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Lyrx [107]
3 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]3 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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muminat
Please, enclose those binomials x+4 and y+7 inside parentheses:

(x+4) / 4 = (y+7) / 7.  Find (x/4).

Let's solve the above equation for x:

x+4 = 4(y+7)/7.  Then x = 4(y+7) / 7   -   4

Last, divide all 3 terms by 4:            x/4 = (y+7) / 7 - 1   (answer)
                                                         
                                                      y + 7 - 7
You could also type this as x/4 = ------------- = y/7
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4 0
3 years ago
Divide 56 in the ratio 5 3
bogdanovich [222]
I don't understand what you need.

But,

5 + 3 = 8

56/8 = 7

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Hope this helps !

Photon
6 0
3 years ago
Read 2 more answers
Solve each equation.<br> 7) 18 =-2+a<br> 8) -7= m - 12<br> 9) -8(7 + 7n)=-336<br> 10) -140=-7(-4+36)
lesya692 [45]

Answer:

7) a= 20

8) m= 5

9)n = 5

10) b = 8

Step-by-step explanation:

7) 18+2=-2+2+a

>> 20 = a >> a = 20

18 + 2 = 20 so that isolates the variable leaving a = 20

8) -7+12 = m -12+12

>>> 5 = m >> m = 5

-7 + 12 = 5 so that again isolates the variable leaving m = 5

9) <u>-8(7</u> + <u>7n</u>) = -336

>> -56+56 + -56n = -336+56

>>> -56n/-56 = -280/-56

>>>> n = 5

use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.

10) -140 = <u>-7(-4 </u>+ <u>3b)</u>

>>  -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)

>>>  -168/-21 = -21b /-21

>>>> 8 = b >> b =8

Hope it helps!

5 0
3 years ago
Which statement correctly compares the mean number of students for the data in the plots?
satela [25.4K]

Answer:

<em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

Step-by-step explanation:

We need to compute the mean for each.

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Lets list the numbers

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<u>Oak Middle School:</u>

The numbers are:

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We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - <em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

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Answer: y = (x - 8)² - 47 (Answer D)
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8 0
3 years ago
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