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
Fudgin [204]
3 years ago
15

Jamie has 100 milliliters of a 50% isopropyl alcohol solution. How many milliliters of a 96% isopropyl alcohol solution does she

need to add to
this in order to obtain a 85% isopropyl alcohol solution?
Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:

318.2 ml

Step-by-step explanation:

Jamie has 100 ml of a 50% isopropyl alcohol solution.

She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.

Let the amount of 96% solution required = x ml

Final amount of 85% isopropyl alcohol solution = (100 + x) ml

Therefore, equation for this situation will be,

100 × (50%) + (x) × (96%) = (100 + x) × (85%)

100(0.5) + 0.96x = 0.85(100 + x)

50 + 0.96x = 85 + 0.85x

0.96x - 0.85x = 85 - 50

0.11x = 35

x = \frac{35}{0.11}

x = 318.18 ml

  ≈ 318.2 ml

Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.

You might be interested in
Round 715 to the nearest the ten
Mariana [72]
Here's a good rhyming rule to keep in mind.

Zero to four, you get no more.

Five to nine, move up one time.

With this rule you can see that there is a 5 at the end, therefor you should round up. Your number is 720.
8 0
4 years ago
Read 2 more answers
3. Give the slope and y-intercept of the<br> relationship shown in the table.
kolezko [41]

Answer:

B

Step-by-step explanation:

Since the slope is going down the slope is negative and since 50 is positive when 0 its positive.

Also to find slope you do y/x

25/100=1/4 and since its a decreasing pattern the slope is -1/4

4 0
4 years ago
I have to find an equation for a table​
Anna35 [415]

Let's say imput is i and that output is o.

The formula is 2 ^ i = o

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

Notice how the numbers match?

Hope this helped :)

8 0
3 years ago
QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get po
const2013 [10]

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

  • The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
  • The sequence of the information is a geometric sequence

<h3>How is the given information expressed as a sequence?</h3>

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

  • R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

  • The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2

Learn more about geometric sequence here:

brainly.com/question/4289731

brainly.com/question/1532378

8 0
2 years ago
(cosxtanx-tanx+2cosx-2)/tanx+2=cosx-1<br> can someone show me how to prove this?
uysha [10]

Answer:

See detail below.

Step-by-step explanation:

A word of caution before getting to the actual problem: I believe there is an important set of brackets missing in the original post. The expression on the left hand side should be:

(cosxtanx-tanx+2cosx-2)/(tanx+2)

Without the brackets, it is left unclear whether the denominator is just tanx or tanx+2. I recommend to use brackets wherever any doubt could arise.

Now to the actual problem: \we can make the following transformations on the left hand side:

\frac{\cos x \tan x + 2\cos x -2}{\tan x +2}=\frac{\cos x \frac{\sin x}{\cos x}  + 2\cos x -2}{\frac{\sin x +2\sin x}{\cos x} }=\\=\frac{\cos x \sin x - \sin x + 2\cos^2 x - 2\cos x}{\sin x + 2\cos x}=\\=\frac{\cos x \sin x +2\cos^2 x }{\sin x + 2\cos x}-1=\\=\cos x -1

which is shown to be the same as the right hand side, which was to be shown.

7 0
3 years ago
Other questions:
  • Which of these is not included in the set of rational numbers?
    15·2 answers
  • What is (7y+6x)(−7y-6x)
    7·1 answer
  • A nutrional label states that there are 36 grams of carbs in each serving. This accounts for 12% of a daily value. how many gram
    15·1 answer
  • PLEASE HELP I WILL MARK YOU BRAINLIEST. Ms. Simmons is using sticky notes to write reminders to herself. Each sticky note is 5/6
    5·1 answer
  • Find the perimeter and area
    7·2 answers
  • (-1024x + 27x -6)(1x +2x + 6)
    6·1 answer
  • A bookstore pays $12.75 for hardcover books and charges $29.95. What is the maximum percent of discount that it can offer while
    10·2 answers
  • Can someone show me how you get it and the answer
    12·2 answers
  • How do I convert 12mi/hr = ? Ft/hr
    13·1 answer
  • The table shows the relationship between the two variables. Which selection describes the relationship?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!