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igomit [66]
3 years ago
10

The chemist mixes 3 ML of limestone for every 5 L of water. if she uses 35 L of water how much limestone should she use?

Mathematics
1 answer:
lord [1]3 years ago
7 0
To find the amount of limestone to add, you will set up a proportion of the amount of limestone to the amount of water.

<u>Limestone</u>    <u>3 ml</u> x <u>7 </u>    <u>x</u>
Water           5 L  x 7    35 L

To solve for x, multiply 3 and 7 to get 21.

The chemist will need 21 milliliters of limestone.
You might be interested in
What is the sum if the first 22 terms of the following series? 86 + 79 + 72 + 65 +58+...
Arturiano [62]
Seems to be an arythmetic sequence
Sn=[n(a1+an)]/2
where
Sn means sum of all terms up the nth term
n=number of terms
a1=first term
an=nth term

so from 86 to the 22th term is from a1 to a22

find teh sequence
miknus 7 each time
an=a1+d(n-1)
an=87-7(n-1)
find 22n term
a22=87-7(22-1)
a22=87-7(21)
a22=87-147
a22=-60

S22=[22(87-60)]/2
S22=[22(27)]/2
S22=594/2
S22=297

the sum is 297

5 0
3 years ago
Solve the equation. Identify any extraneous solutions
Lelu [443]
Squaring both sides of the given equation:  w^2=7w, or w^2-7w=0.  

w^2-7w=0 can be factored:  w(w-7)=0.  Then, w=7 or w=0.  Both 0 and 7 are solutions of this equation.
4 0
3 years ago
5x+20y=4<br> x=-4y+1<br><br> Solve for x/y
Andrews [41]

Hi there!


Looks like a lot of work is going on here.


Let's start by solving this equation for the x.


5x + 20y = 4


Step 1) Add -20y to both sides.


5x + 20y + - 20y = 4 - 20y 5x = -20y + 4


Step 2) Divide both sides by 5.


\frac{5x}{5}  = \frac{-20y + 4}{5}


x = -4y +  \frac{4}{5}


Final Answer:


x = -4y +  \frac{4}{5}


Now, let's solve for y.


Step 1) Add -5x to both sides.


5x + 20y + - 5x = 4 + - 5x 20y = -5x + 4


Step 2) Divide both sides by 20.


\frac{20y}{20} =  \frac{-5x + 4}{20}


y =  \frac{-1}{4} x +  \frac{1}{5}


Final Answer:


y =  \frac{-1}{4} x +  \frac{1}{5}


Hope this helps! :D


Hint - When you have two variables in an equation, and you want to solve for one, the other will end up in your answer. :)

6 0
3 years ago
What percent is equivalent to 7/20
expeople1 [14]
35%
divide whatever number you get move the decimal two spaces to the right and that is the percent.
4 0
3 years ago
Which expression is equivalent to cot t sec t?
Solnce55 [7]

Answer: csc(t)

Step-by-step explanation:

Alright, lets get started.

The given expression is given as :

cot( t) \times sec (t)

We know quotient identity as :

cot(t)=\frac{cos(t)}{sin(t)}

Similarly, we know reciprocal identity as :

sec(t)=\frac{1}{cos(t)}

lets plug the value of cot and sec in given expression

\frac{cos(t)}{sin(t)}  \times \frac{1}{cos(t)}

cos will be cancelled, remaining will be

\frac{1}{sin(t)}

Using reciprocal identity again, that will equal to :

csc(t)  ................... Answer (A)

8 0
3 years ago
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