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3 years ago

At the cinema, 372 seats are divided into 6 sections. How many seats are in each section?

Mathematics

2 answers:

trapecia [35]3 years ago

8 0

Answer:

Step-by-step explanation:

AveGali [126]3 years ago

8 0

Answer:

62 Seats in each section

Step-by-step explanation:

It's quite simple.

All you must do is divide 372 by 6

372 ÷ 6 = 62

So, there are 62 seats in each section

I hope this helps you out ; ).

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20 muffins were bought for £10.60 and sold for £12.40 what was the profit on each muffin

Tasya [4]

Answer: 1.80

Step-by-step explanation:

Profit on each muffin = selling cost-buying cost

=12.40-10.60

=1.80

5 0

3 years ago

Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR

erik [133]

Answer:

392

Step-by-step explanation:

Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.

Extend lines XQ, YR, YS and XP and mark their intersection as A and B.

Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore

all angles of the quadrilateral XAYB are right angles

all sides of XAYB are congruent and equal to 6 + 8 = 14 units.

Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,

$XY^2=XA^2+AY^2\\ \\XY^2=14^2+14^2\\ \\XY^2=196+196\\ \\XY^2=392$

3 0

3 years ago

Prove Forall a, b, c elementof Z^+, if a|(b + c) and a|c then a|b.

In-s [12.5K]

Answer with explanation:

If A is a positive Integer , then if A divides B , then in terms of equation it can be written as

→B=A m ,where m is any integer.

⇒Now, it is given that , three elements , a , b and c belong to set of Integers.

a divides b+c,and a divides c

then we have to prove that , a divides b.

Proof

→b+c= k a,where k is an integer , as b+c is divisible by a.

→Also, c= m a, where m is an integer.Because c is divisible by a.

→b+ m a= k a

→b=k a - ma

→b=a (k -m)

Since, k and m are both integers.So , k-m will be also an integer.

Let, k-m =p

→b=a p

which shows that , b is divisible by a.

Hence proved.

3 0

4 years ago

Determine the value of c that makes the function f(x y) = c/x-y/ a joint discrete probability density function for x=2,0,2 and y

UkoKoshka [18]

Given: The given function is

$f(x,y)=c(x-y)$

To find: Here we need to find the value of c for which f(x,y) will be a joint

discrete probability density function.

Solution:

Now, to find c we have,

$\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\$

∴ $c=\frac{1}{5}$

Therefore, the required value of c is 1/5.

7 0

3 years ago

Carlos figures he will spend on average $780 per month in rent and utilities. his total monthly expenses will total $1,950. He w

nekit [7.7K]

I am not sure...but....
(780/1950) * 360 ( as a circle has 360 degrees, you multiply with 360)

Ans= C 144.

6 0

4 years ago