to compound 50% solution in which proportion must 95% sol and 30% sol be mixed to make
500 ml

Answers

Answer 1

Answer:

4/9

Step-by-step explanation:

Let the amount of 95% sol = a ml and

the amount of 30% sol = b ml.

So, the total amount of the compound=a+b=500 ml

As the compound is 50% solution, so

95% of a + 30% of b= 50% of (a+b)

(95/100)a+(30/100)b=(50/100)(a+b) [from equation (i)]

95a + 30b = 50(a+b)

95(a/b)+30 = 50(a+b)/b [dividing both sides by b]

95(a/b)+30 = 50(a/b+1)

95(a/b)+30 = 50(a/b)+50

95(a/b)-50(a/b)=50-30

45(a/b)=20

a/b=20/45

a/b=4/9

Therefore, a:b=4:9

As a+b= 500 ml, so the amount of 95% sol = [tex]\frac {500}{13}\times 4=\frac{2000}{13}=153.85[/tex] ml

and the amount of 95% sol = [tex]\frac {500}{13}\times 9=\frac{4500}{13}=346.15[/tex] ml

Hence, the proportion of 95% sol and 30% sol to make a compound of 50% sol must be 4/9.


Related Questions

find the length of the top part of the window shown. The diameter of the Sun in my circle is 63 in in length. Round your answer to the nearest inch​

Answers

Answer:

[tex]99\ inches[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Diameter\ of\ the\ Sun\ or\ the\ Semi-Circular\ Window=63\ inches\\Hence\ in\ order\ to\ find\ the\ length\ of\ the\ top\ part,\ we\ need\ to\\ find\ the\ semi-circumference\ of\ the\ window.\\Hence,\\As\ we\ know\ that,\ in\ any\ circular\ figure,\\Radius=\frac{Diameter}{2} \\Hence\ here,\\Radius\ of\ the\ Semi-Circular\ Window=\frac{63}{2}\\Hence,\\As\ the\ Circumference\ of\ a\ circle= 2\pi r[/tex][tex]Hence,\\Semi-Circumference= \frac{Circumference}{2}\\Hence,\\ Semi-Circumference=\frac{2\pi r}{2}\\Semi-Circumference=\pi r\\Hence\ taking\ r=\frac{63}{2}\ and\ \pi =\frac{22}{7} ,\\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window=\pi *\frac{63}{2} \\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= \frac{22}{7}*\frac{63}{2}\\[/tex]

[tex]The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= 11*9=99\ in\\Hence,\\The\ length\ of\ the\ top\ part\ of\ the\ window= 99\ inches[/tex]

Answer:34)63

Step-by-step explanation:

marking brainiiest Emery makes $15 per hour in addition to 2.25% commission on her sales each week. If her sales were $3,200 last week, how much will Emery be paid if she worked 38 hours?

Answers

Answer:

Step-by-step explanation:

Emery is paid 15 dollars an hour and she worked 38 hours

15*38=570 dollars just from the hourly wage

the commission is 2.25% and her sales were 3,200 dollars

(3200*2.25)/100=72

total=570+72=642

Page 2 I need help with this whole page! And be careful, my teacher said “think about what part of the equation deals with price “

Answers

Answer:

a) Already correct

b) If x represents each one dollar increase in price, than prices that are increased by $16 and $28

c) $6

d) Maximum Revenue would be $2,420

e) x = -5 but it's extraneous

(if we were using imaginary numbers then it would be 5i)

Step-by-step explanation:

um i am not sure! i really am eed help! happy holidays too.

