1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lapo4ka [179]
3 years ago
15

How many ounces of a 35% alcohol solution must be mixed with 10ounces of 40% alcohol solution to make a 37% alcohol solution?

Mathematics
1 answer:
spayn [35]3 years ago
5 0
First off, let's change the format of the percentage to decimal.. so 35% is just 35/100 or 0.35 and 40% is 40/100 or 0.4 and so on.

\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{35\% sol'n}&x&0.35&0.35x\\
\textit{40\% sol'n}&10&0.40&4.00\\
-----&-----&-------&-------\\
mixture&y&0.37&0.37y
\end{array}

now, whatever "x" amount is, we know that x + 10 must add up to "y". x + 10 =  y, because both quantities added will give the mixture amount.

and whatever 0.35x + 4 = 0.37y, because both concentrated amounts must give the 37% of the mixture.

\bf \begin{cases}
x+10=\boxed{y}\\
0.35x+4=0.37y\\
----------\\
0.35x+4=0.37\left( \boxed{x+10} \right)
\end{cases}

solve for "x", to see how much of the 35% solution will be needed.

what about "y"? well, x + 10 = y.
You might be interested in
Need all of them for Transformation Quadratics
postnew [5]

uduusidir93irisufffdhhdjdf

6 0
3 years ago
Maisha has 3(x+2) hours reading a book 8x-5 hours sleeping and 2x hours playing.How many hours did she spend in all of these act
Mandarinka [93]
Add all the activities together

=3(x+2) + (8x-5) + 2x
multiply 3 by all in parentheses
=(3*x) + (3*2) + (8x-5) + 2x
=3x + 6 + 8x - 5 + 2x
combine like terms
=(3x + 8x + 2x) + (6 - 5)
=13x + 1

ANSWER: 13x + 1

Hope this helps! :)
6 0
3 years ago
A number increased by 100% and decreased by 20% is x. what is the number ? NEEDED TODAY
vodka [1.7K]

Answer:

Let's assume the number be 100.

According to the problem , 100 is increased by 100%.

So, new number will be 100+100=200

Now 200 will decreased by 20%.

So, 20% of 200= 0.20*200= 40.

So, again the number has been changed into 200+40=240.

So, x=240

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Lines K and N are perpendicular If the slope of line K is -6, what is the slope of Line N
djverab [1.8K]

line N has slope m = \frac{1}{6}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}


thus line N has slope - \frac{1}{- 6} = \frac{1}{6}


6 0
3 years ago
Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38
Natasha2012 [34]

Answer:

Option C: 38 is p more than 25

Step-by-step explanation:

the equation 25 + p = 38

can be read as 38 is 25 plus p units, or similarly ;

38 is p units more than 25.

Therefore from the three sentences you are showing, only the last one (option C) is the correct one.

4 0
3 years ago
Other questions:
  • Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do
    8·1 answer
  • Write the first 4 terms for this sequence t(n)=4.5n-8
    12·2 answers
  • Decimals- do i move the decimal when adding or multiplying
    12·1 answer
  • Julie and Jenna are selling bracelets that they made at a craft store. They are hoping to sell 200 bracelets. If Julie can make
    8·2 answers
  • Find an equation for the line in standard form containing the points (9,-1) and (-8,1)
    10·1 answer
  • The area of the triangle is given by the functions area of triangle A:x2 + x area of triangle B: x2 - 3x which functions represe
    15·2 answers
  • The number of cable TV systems recently decreased from 14,200 to 14,025. Find percent decrease
    12·1 answer
  • 15 POINTS FOR ANSWER: Complete the table with equivalent ratios. Then, write them as ordered pairs. (Write them in the text box
    5·2 answers
  • What expression is equivalent to 9(9m + 3t)?
    9·2 answers
  • 2(x-4)=6x+4 solve plz
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!