In a public show 75 % of seats were filled if there were 600 seats in the hall, how many seats were vacant ?

Answer:

126 minutes

Step-by-step explanation:

17.12 - 2 = 15.12

15.12 divided by 0.12 = 126 min

Answer:

[tex]M = 1.75[/tex] --- Movies

[tex]V = 5.5[/tex] --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

[tex]2M + 3V = 20[/tex]

The next month, the expression is:

[tex]6M + 5V = 38[/tex]

Required

Find M and V

We have:

[tex]2M + 3V = 20[/tex] --- (1)

[tex]6M + 5V = 38[/tex] --- (2)

Multiply (1) by 3.

3 * [tex]2M + 3V = 20[/tex]

[tex]6M + 9V = 60[/tex] --- (3)

Subtract (1) from (3)

[tex]6M + 9V = 60[/tex]

- [tex]6M + 5V = 38[/tex]

-------------------------

[tex]6M - 6M + 9V - 5V = 60 -38[/tex]

[tex]4V = 22[/tex]

Divide by 4

[tex]V = 5.5[/tex]

Substitute 5.5 for V in (1)

[tex]2M + 3V = 20[/tex]

[tex]2M + 3 * 5,5 = 20[/tex]

[tex]2M + 16.5= 20[/tex]

Subtract 16.5 from both sides

[tex]2M = 3.5[/tex]

Divide by 2

[tex]M = 1.75[/tex]

Answer:

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Step-by-step explanation:

Given that;

f(x, y) = 4y √x, (4, 1)

{ x=4 and y=1 }

Maximum rate of change occurs with the gradient vector;

[tex]\nabla[/tex]f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]

we substitute in our value of x and y

[tex]\nabla[/tex]f =  2(1)/√4, 4√4

[tex]\nabla[/tex]f = 2/√4, 4√4

[tex]\nabla[/tex]f = ( 1, 8 )

Maximum rate change |[tex]\nabla[/tex]f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = [tex]\nabla[/tex]f / |[tex]\nabla[/tex]f|

we substitute

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Answer:

a) 1/9

b)1/64

c)1/16

Step-by-step explanation:

Answer:

7

2n + 3n + 4n. = 63

9n = 63

n = 63/9

n = 7

hope it helps

Answer:

n=7

Step-by-step explanation:

add 2n+3n+4n, which gives 9n =63

Divide by 9 on both sides, 9n/9 =63/9

n=7

If you need to confirm that's the right answer, just plug 7 back as n

2(7)+3(7)+4(7)=63

14+21+28 =63

63=63

Answer:  There are  12 months in one 1 year

Step-by-step explanation:

Answer:

D) 36 cm^2

Step-by-step explanation:

(9 x 3) + (2 x 4.5)(2)(0.5) = 36 cm^2

Answer:

C) 1/2

Step-by-step explanation:

6 out of 12, so 1/2

Answer:

B

Step-by-step explanation:

Answer:

-7333/4400

Step-by-step explanation:

Answer:

15°

Step-by-step explanation:

2x+5=3x

5=3x-2x

5=x

Now we can solve the angle.

<BAD=2x+5 = 2(5)+5 = 10+5 = 15°

Answer:

4x^2 - 4x + 1

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

It’s a ratio:

9.9/11=x/30

cross multiply

11x=297

x=27

Answer:

I think it would be 4 mph because 4x4 is 16

Answer:

40 ounces

Step-by-step explanation:

well if every peach weighs 5 ounces and she buys 8, just do 8 x 5 and you get 40

Answer:

Step-by-step explanation:

A regular polygon is a polygon that is both equiangular and equilateral. All sides are equal length placed around a common center so that all angles between sides are also equal. When the number of sides, n, is equal to 3 it is an equilateral triangle and when n = 4 is is a square.

Answer:

0.16 I think............

Answer:

0.16666666666

Answer:

$123.66

Step-by-step explanation:

53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66

Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

It is proved that the given decimals are equivalent decimals.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

3^3

Step-by-step explanation:

[27]^2/3 can also be written as,

[(3)^3]^2/3

Now we know that a^m * a^n = a^m+n, therfore,

[3]^ 3*2/3

Cut 3 and 3

Therefore, you get 3^3

Let me know if you understood. If you didnt I can try to explain it to you in another way.

Also, plz mark me as the brainliest!

Answer:

W + 5

Step-by-step explanation:

Given a number, W

An increase in W by a constant 5 ; can be expressed as ;

W plus the constant value increase

Hence,

Increase in W by 5 equals ;

W + 5

Answer:

B .3 I m not sure about it but I think it's 3

Answer:

$615.54

Step-by-step explanation:

Step 1

Write your problem.

577.98 x 6.5% = ?

Step 2

Convert the % to a decimal:

6.5% to 0.065

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

577.98 x 0.065 = 37.56

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

577.98 + 37.56 = $615.54 (total cost)

Answer:

unknown value = 800

Step-by-step explanation:

f(x) = 1333/100·x + 1/5

so if x = 60 - > (1333/100)60+1/5 = 800

Answer: 800

Step-by-step explanation: 933.3-133.3=800-133.3=666.7-133.3=533.4

Answer:

(-6, -6)

Step-by-step explanation:

Find the coordinates of the point where the lines with equations y=x and y=-6 intersect.

The lines intersect at y = y

Equating the right hand side of both expressions we have;

x  = -6

Since y = x, hence y = -6

The required coordinate where they intersect is at (-6, -6)

Answer:

8,978 People

Step-by-step explanation:

13,400 x 0.33 = 4,422

13,400 - 4,422 = 8,978