You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?

Answers

Answer 1

Answer:

Pure water =74.1 mL

Step-by-step explanation:

You need 420 mL of a 70% alcohol solution.

420 mL of solution and 70% of it should be alcohol.

So,

420 * 70/100 mL

= 420 * 0.7

= 294 mL of alcohol and the rest should be water.

On hand, you have a 85% alcohol mixture.

The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:

Let

y = alcohol solution needed

85% of y = 294

85/100 * y = 294

y = 294 ÷ 85/100

y = 294 × 100/85

y = 29,400/85

y = 345.88235294117

Approximately, 345.9mL

The rest of 420 mL solution has to be pure water

Pure water = 420 mL - 345.9mL

= 74.1 mL

Pure water =74.1 mL


Related Questions

What is the output (y) if the input (x) is -10?
plz exsplain

Answers

Answer:

y = -5

Step-by-step explanation:

y = x / 2

For x = -10

Plug -10 into the equation

y = -10/2

y = -5

------------------

For the remaining values

x     y

0     0

4     2

10     5

Please help me to do the other answers

Answers

Answer:

in = - 9.5

Step-by-step explanation:

- 9.5 × 2 = -19

-19 - 1 = -20

What is the slope of a line perpendicular to 3x + 4y = -2?

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The slope of the perpendicular line will be the negative reciprocal of the original slope.

For this line, the slope is [tex]-\frac{3}{4}[/tex] , whose negative reciprocal is [tex]\frac{4}{3}[/tex]

A play is being presented on a circular stage. The two main characters are
at positions A and B at the back of the stage. What angle of view between
the main characters does an actor at position C at center stage have? *

Answers

Answer:

The angle of view between the main characters is 80°.

Step-by-step explanation:

The angle of view of the actor C between actors A and B is the measure of the angle of the central arc between A and B. Hence, the angle of view between the main characters is 80°.

f(x) = x +1 g(x) = x^2 - 3
find f 3
find gf3

Answers

Given: f(x) = x + 1 and g(x) = x²−3

1. Solve for f(3)

Let f(x) = f(3).

Substitute 3 for x

f(3) = 3 + 1
= 4

Therefore f(3) = 4


Solve for gf(3)

Substitute f(3) into g(x).

f(3) = 4
gf(3) = 4² − 3
= 13

Therefore gf(3) = 13

Thank you show your work<3
x=
y=

Answers

Answer:

[tex]x=-5,\\y=\frac{13}{2}[/tex]

Step-by-step explanation:

[tex]\begin{cases}x+2y=8,\\x=-5\end{cases}[/tex]

Substitute the second equation into the first ([tex]x=-5[/tex]):

[tex]-5+2y=8,\\2y=13,\\y=\boxed{\frac{13}{2}}[/tex]

The second equation already denotes [tex]x=-5[/tex]. Therefore,

[tex]\boxed{x=-5,\\y=\frac{13}{2}}[/tex]

Answer:

x=-5

y=6.5

Step-by-step explanation:

if x=-5 then x+2y=8 could be rewriten as -5+2y=8 then you add 5 on both sides and you get 2y=13 then divide both sides by 2 and you get y=6.5

Select all of the true statements about the sides of a right triangle.

A. The legs are the sides next to the 90 (right) angle.

B. The hypotenuse is the longest side

C. Side “a” is always longer than side “b”.

D. The hypotenuse is opposite the 90 (right) angle.

Answers

Answer:

It should be options B and D

pls help pls help pls help

Answers

Sin C= 3/5
Your answer would be A

Answer this question for me please

Answers

Answer:

9-2 = 7

8-3 = 5

[tex]\sqrt{5^{2} +7^{2} \\[/tex]

= 8.602325267

Step-by-step explanation:

Cary sets up a checking account with an initial balance of $27,700, and the rent for her
apartment is deducted every month for a year. After a year the balance is $7900
(Assume no other transactions occur on the account)

Answers

Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650

Please help I will mark brainlest

Find the sum of 1+2+3+4...19



Spam answer will be reported

Answers

Answer:

190

Step-by-step explanation:

1+2+3+4......19=210-20

=190

Which expression gives the measure of angle ABC?​

Answers

The answer is D!

If helped mark me the brainiest!!

Answer: 1/2 (110 degree + 20 degree)

Step-by-step explanation:

Given that cos(θ)= -√3/4 and tan(θ) > 0, find sin(θ)

Answers

Answer:

B. -√13/4

Step-by-step explanation:

cos 0 = -√3/4 => x=-√3 , h=4

tan 0 > 0

y should be on quadrant III

y= √4²-3= √16-3=√13 => -√13

so, sin 0 = y/h = -√13/4

Answer:

B. -√13/4

Step-by-step explanation:

:)

if x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please

Answers

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer

There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?

