An auditorium is to seat 2,400 people. The building code requires three square feet for each person. How many square meters will that auditorium have?

Answers

Answer 1

Answer:
______________________________________
Explanation:
______________________________________
Method 1)

2,400 person (3 ft² / person) = __?__ m² .

The units of "person" ; 'cancel out"; since "person/ person" = 1 ; and 1/1 = 1.

and we have: "2,400 * (3 ft²) = 7, 200 ft² .
______________________________________
We are ask to find the value, in units of "m² " ;
______________________________________
→ So; we convert "7, 200 ft² " ; to "m² " ;
______________________________________
  → Note the conversion: 1 m² = 10.7639 ft² ;
______________________________________
  → 7, 200 ft² * [ ( 1m²) / ( 10.7639 ft²) ] ;

= [ (7, 200 ) / (10.7639 )] m² ;

= 668.9025353264151469 m² ;

⇒ Round to 668.903 m² .
______________________________________
Method 2)
______________________________________

2,400 person (3 ft² / person) = __?__ m² .

Since we want the answer is units of: "m² " ;
___________________________________________
Let us convert: "3 ft² " to units of: "m² " ; and then rewrite the problem.
___________________________________________
→ Note the conversion: 1 m² = 10.7639 ft² ;
___________________________________________
   = [ (7, 200 ) / (10.7639 )] m²

= 668.9025353264151469 m²

⇒ Round to 668.903 m² .
______________________________________
Method 3)
______________________________________
2,400 person (3 ft² / person) = __?__ m² .
______________________________________
→ Note the conversion: 1 m² = 10.7639 ft² ;
______________________________________
(2,400 person) * (3 ft² / person) * [ ( 1m²) / ( 10.7639 ft²) ] ;

= { [ (2,400) * (3) * (1) ] / [ 10.7639 ] } m² ;

= { [ (2,400) * (3) ] / [ 10.7639 ] } m² ; {Note: The "1" can be ignored.}.

= [ (7,200) / (10.7639) ] m² ;

= 668.9025353264151469 m² ;

  ⇒ Round to 668.903 m² .
___________________________________________________

Related Questions

Find the points on the curve given below, where the tangent is horizontal. (round the answers to three decimal places.) y = 7 x 3 + 6 x 2 - 8 x + 7

Answers

Final answer:

To find the points where the tangent is horizontal on the given curve, find the values of x for which the derivative is zero.

Explanation:

To find the points on the given curve where the tangent is horizontal, we need to find the values of x for which the derivative of the curve is equal to zero. This is because the derivative represents the slope of the tangent line. Setting the derivative equal to zero and solving for x will give us the x-coordinates of the points.

The given curve is y = 7x³ + 6x² - 8x + 7. To find the derivative of this curve, we use the power rule of differentiation. The derivative is dy/dx = 21x^2 + 12x - 8.

Setting dy/dx equal to zero, we have 21x² + 12x - 8 = 0. To solve this quadratic equation, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). Using this formula, we can find the values of x that make the derivative equal to zero.

Keywords: curve, tangent, horizontal, derivative, quadratic equation

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What number would u add to complete the square ? x^2+22x=9

Answers

To complete the square, take half of the coefficient of x, 22, square it, then add it to both sides of the equation.

[tex]x^2 + 22x = 9[/tex]

22 / 2 = 11
[tex]11^2[/tex] = 121

[tex]x^2 + 22x + 121 = 9 + 121[/tex]
[tex]x^2 + 22x + 121 = 130[/tex]

Then you can go from there.

Solve this math problem: a bag of coins contains nickels, dimes, and quarters. there are a total of 21 coins in the bag, and the total amount of money in the bag is $3.00. there is one more dime than there are nickels. how many dimes, nickels, and quarters are in the bag?

Answers

Answer: There are 6 nickels, 7 dimes and 8 quarters in the bag.

Step-by-step explanation: Given that the bag contains coins of nickels, dimes and quarters. There are total 21 coins in the bag and number of dimes is one more than the number of nickels.

