Emily runs a hotel. She wants to hold a party in the banquet hall of her hotel. The hall has a size of 120,000 square feet. By fire code the maximum population density of the hall is 0.004 people per square foot. This includes all the people in the banquet hall. What is the maximum number of people that can attend the party if she has it in the banquet hall?

Answer:

check B and E

Step-by-step explanation:

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and PQR are congruent.

Now, By definition of congruency we get;

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

Thus, All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

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Using the given recursive function, we have that:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

The recursive function for this problem models the number of squirrels in the park at the end of month n+1, considering the amount present at the end of month n, as follows:

[tex]S_{n+1} = 1.6S_n - 30[/tex]

For this problem, we have that at the amount at the end of May is of 70, hence:

[tex]S_{5} = 70[/tex]

Hence, we find the amounts at the end of June, July and August, as follows:

Hence:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

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Answer:

200r

Step-by-step explanation:

All you have to do is multiply the 10 and 20 to get 200 and then put the r after the 20, so it would look like this 200r

Answer:

MMEEEE but im SOOO behinnnd

Step-by-step explanation:

Answer:

Not me sorry.

Step-by-step explanation:

Answer:

trench

Step-by-step explanation:

Answer:

6l², where l is the length of one side.

If the side is increased 10 times,

6(10l)²

=100 x6l²

The surface area increases 100 times. Thus, the new surface area is

272 * 100

= 27,200 sq in

Step-by-step explanation:

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]

We also know that [tex]\pi[/tex] is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]

Now solve for the equation.

V=267.94...

So rounded that is 268.

Answer:

This is the exterior angle theorem, so

x+30+x+22=130

2x+52=130

2x=78

x=39

sooooooooooooo

39+22=61 degrees

61 degrees

Answer:

21

Step-by-step explanation:

First set up the equation

130 + x + 30 + x + 22 = 180  (triangle angles always add up to 180)

then start to solve to find x

130 +2x + 30 + 22 = 180

182 + 2x = 180

-182          -182

2x = -2

/2     /2

x = -1

Then just plug it back into the equation

-1 + 22

21

Answer:

x=-5/11, y=-9/11. (-5/11, -9/11).

Step-by-step explanation:

3x+2y=-3

y=4x+1

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

3x+2(4x+1)=-3

3x+8x+2=-3

11x=-3-2

11x=-5

x=-5/11

y=4(-5/11)+1

y=-20/11+11/11

y=-9/11

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Answer:

p=4x^3−3x^2+5x−2/x

Step-by-step explanation:

Let's solve for p.

px=4x^3−3x^2+5x−2

Step 1: Divide both sides by x.

px/x=4x^3−3x^2+5x−2/x

p=4x^3−3x^2+5x−2/x

Answer:

p=4x^3−3x^2+5x−2/x

( I hope this was helpful) >;D

Answer:

x = - 2, y = 1

Step-by-step explanation:

Comparing both the equations,

→ y = y → x + 3 = - 2x - 3

=> x + 3 = - 2x - 3

=> x + 2x = - 3 - 3

=> 3x = - 6

=> x = - 6/3 = - 2

Substitute the value of x in any of these:

=> y = x + 3 = - 2 + 3 = 1

Answer:

Step-by-step explanation:

If a solution exists for the system of equations y=y so we can say

x+3=-2x-3 Add 2x to each side

3x+3=-3 Subtract 3 from each side

3x=-6. Divide each side by 3

x=-2, since y=x+3

y=-2+3

y=1

So the solution to the system of equations is the point (x,y)=(-2,1)

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

The sum of the angles of a quadrilaterals is 360 so 8s=360 s=45

Answer:

D

Step-by-step explanation:

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

Answer: 25 sixth graders

Step-by-step explanation:

Sixth-graders are in a ratio with fifth graders in the band at 5:4 and there are 20 fifth-grade students in the band.

To find the number of 6th graders, use direct proportion and assume the sixth grader number is x:

5                   :            4

x                    :            20

4x = 100

x = 100 / 4

x = 25 sixth graders

Answer: third graph -4,2 -2,-7

Step-by-step explanation:

Answer:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment develop

Step-by-step explanation:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment  develop

Answer:

[tex]x=6.25\\y=-1.25[/tex]

Step-by-step explanation:

[tex]3x+5y=10\\x+3y=1\\\\[/tex]

Second equation times 3:

[tex]3x+9y=3[/tex]

1st equation minus equation above:

[tex]-4y=7\\y=-7/4[/tex]

Insert to equation:

[tex]3x+\frac{-35}{4}=10\\12x-35=40\\12x=75\\x=75/12=6.25[/tex]

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

[tex]\sqrt{\frac{49}{16}[/tex]

Step-by-step explanation:

Answer:

y = -28/5

Step-by-step explanation:

R = 7x +5y

35 = 7(9) + 5y

35 = 63 +5y

-5y= 63- 35

-5y/-5 = 28/-5

Y = -28/5

Answer:

Y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given

R = 7X + 5Y ← substitute X = 9, R = 35

35 = 7(9) + 5Y

35 = 63 + 5Y ( subtract 63 from both sides )

- 28 = 5Y ( divide both sides by 5 )

- [tex]\frac{28}{5}[/tex] = Y

Answer:

10x²+8x

Step-by-step explanation:

times everything in the bracket by 2x

Answer:

Value of the car at the end of 3 years is £7917.75

Step-by-step explanation:

The car is purchased for £11500.

In the first year, 15% depriciation.

So, depreciation on first year =11500 *[tex]\frac{15}{100}[/tex] =1725

After first year depreciation the value of car =11500-1725 =£9775

Now, second year depreciation is 10%

So, 10% of 9775 =0.10*9775 =977.5

Value of car after 2 years = 9775 -977.5 =8797.5

Now, for third year depreciation is 10%.

So, depreciation on 3 year = 10% *8797.5

                                           =0.10*8797.5

                                          =879.75

So, value of car after 3 years = 8797.5 -879.75 =£7917.75

Answer:

v = 132

Step-by-step explanation:

divide 792 by 6 to get v

Answer:

v = 132

Step-by-step explanation:

Just divide the terms by 6 and then simplify.

Answer:

6+7= 13

Step-by-step explanation:

you replace a with 7

Answer:

Step-by-step explanation: