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kykrilka [37]
3 years ago
5

You are in charge of finding a venue for a concert. With the average square feet per

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

<em>184,499 will fit, Yes</em>

Step-by-step explanation:

<u>Proportions</u>

We'll use proportions to answer the question and find the number of students fit into a building of 300 ft x 300 ft. The area of the building is

300\ in\times 300\ in=90000\ in^2

We are given a factor of 2.05 students per square feet, thus the number of students that fit into the building is

2.05\cdot 90000\ in^2=184500

Since 184500 is greater than 142551 people required, they easily fit into that space.

The closest answer is

184,499 will fit, Yes

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23. What is the equation of the line that contains the points (2, 1) and (-1, -8)?
Sauron [17]
I'm guessing this is a slope problem, so the equation would be like this: y = mx + b where m is the slope and b is the y-intercept.

m =  \frac{y1 - y2}{x1 - x2}
Using this,
m =  \frac{1  + 8}{2  + 1}  =  \frac{9}{3}
Which is equal to,
m = 3
6 0
3 years ago
Hi! Does any one know how to do proportions? If so can you please help me out with these 2 problems? please show work on how you
Nataly [62]
Answers:

1.) 18 lemons
2.) 80 minutes

Explanation:

Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.

Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.

If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.

For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.

This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).

If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.

Hope this helps :)
6 0
3 years ago
6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Whic
Contact [7]

Answer:

  • T'(4, 3)

Step-by-step explanation:

<u>The rule of 90° counterclockwise rotation about the origin:</u>

  • (x, y) → (-y, x)

<u>Apply the rule to the point T:</u>

  • T(3, -4) → T'(4, 3)
3 0
3 years ago
Read 2 more answers
An automobile with 0.279 m radius tires travels 65000 km before wearing them out. How many revolutions do the tires make, neglec
bija089 [108]

Answer:

Revolutions=37079108.61 rev

Step-by-step explanation:

First if all we have to make the units same to calculate the revolutions

Since distance gis gien in km and radius is given in m we will covert distance to m first.

Distance =S=65000km

Distance=S=65000km*1000m/km

Distance = S= 65000000m

Formula:

S=rθ

where

S is the distance

r is the radius

θ is the revolution in radian

θ=S/r

θ=65000000/0.279

θ=232974910.4 rad

Revolutions=θ/2π

Revolutions=232974910.4/2π

Revolutions=37079108.61 rev

7 0
3 years ago
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
Angelina_Jolie [31]
The slope of line M`N` is : B ) 1
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3 years ago
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