Answers

It would be 200 cds as one equals 10g and 10g times 200 equals 2000g( 2kg)

- A box contains 7 apples and 5 oranges. The pieces of fruit are taken out of the box, one at a
time and in a random order. What is the probability that the bowl will be empty after the last
apple is taken from the box?​

Answers

Answer:

The value is [tex]P( O \ and \ A ) = 0.583[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of apples is  [tex]A = 7[/tex]

   The  number of oranges is  [tex]R = 5[/tex]

Generally the probability that the bowl will be empty after the last apple  is taken from the box is mathematically represented as

  The probability that  5 oranges   and 7 apples are drawn in the 1st 11 draws

So

      [tex]P( O \ and \ A ) = \frac{(^5 C_5) * (^7 C_6) }{^{12} C_{11}}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

      [tex]P( O \ and \ A ) = \frac{(1 * 7 )}{12}[/tex]

=> [tex]P( O \ and \ A ) = 0.583[/tex]

Two doctors is % of 25 doctors


=_____%

Answers

Answer:

50

Step-by-step explanation:

Answer:

I believe it is 5 percent

Step-by-step explanation:

Hope it helps and is right.

what is 344.7234 to 1 decimal point​

Answers

Answer: 344.7

Explanation:

344.7∣234

  (Cut ^off point at the line)

The digit to the right of the cut of the point is less than 5. So the digit to its left (the 7) is not changed and all those to the right are changed to 0 gives you:

344.7000

Written as 344.7

Hope this helps and hope you have a wonderful day :)

Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. Write an equation that represents the number os teaspoons tcontAINED IN A CUP C.

Answers

Answer:

([tex]\frac{t}{3}[/tex])÷16=C

Evaluate | -65 | = ?

Answers

Answer:

65

Step-by-step explanation:

It's the absolute value of -65

Hope this helped, Have a Wonderful Day!!

Patrick paid $18.70 for a pack of 10 notebooks. Individually, each notebook in the pack costs $ . PLS HELPPPPPP now

Answers

Answer:

$1.87

Step-by-step explanation:

Since the total cost was $18.70 and there are ten in the pack, to find the price of one notebook you just need to divide the total cost by the amount of notebooks there are. So 18.70 divided by 10 is $1.87 for each notebook.

They each cost about 1 dollar and 87 cents

1. $5,876 are distributed equally among 26 men. How much money will each person get?

Answers

Answer:

226

Step-by-step explanation:

Since the total is $5,876 you want to divide by the number of people 26 to equally split the money.

$5,876/26=226

Help me out here pleaseeeeeeee

Answers

Answer:

if gray is what's left then it is C if white is what's left it is A

Step-by-step explanation:

Step-by-step explanation:

A because it shows the 2/3 of the pie colored meaning eaten

Can you please help do not understand

Answers

The first blank on the left side should be 0 I think

can someone please help!?

Answers

Answer:

x = 44.4°

Step-by-step explanation:

Use SOHCAHTOA.

In this case, use sine trigonometric function formula

[tex] \sin(x) = \frac{o}{h} [/tex]

The opposite side of angle is 7.

The hypoteneuse is 10.

So,

[tex] \sin(x) = \frac{7}{10} \\ x = \sin ^{ - 1} ( \frac{7}{10} ) \\ x = {44.427}^{o} \\ x = {44.4}^{o} [/tex]

9514 1404 393

Answer:

  44.4°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  sin(x) = 7/10

  x = arcsin(7/10)

  x = 44.4°

Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter​

Answers

Answer:

[tex]Perimeter = 34cm[/tex]

Step-by-step explanation:

Given

Represent the adjacent sides with A and B

[tex]A= 7cm[/tex]

[tex]B = 10cm[/tex]

Required

Determine the perimeter

The perimeter is calculated as follows;

[tex]Perimeter = 2 * (L + B)[/tex]

[tex]Perimeter = 2 * (7cm + 10cm)[/tex]

[tex]Perimeter = 2 * (17cm)[/tex]

[tex]Perimeter = 2 * 17cm[/tex]

[tex]Perimeter = 34cm[/tex]

A women drives her car 168 miles in 3 hours. At this rate how far will she travel in 5 hours?

