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3 years ago

Lamar drinks 0.55 L of milk everyday. How much milk does he drink in 5 days? Write your answer in milliliters

Mathematics

1 answer:

katen-ka-za [31]3 years ago

6 0

Answer:

2750 milliliters

Step-by-step explanation:

Let's start by changing the unit of measurement from liters (L) to milliliters (mL), since milliliters is the form in which you are giving your answer. Doing this tells us Lamar drinks 550 mL of milk every day. Since you need to find out how much milk he drinks in 5 days, just multiply the first answer by 5, so 550 x 5. This gives us 2750 mL.

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Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

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For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$