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Lyrx [107]
2 years ago
14

The observatory in the John Hancock Center in Chicago is located in the top floor, 900 feet above the ground. The express elevat

or travels nonstop from the ground floor to the observatory on the top floor at a rate represented by the equation y=30x, where y is the height, in feet, and x is the number of seconds.
Mathematics
1 answer:
Sedaia [141]2 years ago
6 0

Answer:

Step-by-step explanation:

Given the rate at which the elevator travels modeled by the expression;

y = 30x where y is the height, in feet, and x is the number of seconds.

If the observatory in the John Hancock Center in Chicago is located in the top floor, 900 feet above the ground, we can calculate the time taken to reach the top floor by substituting y = 900 into the equation and solve for x as shown;

y = 30x

900 = 30x

Rearrange

30x = 900

Divide both sides by 30

30x/30 = 900/30

x = 30

Hence it takes 30seconds for the elevator to reach the top floor

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Answer:

there will be 19 $100 bills

and 11 $10 bills

Step-by-step explanation:

100*19=1900\\10*11=110\\1900+110=2010

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3 years ago
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Ugo [173]

Assuming the equation is:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)


When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.


Here the denominators are 2 and 10, hence the LCM is 10.


Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:

10\frac{x}{2}-10\frac{10x-25}{10}=10*3(x+3)-10(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

5x-(10x-25)=30(x+3)-10(x-14)

Now, distribute, i.e. remove parentheses and distribute:

5x-10x+25=30x+90-10x+140

Simplify

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transpose terms

25-230=20x+5x

solve

x=-205/25=-41/5


In this particular case, we can also take advantage of the term

(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.

If we do that, the solution will be:

Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

2\frac{x}{2}-2\frac{2x-5}{2}=2*3(x+3)-2(x-14)

x-(2x-5)=6(x+3)-2(x-14)

Now, distribute, i.e. remove parentheses and distribute:

x-2x+5=6x+18-2x+28

Simplify

-x+5=4x+46

solve

5-46=4x+x

-41=5x

x=-41/5

with the same results.

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3 years ago
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48.04
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Answer:

29 for the skis and

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Step-by-step explanation:

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478÷19

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Answer:

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