Use your knowledge of insulators and conductors to explain why

1 answer:

6 0

Cooking pots are made of metal because metals are good conductors of heat. Plastic is an insulator that is slow at conducting heat. That is why an insulator is used so that we don't burn ourselves.

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Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water. PART A: Write an equati

Lelechka [254]

Part A:
there is 60% of lemon juice in a 1 liter of water
so 60% *OF* the 1 liter
( of technically means * in mathematics)
so
60% * 1 liter
or 0.6 * 1 liter
Now to find the total number of liters of lemon juice and water in the bottle
(0.6*1)+x= 1
(x being the amount of water)

Part B: We can calculate the number of liters of lemon juice that are present in the bottle
60% * 1
0.6 * 1
that is 0.6
So there is 0.6 liters of lemon juice in the bottle

Hope this helps :)

6 0

3 years ago

Can someone. help me solve this pls .

olchik [2.2K]

Answer:

1.108

$729 = {n}^{6} \\ \sqrt[6]{729} = \sqrt[6]{ {n}^{6} } \\ n = 1.108$

7 0

3 years ago

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

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

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

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