Answers

Answer:

280mph

Step-by-step explanation:

168 divided by 3 = mph

Times 5 = Answer

Select the correct answer.
What is the slope of the linear relationship shown in this table of values?
a.-3
b.-2
c.2
d.3

Answers

Answer:

c

Step-by-step explanation:

I agree with c.2 as well

I have 86 chocolate chip cookies and 42 sugar cookies what is the greatest number of identical packages that I can make

Answers

Step-by-step explanation:

Given that,

No. of chocolate chip cookies = 86

No. of sugar cookies = 42

We need to find the number of identical packages that I can make.

It means we need to find the HCF of these 2 number.

Prime factorization of 86 and 42 as follows :

86 = 2 x 43

42 = 2 x 3 x 7

HCF = 2

Hence, I can make 2 identical packages.

Answer:

Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

find the measure of the line segment RB​

Answers

9514 1404 393

Answer:

  RB = 16

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces of the chord is the same for all:

  RB·RD = RE·RC

  RB = RE·RC/RD = 8·14/7 = 8·2

  RB = 16

RB = 16

Merry Christmas and Happy New Year!

write the polynomial in standard form given these zeros [-1; 3; 4]

Answers

Answer:

ummmm donooo

what sis this

Need help ASAP!!
HELP!!!!!

Answers

Answer:

Option D

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph attached,

Since, the given line passes through two points (-3, 0) and (0, 2),

Slope of the line = [tex]\frac{2-0}{0-(-3)}[/tex]

                           = [tex]\frac{2}{3}[/tex]

y-intercept of the line is the point of intersection of the line and y-axis.

Therefore, y-intercept of the line given in the graph is,

y = 2 units

Option D is the answer.                    

12 yards = ______________ feet

Answers

Answer:

36 feet

Step-by-step explanation:

One yard is 3 feet.

12 yards * 3 feet = 36 feet

Answer:

36

Step-by-step explanation:

1 yard=3 feet so

12 yards = 3x12 feet

12 yards = 36 feet

Hope this helps! :)

Help ASAP Please. Working on this now. Look at picture for question and answer A, B, C. No Plagiarism Please. Will Mark Brainliest. ​

Answers

Answer:

Please check explanations for answer to the question

Step-by-step explanation:

The exponential relation can generally be represented as ;

y = I (1 + x)^n

where I is the initial value

1 + x represents the growth rate

n represents the time such as number of years

y represents the value after n count

a) The value 1200 represents the initial count of bacteria in the study

b) 1.8 represents the growth rate of the bacteria population in the culture

c) 1000 represents the initial bacteria population in the second function

The difference mean that the initial population in the first case study is greater than what we have in the second function

How do I find where my potato chip went

Answers

Check under the table bro

Answer:

look around for it maybe it fell under your bed, couch etc just look

Step-by-step explanation:

6. Translate statement below. "One less than twice a number. A 1-n² B. 2-1 c. 1-2 D. 2n-1​

Answers

It’s D. 2n - 1 .............

is this gear reduction direct drive or overdrive

Answers

Answer:

overdrive

Step-by-step explanation:

i have nun but thuis it

Answer:

overdrive

Step-by-step explanation:

gear reduction. refers to the 5th and 6th gear

Find X and Y !!!!!
X=
Y=

Answers

Answer:

x=48 degrees

y=66 degrees

Step-by-step explanation:

180-114=66 degrees

y=66 degrees

180- (66+66)

180-132

48 degrees

x= 48 degrees

I don't really know how to explain it any better but I hope this helps.

Have a great day, you amazing bean child.

Write the following in point-slope form using the given information: Slope: 2 points
1/15; Point: (3,-5)

Answers

Answer:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Step-by-step explanation:

Given

[tex]m = \frac{1}{15}[/tex] -- Slope

[tex](x_1,y_1) = (3,-5)[/tex] --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for y1, x1 and m

[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Hence, the equation in point slope form is:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Help me please ASAP PLEASEEEE

Answers

Answer:

1 ,3,4

Step-by-step explanation:

Answer:

1, 4 and 5

Step-by-step explanation:

sorry if im wrong

The numbers - 12, -7, -2,3,... follow a pattern. What are the next three
numbers in this pattern?

Answers

The pattern is +5...

Answer:

5

Step-by-step explanation:

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