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alina1380 [7]
3 years ago
10

By United States cultural standards, it has been determined that 6 people live comfortably in 1500 square feet of living space.

Based on this standard, how many square feet would be needed to comfortably house 200 people? Enter the number only.
Mathematics
2 answers:
Nimfa-mama [501]3 years ago
7 0

Answer:

50,000

Step-by-step explanation:

Set up a proportion:

6/1500 = 200/x

Cross multiply and solve for x:

200x1500 = 6x

300000 = 6x

50000 = x

posledela3 years ago
6 0

Answer:

50000

Step-by-step explanation:

Find the "unit rate" for occupancy:  

1500 ft²

------------- = 250 ft²/person

6 people

Now multiply this unit rate by 200 people.  "people" drops out, and you are left with

250 ft²

--------------- * 200 people = 50,000 ft²

1 person

Enter 50000.  200 people will need 50000 ft² of housing.

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Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca
arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x   ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

5 0
3 years ago
Spiral Review
Svetllana [295]

Answer:

Your answer is C

Step-by-step explanation:

0.5 = Five tenths

and

0.05 = five hundredths

This is because 0.5 is like 50 cents and 0.05 is like 5 cents

The rest are wrong because A: 0.05 simply can't be bigger than 0.5

B is wrong because they aren't equal to each other

and D is wrong because 0.05 + 0.5 = 0.55

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3 0
3 years ago
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Use the following equation to answer the questions below:
Lina20 [59]

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...

8 0
2 years ago
How many solutions exist for the given equation? 3x 13 = 3(x 6) 1 zero one two infinitely many
romanna [79]

An equation is formed of two equal expressions. There is no solution set of the equation 3x+13 = 3(x+6)+1.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be solved in the following manner,

3x+13 = 3(x+6)+1\\3x+13=3x+18+1\\3x+13=3x+19

Since both the sides of the equation are the same in terms of variable and the constant terms are not the same. Therefore, there is no solution set of the equation 3x+13 = 3(x+6)+1.

Learn more about Equation:

brainly.com/question/2263981

8 0
2 years ago
-2x(6x^4 -7x^2 +x-5 in standard form pls
LuckyWell [14K]

Answer:

-12x^5 + 14x^3 -2x^2 + 10x

Step-by-step explanation:

-2x(6x^4 -7x^2 +x-5) =

-12x^5 + 14x^3 -2x^2 + 10x

8 0
3 years ago
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