Answers

Answer:

0.0152 probability

Step-by-step explanation:

first there are 12 marbles: odds are 2/12 = 1/6

Then, there are 11 marbles: odds are 1/11

So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152

Please give brainliest thanks!

Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.

Students Who Feel More Focused after Exercise
20%
20%
20%
20%
20%


How many students said they feel more focused after exercising?

Answers

Answer:

760

Step-by-step explanation:

it was 760 students that

Which of the following is an example of a quadratic equation?

Answers

Answer:

C) any eqaution that has a variable or number squared is a qaudratic equation

The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers

Answers

Answer

“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:

At least one of the numbers contains 2³ in its factorization list.

At least one of the numbers contains 3² in its factorization list.

At least one of the numbers contains 5 in its factorization list.

“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.

“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.

The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.

The candidates for the 3rd number depends on how many 2s the 2nd number has.

If more than one: 2, 6, 18, 10, 30, 90

If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360

What is the slope of (6,-2) and (-3,1)

Answers

Answer:

slope = 1

Step-by-step explanation:

We have two points which are (6,-2) and (-3,1).

and we need to find slope

use the slope formula

m = ( y² - y1 ) / ( x² + x¹)

Where,

m is the slope( y² - y1 ) = ( 1 - 6 )( x² + x¹) = ( -3 -2)

substitute the values

m = ( 1 - 6 ) / ( - 3 -2)

m = -5 / -5

divide we get

m = 1

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6-2) and (x₂, y₂ ) = (- 3, 1)

m = [tex]\frac{1-(-2)}{-3-6}[/tex] = [tex]\frac{1+2}{-9}[/tex] = [tex]\frac{3}{-9}[/tex] = - [tex]\frac{1}{3}[/tex]

Find the missing side

Answers

Answer:

x = 54.40883769

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 37 = 41/x

x tan 37 = 41

x = 41/ tan 37

x = 54.40883769

If 2 to the power of x is 1/32. Find the value of x...

Answers

Step-by-step explanation:

2 to the power x =1/32

2 to the power x =1/2 to the power 5

2 to the power x = 2 to the power -5

then,

x = -5

The product of two 2-digit numbers is 3774. What is the smaller of the two numbers?

Please help quick

Answers

Answer:

In factored form:  3774  =  2 · 3 · 17 · 37

Creating two two-digit numbers:  3 · 17  =  51  and 2 · 37  =  74.

So, the two numbers are:  51  and  74.

Pls help
A quadratic equation written in general form has a coefficient of −5 on the leading term, a coefficient of 2 on the first-degree term, and a constant of 3. What is the equation? Use x as the variable.

Answers

Answer:

f(x) = -5x² + 2x + 3

Step-by-step explanation:

f(x) = -5x² + 2x + 3

Plsss Answer 100% will mark as brainlist!!!
In the following figure ABCD, find the value of x​

Answers

Answer:

80°

because its diagnol so the one in the top corner is the same as x

Answer:

x = 140°

Step-by-step explanation:

Sum of exterior angles of polygon is 360°

That is, x + 70 + 80 + 70 = 360

           x + 220 = 360

           x = 360 - 220 = 140°

25x + 22x + 9 = 180.......

Answers

[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅

Step-by-step explanation:-

[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]

To verify:-

[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

find the eighth term of an arithmetic sequence if the first term is 5 and the common difference is 6

Answers

Answer:

47

Step-by-step explanation:

Formula for finding nth term of an arithemetic sequence is:

tn = t1 + (n-1) d

Where t1 is the first term, n is the specific term, and d is the common difference.

Plug numbers into the formula and solve:

t8 = 5 + (8-1)6

t8 = 47

which of the following statement is true?​

Answers

C is the right answer

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

9.30

Step-by-step explanation:

Using SOHCAHTOA

tan=opposite/adjacent

tan25°=x/20

tan 25°=0.4663

0.4663=x/20

cross multiply

x=0.4663*20

x=9.326

to the nearest tenth=9.30

Please help! I’m begging lolll

Answers

Answer:i think is C

Step-by-step explanation:

PLEASE please help me with this!! its due tonight. THANK YOU.

explaining your answer = brainliest

the area of the parallelogram is 49 square centimeters.
y = ___ cm

Answers

Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

Hope it is helpful...
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