Let 'x' be the number of nickels in the bag.

So, number of dimes will be (x+1) and number of quarters will be (21-x-x-1) i.e., (20-2x).

Since there are total $3.00 amount of money in the bag, so

[tex]0.05x+0.10(x+1)+0.25(20-2x)=3\\\\\Rightarrow\dfrac{x}{20}+\dfrac{x+1}{10}+\dfrac{20-2x}{4}=3\\\\\Rightarrow \dfrac{x+2x+2+100-10x}{20}=3\\\\\Rightarrow -7x+102=60\\\\\Rightarrow 7x=42\\\\\Rightarrow x=6.[/tex]

Therefore, number of nickels = 6, number of dimes = 6+1 = 7 and number of quarters = 20-2×6 = 8.

Thus, there are 6 nickels, 7 dimes and 8 quarters in the bag.

Andrew ate 1/3 of a pumpkin pie. sarah ate 1/6 of the pie. how much pie is left?

Answers

this would be 1 - 1/3 - 1/6 = 6/6 - 2/6 - 1/6 = 3/6 = 1/2 answer

What is the product 4.6(-5.2)

Answers

Final answer:

The product of 4.6 and -5.2 is 20.12.

Explanation:

The product of 4.6 and -5.2 is calculated by multiplying the two numbers together. To do this, we can use the following steps:

Multiply the whole numbers: 4 * 5 = 20Multiply the decimal parts: 0.6 * 0.2 = 0.12Add the results: 20 + 0.12 = 20.12

Therefore, the product of 4.6 and -5.2 is 20.12.

Eight subtracted from five times a number is -138. what is the number?

Answers

8-5n= -138
You add 8 to each side
5n= -130
Divide by 5 on each side
n = -26

Have a wonderful day

Answer:

8-5n= -138

You add 8 to each side

5n= -130

Divide by 5 on each side

n = -26

Step-by-step explanation:

A firework exploded 1,360 meters away and the sound of the firework took 4 seconds to reach you. At what speed did the sound travel?

Answers

The answer is 340 meters per second. You divide the distance by the time to get the answer.

Answer:

Speed of sound, v = 340 m/s

Step-by-step explanation:

It is given that,

A exploded 1360 meters away, d = 1360 meters

time taken, t = 4 seconds

We need to find the speed of the travelled sound. Speed of sound is equal to the distance covered divided by total time taken i.e.

[tex]v=\dfrac{d}{t}[/tex]

[tex]v=\dfrac{1360\ m}{4\ s}[/tex]

v = 340 m/s

So, the speed with which sound is travelled is 340 m/s. Hence, this is the required solution.

which inequality best represents the following situation: A driver is on the highway, with a speed limit of 70 miles per hour, and is not breaking the law?

Answers

The answer to this question is A

Solve for x: 3|x - 3| + 2 = 14

A) no solutions

B) X = -1, x = 8.3

C) x = 0, x = 7

D) x = -1, x = 7

Answers

Two solutions,
x=7
x=-1
So, D would be your answer.

1 Subtract 22 from both sides
3|x-3|=14-23∣x−3∣=14−2

2 Simplify 14-214−2 to 1212
3|x-3|=123∣x−3∣=12

3 Divide both sides by 33
|x-3|=\frac{12}{3}∣x−3∣=
3

12

4 Simplify \frac{12}{3}
3

12
to 44
|x-3|=4∣x−3∣=4

5 Break down the problem into these 2 equations
x-3=4x−3=4
-(x-3)=4−(x−3)=4

6 Solve the 1st equation: x-3=4x−3=4How?
x=7x=7

7 Solve the 2nd equation: -(x-3)=4−(x−3)=4How?
x=-1x=−1

8 Collect all solutions
x=-1,7x=−1,7

I NEED MATH HELP, QUICK! PLEASE HELP ME!

The graph of the equation y = 3x + 4 is shown. Determine the value of y for the point
(-1, y).

