967 [171]

If it is 400 m/s then it's the answer

v= s/t
400m/s= s/11700 195×60=11,700 sec
s= 400 × 11700
s= 4,680,000 m/s ^2

11,700×400=4,680,000

4 0

3 years ago

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.

Arisa [49]

Answer: $S_n=5(1-\dfrac{1}{n+1})$ ; 5

Step-by-step explanation:

Given series : $[\dfrac{5}{1\cdot2}]+[\dfrac{5}{2\cdot3}]+[\dfrac{5}{3\cdot4}]+....+[\dfrac{5}{n\cdot(n+1)}]$

Sum of series = $S_n=\sum^{\infty}_{1}\ [\dfrac{5}{n\cdot(n+1)}]=5[\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}]$

Consider $\dfrac{1}{n\cdot(n+1)}=\dfrac{n+1-n}{n(n+1)}$

$=\dfrac{1}{n}-\dfrac{1}{n+1}$

⇒ $S_n=5\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}=5\sum^{\infty}_{1}[\dfrac{1}{n}-\dfrac{1}{n+1}]$

Put values of n= 1,2,3,4,5,.....n

⇒ $S_n=5(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......-\dfrac{1}{n}+\dfrac{1}{n}-\dfrac{1}{n+1})$

All terms get cancel but First and last terms left behind.

⇒ $S_n=5(1-\dfrac{1}{n+1})$

Formula for the nth partial sum of the series :

$S_n=5(1-\dfrac{1}{n+1})$

Also, $\lim_{n \to \infty} S_n = 5(1-\dfrac{1}{n+1})$

$=5(1-\dfrac{1}{\infty})\\\\=5(1-0)=5$

4 0

3 years ago