A solution of salt and water contains 75 grams of water per 150 milliliters of the solution. If 1 mole of water weighs 16 grams, _____ moles of water would be present in 30 milliliters of the solution. [Round off your answer to two decimal places]
i got .94
\[\frac{ 75 \cancel{\text{ g H}_2 \text{O}} }{ 150 \cancel{\text{ ml sol'n} }}\cdot \frac{ 1 \text{ mol of H}_2 \text{O}}{ 16 \cancel{\text{ g H}_2 \text{O} }}\cdot 30 \cancel{\text{ ml sol'n}}\]
=30/32 = .9375 mol = .94 mol. good job!
can you help with one more
Which table best represents the steps to solve the equation 8 + x over 3 = 4? Step Justification Step 1: x over 3 = 4 + 8 The same number +8 can be added to both sides of the equation Step 2: x over 3 = 12 Adding 8 and 4 on the right hand side Step 3: x = 12 • 3 The same number 3 can be multiplied on both sides of the equation Step 4: x = 36 Multiplying 12 and 3 on the right hand side Step Justification Step 1: x over 3 = 4 - 8 The same number -8 can be added to both sides of the equation Step 2: x over 3 = -4 Adding -8 and 4 on the right hand side Step 3: x = -4 • 3 The same number 3 can be multiplied on both sides of the equation Step 4: x = -12 Multiplying -4 and 3 on the right hand side Step Justification Step 1: x over 3 = 4 - 8 The same number - 8 can be added to both sides of the equation Step 2: x over 3 = -4 Adding 4 and -8 on the right hand side tep 3: x = - 4 - 3 The same number 3 can be subtracted from both sides of the equation Step 4: x = -7 Simplifying -4 -3 Step Justification Step 1: x over 3 = -4 - 8 The same number -8 can be added to both sides of the equation Step 2: x over 3 = -4 Adding -8 and 4 on the right hand side Step 3: x = -4 ÷ 3 The same number 3 can be divided on both sides of the equation Step 4: x = -1.33 Dividing -4 by 3 on the right hand side
which do you think it is?
i don't know.
write out the equation, solve it, check it and then see which matches. that's what i did.
\(8+\frac{x}{3}=4\)
okay i don't know how, that is why i need help.
to solve this, what's the first step?
subtract ?
subtract what?
the 4 and 8
and why?
because whatever you do to one side you have to do the other.
yes, but the goal here is to isolate the term with the x in it. as such, you subtract 8 from both sides. does that make sense?
yes
so what is the new equation?
x=-4
no, \(\frac{x}{3}=-4\)
yeah
the i divide?
then *
no you multiply.
and get 12
Join our real-time social learning platform and learn together with your friends!