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
babymother [125]
3 years ago
11

How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces

You might be interested in
How can I make an equation that equals 74 with using the digits/numbers 1 2 3 4 and 0 once and only once in the equation. Every
nexus9112 [7]

Answer:

A mathematical equation is an equation with zero or one variables (e.g., 9 = 6 + 3; 9 = x + 3), whereas an algebraic equation

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Three functions are given below: f(x), g(x), and h(x). Find the axis of symmetry for each function, and rank the functions based
m_a_m_a [10]

Answer:

Step-by-step explanation:

f(x)=-4(x-2)²+3

put x-2=0

axis of symmetry is x=2

g(x)=-2(x²+8x)+15

=-2(x²+8x+4²-4²)+15

=-2(x+4)²+32+15

=-2(x+4)²+47

put x+4=0

axis of symmetry is x=-4

h(x) is minimum at x=1

axis of symmetry is x=1

3 0
3 years ago
A swimming class has 20 students. Only 8 students know how to dive off
Allisa [31]

Answer: 40%  

Step-by-step explanation:

To write 8/20 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 8/20 * 100 = 0.4 * 100 = 40% And finally we have: 8/20 as a percent equals 40%

6 0
3 years ago
Jessie finish the first race in two minutes and seven seconds 10 finish 12 seconds faster than Jesse one finished eight seconds
Mandarinka [93]
20 seconds faster than Jesse so one minute and 57 seconds is my best guess.
3 0
3 years ago
Express in simplest radical form.<br> \frac{\sqrt{96}}{2}
Gelneren [198K]

Answer:

\frac{ \sqrt{96} }{2}  =  \frac{ \sqrt{16 \times 6} }{2}  =  \frac{4\sqrt{6} }{2}  = \boxed{2 \sqrt{6}}\\

<h3><em><u>2√6</u></em> is the right answer.</h3>
8 0
3 years ago
Other questions:
  • if your car gets 34 miles per gallon of gas and you have traveled 153 miles, how many gallons of gas have you used?
    12·2 answers
  • Shirts were sold in 3 sizes-small,meduim and large.1/3of the shirt are small sized.1/3 of the fraction are large sized.What is t
    6·1 answer
  • Which of these is a formal definition in
    15·1 answer
  • A tree grows 9.25 inches per year. If the tree continues to grow at this rate, how much will the tree grow in 3.75 year.
    5·1 answer
  • 2x2-6x-8=0 by factoring
    6·1 answer
  • EF=4x-15,FG=5x+7 and EG=46 find the value of EF
    6·1 answer
  • Please answer the question in the picturee
    7·1 answer
  • Please help I don't know how to solve also can you explain<br>​
    7·1 answer
  • Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)
    15·1 answer
  • Show ur work and check it
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!