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DanielleElmas [232]
3 years ago
14

Building a is 190 feet shorter than building

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
We will solve this using a system of equations.  The first part tells us that building a is 190 feet shorter than building b.  Our first equation, then, is b=190+a.  The second part tells us that the addition of the two buildings' heights is 1480.  So our second equation is a + b = 1480.  The first equation is already solved for b, so let's sub that value into the second equation for b: a+(190+a)=1480.  2a + 190 = 1480 and 2a = 1290.  That means that building a is 645 feet tall.  Building b is 190 feet taller, so b = 190 + 645, which is 835.
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Find the sum of the first 90 terms of the sequence -4,-1,2,5,8
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\large\underline{\sf{Solution-}}

\sf  \longmapsto x + y = 7 \: \: - - - (i)

\sf  \longmapsto 3x - 2y = 11 \: \: - - - (ii)

<u>By first equation,</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x = 7 - y

<u>Now, we can find the original value of y.</u>

\sf \longmapsto 3x - 2y = 11

\sf  \longmapsto 3(7 - y) - 2y = 11

\sf  \longmapsto 21 - 3y - 2y = 11

\sf  \longmapsto 21 - 5y = 11

\sf  \longmapsto - 5y = 11 - 21

\sf  \longmapsto - 5y =  - 10

\sf  \longmapsto y = \dfrac{ - 10}{ - 5}

\sf  \longmapsto y = 2

<u>Now, we can find the original value of x.</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x + 2 = 7

\sf  \longmapsto x = 7 - 2

\sf  \longmapsto x = 5

Therefore, the values of x and y are 5 and 2 respectively.

8 0
2 years ago
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