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Grace [21]
3 years ago
6

2. A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and a 4% acid solution. How many liters

of each solution should the chemist use? Write your answer as a complete sentence Be sure to: (a) Define your variable and expressions for the quantities. (b) Write an equation that models the problem. (c) Solve the equation. (d) State the answer in a complete sentence Please help and explain
Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
( * = multiplication/multiply/times ) 
Let x - liters of 10% acid solution needed
4-x = liters of 4% acid solution needed

.1x + .04*(4-x)
-------------------- = .07
           4

.1x + .04*(4-x) = 4*.07
.1x + .16 - .04x = .28
.06x = .12
x=2
4-x=2

2 liters of 10% acid solution are needed
2 liters of 4% acid solution are needed

If you're still uncertain, we can check our work as so: 

.1x + .04*(4-x)
--------------------- = .07
            4

.1 * 2 + .04 * (4-2)
------------------------ = .07
             4

.2 + .08
------------ = .07
     4

.28 = .07 * 4
.28 = .28 

Hope I helped. 
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The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with
NISA [10]

Answer:

a) 0.125

b) 7

c) 0.875 hr

d) 1 hr

e) 0.875

Step-by-step explanation:l

Given:

Arrival rate, λ = 7

Service rate, μ = 8

a) probability that no requests for assistance are in the system (system is idle).

Let's first find p.

a) ρ = λ/μ

\frac{7}{8} = 0.875

Probability that the system is idle =

1 - p

= 1 - 0.875

=0.125

probability that no requests for assistance are in the system is 0.125

b) average number of requests that will be waiting for service will be given as:

λ/(μ - λ)

= \frac{7}{8 - 7}

= 7

(c) Average time in minutes before service

= λ/[μ(μ - λ)]

= \frac{7}{8(8 - 7)}

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

= \frac{1}{(8 - 7)}

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

{7}{8}

= 0.875

5 0
3 years ago
how do i solve this. show all steps plz. this due very soon. help asap no idea what to do. ➡️MAKE SURE TO SHOW ALL STEPS!!!⬅️
noname [10]
First, subtract 14 from 153.80 to get the ticket prices alone. You would get 139.8

Then, since they’re buying 4 tickets, you divide 139.8 by four to get the individual ticket pricing,
meaning your final answer would be $34.95

153.80=4x+14 ⬅️ y-int form if you need that to solve
3 0
3 years ago
25 Points:PLEASE HELP ASAP
alekssr [168]

Answer:

I am sorry, what is your question? What do you <em>have </em>a question on?

8 0
2 years ago
What is 8 diveded by 3
Sophie [7]

Answer:

2.66666666667

Step-by-step explanation:

2.6666666667x3=8

5 0
3 years ago
Which of the following fractions describe the portion of the math books that weigh 2 1/8 pounds? Select all that apply.​
VARVARA [1.3K]

Answer:

2 /10

Step-by-step explanation:

The portion of the book that weight 2 1/8

Total number of books = 10

Number of books that weight 2 1/8 = 2

Fraction of book that weigh 2 1/8 = number of books that weigh 2 1/8 / total number of books

Fraction = 2 / 10

3 0
3 years ago
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