Answers

When x is -1 Y will equal -1

To find the value of y for the point (-1, y) in the equation y = 3x + 4, plug in -1 for x and solve: y = -3 + 4, which simplifies to y = 1. Thus, the value of y is 1.

The student needs to determine the value of y when x is -1 for the equation y = 3x + 4. To find y, we substitute -1 in place of x and solve the equation:

y = 3(-1) + 4

y = -3 + 4

y = 1

Therefore, the value of y for the point (-1, y) is 1.

The sum of two numbers is 66 . the larger number is eight more than the smaller number. what are the numbers?

Answers

Larger number is x. Smaller number is y.

x = 8 + y

y = x - 8

37 + 29 = 66

x = 37

y = 29

(The larger number is 37, and the smaller one is 29).

I hope that helped you! c:

enter the correct word and unit of measurement to complete the conversion
1 nanosecond = one ___
of a __

Answers

By definition,

1 nanosecond = one billionth of a second

In other words, it takes 1 billion nanoseconds to elapse for one whole second to pass by. It's a very small amount of time.

Answer:

1 nanosecond = 1 billionth of a second

Step-by-step explanation:

A nanosecond (ns) is an SI unit of time equal to one billionth of a second, that is, 1⁄1 000 000 000 of a second, or 10^−9 seconds. The term combines the prefix nano- with the basic unit for one-sixtieth of a minute. A nanosecond is equal to 1000 picoseconds or 1⁄1000 microsecond.

Write the expression in algebraic form. [hint: sketch a right triangle.] tan(arcsec(x/3))

Answers

Sketch a right triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x” and assigning angle “a” as the angle between A and H. Using Pythagorean theorem, you will get “square root of x-squared minus 9” as the opposite side (O). Using SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) = x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.

A recipe calls for 1 1/2 cups of flour,but you only have 2/3 of a cup.How much more flour do you need?

Answers

You'd need 5/6

First, make 1 1/2 an Improper fraction:
1 1/2 = 3/2

Next, Subtract:
3/2 - 2/3 = 5/6

Your answer would be 5/6

♡ Hope I helped ♡

Patrick is making 8 pizzas. he has 15 2/3 cups of mozzarella cheese that he wants to divide evenly among the pizzas.

how many cups of cheese should he put on the pizzas?

Answers

Since Patrick has 15 2/3 cups of mozzarella to distribute among 8 pizzas; take 15 2/3 and divide it by 8. 15 2/3 must be converted to a mixed number (take denominator 3 times the whole number 15 = 45 and add the numerator 2 which give you 47/3 (denominator remains the same) so you have 47/3). Take
47/3 and divide it by 8 but you have to convert the division in to multiplication and use the reciprocal of 8 which would be 8 = its reciprocal 1/8. We are now left with 47/3 x 1/8 = 47/24; take 47/24 and simplify by taking 47 divided by 24 and we would have 1 23/24 cups per pizza.

Geometry

The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros of the function?
A) The function has one imaginary zero.
B) The function has one real zero and two imaginary zeros.
C) The function has one real zero and one imaginary zero.
D) The function has one imaginary zero and two real zeros.

Answers

For the graphs, the left one is C), the right one is B) the lines should be dashed.

Dan the detective looked for a number. he found a two-digit number less than 50. the sum of its digits was 12. their different was 4. what number did da find

Answers

you can quickly tell it is 48, that's the only possibility
for numbers that you cannot quickly tell, suppose the one's digit is x, and the tens' digit is y
in this case, x+y=12 and x-y=4.
add the two equation to eliminate y: 2x=16, x=8
y=x-4=4
the number is 48

Tanya planted seedlings in her garden over the weekend. The instructions that came with the seedlings stated that they need to be planted 0.2 meters apart. Tanya has a measuring tape that has values in centimeters. Help Tanya convert meters to centimeters.

Answers

They're is a total of 100 centimeters in 1 meter, so your answer is 20 centimeter

Answer:

20 centimeters apart.

