Ask question

Ask question

All categories

3 years ago

6

A Theater has 500 seats. three-fourths of the seats are filled how many seats are filled? Explain your work

2 answers:

Orlov [11]3 years ago

4 0

75% of 500 is 375
so there are 375 seats filled.
so that mean's there 125 seats left

makkiz [27]3 years ago

4 0

400 seats are filled since there are 500 and three fourth would mean 400

You might be interested in

The new total is $60,but the sales tax is 5% of the bill. How much is the sales tax?

Serhud [2]

3. .5*60 because .5 represents the 5% and "of" stands for multiplication

7 0

2 years ago

Read 2 more answers

In how many ways can a committee of 5 people be chosen from a total of 30 possible people?

Stolb23 [73]

Answer: 142506

Step-by-step explanation:

Given : The total number of choices for people in committee = 30

The number of people need to be chosen =5

Since , here order doesn't matter, so we use combination.

The combination of r things taking from n at a time is given by :-

$C(n,r)=\dfrac{n!}{(n-r)!r!}$

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

$C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506$

Hence, the committee can be made in 142506 ways.

3 0

2 years ago

If a car averages 23.2 miles per gallon of gasoline, how far can it go on 15.25 gallons?

ankoles [38]

The car goes 23.2 miles every gallon, so with 15 gallons (15 * 23.2 = 348) it can go 348 miles. With the extra .25 that the car has, it can go 0.25 * 23.2 = 5.8 miles. 348 miles plus the 5.8 miles gets you 353.8 miles on 15.25 gallons.

8 0

3 years ago

The questions are on the attached screenshot file.

Makovka662 [10]

Look at the ss down below

4 0

2 years ago

Read 2 more answers

A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price

Over [174]

$\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}$

We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

$\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}$

$\large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}$

$\large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}$

$\large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}$

$\large{ \tt{⇢ \: 113 \: SP = 406800}}$

$\large{ \tt{⇢ \: SP = \frac{406800}{113} }}$

$\large{ \tt{⇢ \: SP = 3600}}$

Hence , SP = Rs 3600

$\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}$

Let Marked Price [ MP ] be x.

$\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}$

$\large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}$

$\large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}$

$\large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}$

$\large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}$

$\large{ \tt{⇾ \: 90x = 360000}}$

$\large{ \tt{⇾ \: x = \frac{360000}{90} }}$

$\large{ \tt{⇾ \: x = Rs \: 4000}}$

$\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}$

Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)

6 0

3 years ago