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
AURORKA [14]
4 years ago
5

One antifreeze solution is 31% alcohol and another is 15% alcohol. How much of each mixture should be added to make 28 L a solut

ion that is 27% alcohol ?
Mathematics
1 answer:
USPshnik [31]4 years ago
7 0

Let

<em>x</em> = volume of the 31% solution

<em>y</em> = volume of the 15% solution

We want a solution with a total volume of 28 L, so

<em>x</em> + <em>y</em> = 28

For each liter of either solution, there is a contribution of 0.31 L and 0.15 L of alcohol, respectively. In the resulting solution, we want a concentration of 27% alcohol, which comes out to 0.27 * 28 L = 7.56 L. So

0.31 <em>x</em> + 0.15 <em>y</em> = 7.56

The first equation says

<em>y</em> = 28 - <em>x</em>

Substitute this into the second equation and solve for <em>x</em>, then for <em>y </em>:

0.31 <em>x</em> + 0.15 (28 - <em>x</em>) = 7.56

0.31 <em>x</em> + 4.2 - 0.15 <em>x</em> = 7.56

0.16 <em>x</em> = 3.36

<em>x </em>= 21

<em>y</em> = 28 - <em>x</em>

<em>y</em> = 7

You might be interested in
What is thirty-four and twelve hundredths as a decimal number?
Korolek [52]

Answer:

34.12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the measure of the central angle of a sector of the sector has a radius of 3cm and an area of 63/8 pi cm^2
Komok [63]

Answer:

Ans=0=315⁰

Step-by-step explanation:

Hope this helps :)

4 0
2 years ago
Factor out the coefficient of the variable 5/6s+2/3
DochEvi [55]
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?

5/6 ( )

so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have

5/6 ( s )

but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?

5/6 ( s + (2/3) / (5/6) )

now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.

2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15

we can reduce 12/15 by dividing the top and bottom by three.

= 4/5

so our final answer would be:

5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
6 0
3 years ago
A brand new filled jar of jam is 10 cm tall and has a radius of 5 cm. Ann's family eats some of the jam one weekend and now the
weqwewe [10]
<span>Volume   =   </span><span>π <span>• r² • height
Volume = PI * 5^2 * 10
</span></span>
<span> <span> <span> Volume = 785.</span>4 cm^3
</span></span>
<span>Volume = PI * 5^2 * 4

</span> <span><span><span>Volume = 314.</span>2 cm^3

</span>Jam consumed = </span><span>785.4 cm^3 -314.2 cm^3</span>
Jam consumed = <span> <span> <span> 471.2 cm^3
answer is C

</span></span></span>
8 0
3 years ago
Read 2 more answers
Twenty-five students reported how many email accounts they have. The dot plot below shows the data collected:
Marysya12 [62]

Answer:

5 Students with 3 Emails.

Step-by-step explanation:

+        
+        
+      +
+      +       +
+      +       +
+      +       +      +
+      +       +      +      +
+      +       +      +      +       +

1       2      3      4      5      6

6 0
2 years ago
Other questions:
  • Is 36 yards and 2 feet greater than 114 feet and 2 inches
    7·2 answers
  • Please help I will mark you brainlist if correct
    6·2 answers
  • What is 2/9 divided by 3/4?
    15·1 answer
  • Eight rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other ro
    14·1 answer
  • What does -7.8x+1.56 equal?
    14·1 answer
  • Is 8x – 3y = 6 – 4x a linear equation
    5·2 answers
  • Find the area of a triangle with base = 12 inches and height = 14 inches
    11·2 answers
  • Which is the solution set for 2x + 10 &lt; 40
    5·1 answer
  • What are Similarities and differences between Inequality Notation, Set Builder Notation, and Interval Notation
    15·1 answer
  • Please help !!! I will give 20 points to the correct answer!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!