Step-by-step explanation:

Tanya planted seedlings in her garden over the weekend.

The instructions that came with the seedlings stated that they need to be planted 0.2 meters apart.

Tanya has a measuring tape that has values in centimeters.

As we know 1 meter = 100 centimeters

therefore, 0.2 meter = 0.2 × 100 = 20 centimeters

So Tanya need to be planted 20 centimeters apart.

the scale of a map is 1 cm :50 mi. Determine the distance between two cities that are
4.2 cm apart on the map

Answers

To find this, just multiply 50 by 4.2. This means that the cities are 210 miles apart.

Final answer:

The actual distance between two cities that are 4.2 cm apart on a map with a scale of 1 cm : 50 mi is 210 miles. The distance was calculated using a direct proportion based on the map's scale.

Explanation:

To determine the actual distance between two cities that are 4.2 cm apart on a map with a scale of 1 cm : 50 mi, you can use the following method:

First, understand that the scale means for every 1 cm on the map, the actual distance is 50 miles. Therefore, you can set up a direct proportion to solve for the actual distance.

Scale of map: 1 cm : 50 mi
Distance on map: 4.2 cm

Setting up the proportion, we get:

1 cm / 50 mi = 4.2 cm / x mi

Now, solve for 'x' which represents the actual distance between the two cities.

x = (4.2 cm × 50 mi) / 1 cmx = 210 mi

The actual distance between the two cities is 210 miles.

7x+y=13 y=2x-0.5 elim

Answers

I'm assuming you want to solve using elimination so...

7x + y = 13 ---> 7x + y = 13
y = 2x - 0.5 ---> + 2x - y = 0.5
9x = 13.5
/9 /9
x = 1.5

y = 2x - 0.5
y = 2(1.5) - 0.5
y = 3 - 0.5
y = 2.5

Therefore the solution to the linear system is (1.5, 2.5) or (3/2, 5/2)

2m= p-q/r
solve for p

Answers

2m=p-q/r
Add q/r on both sides of the equal sign
2m+q/r=p
Therefore...
p=2m+q/r

Answer: The required solution for p is [tex]p=2mr+q.[/tex]

Step-by-step explanation: We are given to solve the following equation for the variable p :

[tex]2m=\dfrac{p-q}{r}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given equation for p, we must take p on one side of the equation and all other terms on the other side.

From equation (i), we get

[tex]2m=\dfrac{p-q}{r}\\\\\Rightarrow 2mr=p-q~~~~~~~~~~~~~~[\textup{Cross-multiplication}]\\\\\Rightarrow p=2mr+q.[/tex]

Thus, the required solution for p is [tex]p=2mr+q.[/tex]

Mark earns $400 a week plus 5% commission on all sales. Which inequality represents s, what mark's sales must be in order for him to earn at least $700 for the week?

Answers

what are the anwsers

Which decimal number is equal to 2/3 ?

A. 0.6
B. 0.66
C. 0.6
D. 0.67

Answers

The answer should be B.

Decimal number equal to 2/3 is 0.67.

What is a Decimal and fractional Numbers?

Decimal numbers include those numbers which have a whole number and the fractional part separated by a decimal point. Example -

2.33, 4.55, 5.6

A common fraction is a numeral which represents a rational number. That same number can also be represented as a decimal, a percent, or with a negative exponent. Example -

2/5, 5/6, 7/9

We have a fraction 2/3.

The decimal number equal to 2/3 is 0.67.

Hence, decimal number equal to 2/3 is 0.67.

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iana started to evaluate the function f(x) = 2x2 – 3x + 7 for the input value 2.

f(x) = 2(2)2 – 3(2) + 7

= 2(4) – 3(2) + 7

What is the value of the function when x = 2?

9
10
16
17

Answers

The answer is nine because 2(4)=8 3(2)=6 7=7, os 8-6+7= 2+7 =9

Answer:

f(2) = 9.

