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vitfil [10]
3 years ago
12

if a theatre holds 1,200 people, and sells 2/3 of its seats, how many tickets does it sell? 500 600 750 800 900

Mathematics
1 answer:
Scrat [10]3 years ago
3 0
<span>The correct answer is: 800

Explanation:
If the threatre holds 1200 people, it means that there are total 1200 seats in the theatre.

2/3 of the total seats are sold; mathematically we can write it as:

(Total-number-of-seats) * (Fraction-of-seats-sold)
1200 * 2/3 = 800

Hence there are 800 tickets are sold.</span>
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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
3 years ago
Charlie used these steps to solve the equation 6x+5=1+2(3x+2)6x+5=1+23x+2. Which choice describes the meaning of his result, 5
zaharov [31]
We have that
<span>[6x+5]=1+2*(3x+2)
[6x+5]=1+2*3x+2 --------> is not correct ------->1+ 2*(3x+2)=1+2*3x+2*2 

then 
</span>[6x+5]=1+6x+4---------------> [6x+5]=[6x+5] 

<span>this equation is an identity, all real numbers are solutions.</span>
5 0
3 years ago
Read 2 more answers
Please help me solve this step by step please :(
Ratling [72]

Answer:

B) 60.21 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches

8’6”=102’

14’2”=170’

Now find the area

1/2 x 102 x 170 = 8670 in²

This is one of the answers, but the quetion asks how many quart feet you need.

So, convert it back to feet.

8670 x 0.06944444444 = 60.2083333

(You could also have converted the two lengths to feet. 8’6” = 8.5 ft.  14’2” = 14.16666666.  This way would probably have been faster.

1/2 x 8.5 x 14.166666 = 60.20833333)

3 0
3 years ago
Find the gradient of the line segment between the points (0,2) and (-2,10).​
Tasya [4]

Answer:

-4

Step-by-step explanation:

Find the gradient of the line segment between the points (0,2) and (-2,10).​

Given data

x1= 0

x2= -2

y1= 2

y2=10

The expression for the gradient is given as

M= y2-y1/x2-x1

substitute

M= 10-2/-2-0

M= 8/-2

m= -4

Hence the gradient is -4

5 0
3 years ago
You will be the First to get Brainlyest
White raven [17]

Answer:

Look if it has 1 regtangle as the base and 4 triangles it is a rectangular pyramid.

If it has 2 circles as the base and a long tube it is a cylinder.

If it has 2 triangles and 3 rectangles it is a triangular prism

Lastly if it 6 sides of rectangles and squares it is a rectangular prism

3 0
3 years ago
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