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son4ous [18]
3 years ago
7

Oliver works at a bookstore.He packed 20 identical paperbacks and 9 identical textbooks in a box. The total mass of the books wa

s 44.4 pounds. After he put 1 more textbook and 5 more paperbacks in the box, the total mass of the books was 51 pounds.
Write a system of equations that can used to determine p, the mass, in pounds, of one paperback, and t, the mass, in pounds of one textbook.
Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0
In the problem, the first equation should be represented like this base on the variable given in the problem:

20p + 9t = 44.4

with that equation, the second equation would is given by this formula, in response with the additional number of paperback and textbook

21p + 14t = 51

to get the system equation in getting the mass of each variable, you should subtract the two equation to simplified the formula.

   20p + 9t = 44.4
 - 21p + 14t = 51
-------------------------
p + 5t = 6.6 // this is the system equation that could be use in getting the mass of each object
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Hey there :)

Now lets name each house

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500ft <-> 500ft <-> 500ft <-> 500ft <-> 500ft   <->   2000ft

Let's say the bus stops at A
= 0 ( from A ) + 500 ( from B ) +  500 + 500 ( from C ) + 500 + 500 + 500 ( from D ) + 500 + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 500 + 2000 ( from F )
= 0 + 500 + 1000 + 1500 + 2000 + 4000
= 9000 ft

at B
= 500 ( from A ) + 0 ( from B ) + 500 ( from C ) + 500 + 500 ( from D ) + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 2000 ( from F )
= 500 + 0 + 500 + 1000 + 1500 + 3500
= 7000 ft

at C
= 500 ( from A ) + 500 + 500 ( from B ) + 0 ( from C ) + 500 ( from D ) + 500 + 500 ( from E ) + 500 + 500 + 2000 ( from F )
= 500 + 1000 + 0 + 500 + 1000 + 3000
= 6000 ft

Do the same for D ,  E  and F

at D
= 6000 ft

at E 
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at F
= 15000 ft

You will find that the bus should stop at either C or D to make the sum of distances from every house to the stop as small as possible. 
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Step-by-step explanation:

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You are remodeling your kitchen. You've contacted two tiling companies who gladly told you how long it took their workers to til
Ray Of Light [21]
The answer is 7x = 6(x + 15)

x - Jim's rate
y - Pete's rate
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