Step-by-step explanation:

Given : f(x) = 2x² – 3x + 7.

To find : What is the value of the function when x = 2.

Solution : We have given that f(x) = 2x² – 3x + 7.

For, x = 2

f(2) = 2(2)² – 3(2) + 7.

f(2) = 2 *4 -6 +7

f(2) = 8 - 6 +7.

f(2) = 2 +7

f(2) = 9.

Therefore, f(2) = 9.

Please help me with these !!! ❤️❤️ I need it thank youuu!

Answers

For number 4, we'll need a few facts to answer our question:

- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°

Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is supplementary to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.

Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.

We have:

[tex]x+x+24=180[/tex], or [tex]2x+24=180[/tex]

Solving for x:

[tex](2x+24)-24=180-24\\2x=156\\(2x)/2=(156)/2\\x=78[/tex]

So, x = 78°.

For question 5, the definition of a pair of parallel lines is a pair of lines which never intersect, so "always" would be the appropriate answer.

Need help asap

What are the steps for using a compass and straightedge to construct the bisector of ∠G?

Drag the steps and drop them in order from start to finish.

A. Use the straightedge to draw GK−→−.
B. Place the point of the compass on point H and draw an arc in the interior of the angle.
C. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G. Label the points of intersection as points H and J.
D. Without changing the opening of the compass, place the point of the compass on point J and draw another arc in the interior of the angle.
E. Label the intersection of the arcs in the interior of the angle as point K.

Answers

The order of the steps would be C, B, D, E, A.

You need to create an arc that intersects the angle. That is providing the equal sections for the bisections. Where the arcs intersect in E is the midpoint between the two rays. GK is the bisector of the angle.

Answer:

C, B, D, E, A.

Step-by-step explanation:

Determine whether the lines l1 and l2 are parallel perpendicular or neither

Answers

I cannot exactly answer this question because no illustration was given to refer to. However, I can help by defining what parallel and perpendicular lines are. Lines l1 and l2 are parallel, if they do not meet at any point when you extend the line infinitely at both sides. They are perpendicular if they form right angles with each other.

Final answer:

The lines l1 and l2 are perpendicular to each other. They form a 270° angle which means they form three right angles. Hence they are indeed perpendicular due to the fact they intersect at a point if one line is extended by 180°.

Explanation:

In this case, we are asked to determine if the lines l1 and l2 are parallel, perpendicular or neither. One critical information presented is that the two lines are perpendicular and form a 270° angle between each other.

Typically, when two lines are perpendicular, they form a right angle, which is 90°. However, a 270° angle suggests they make three right angles, meaning they do not directly intersect at a right angle, but do meet at a point if you extend one line 180° further. Hence, they are indeed perpendicular.

So, although it might seem a bit unusual, based on this information, the lines l1 and l2 are perpendicular to each other.

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una aproximacion por truncamiento del numero 4,56789 es 4,56 .hallar el error absoluto y el error relativo

Answers

Seeing that 4,56789 has 6 digits;

4,56 only has 3 digits

uncertainty of 4.56789 is 0.00001
uncertainty of 4.56 is 0.01

0.00001/4,56789= 0.000002189
0.01/4.56=0.002189

Absolute error of 4.56 is 0.01, relative error is 0.002189

Hope I helped :)

.6 divded by 3.66 show work

Answers

0.1639

.6 / 3.66 , just divide it

0.16393442623 tha should be it

The sum of two numbers is 30 the difference of the two numbers is 4 what is the lesser number?

Answers

13 is the lesser number because 13+17=30 and the difference between the two numbers is 4 so it has to be 13☺

The lesser number is 13 and the bigger number is 17.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The sum of two numbers is 30 the difference between the two numbers is 4. Let the number be x and y where x > y. Then the equations will be

x + y = 30 ...1

x - y = 4 ...2

Add both equations, then we have

2x = 34

x = 17

Then the other number will be

17 + y = 30

y = 30 - 17

y = 13

The lesser number is 13 and the bigger number is 17.

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