A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Choose the equation to match the situation

Answers

Answer 1

Answer:

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Step-by-step explanation:

From the given information:

Let consider  x to be the of volume 40% solution

therefore the volume of 5% is said to be:

10 L= 40% solution volume + 5% solution volume

10 L= (x + 5%) solution volume

making 5% solution volume the subject; we have

5% solution volume= 10 L - x

To estimate the value of the volume, we now have:

Volume  of 20% × Concentration of  20%= (Volume of 40%  × concentration40%) + (Volume of 5% × Concentration of 5% )

10L  ×  20%= (x) L × 35% + 10 L × 5%

(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15

[tex]x L = 10L \times \dfrac{15}{35}[/tex]

x = 4.28 L

x [tex]\simeq[/tex] 4.3L

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L


Related Questions

PLEASE HELP! oooooo​

Answers

Answer:

The missing value is 41.

Step-by-step explanation:

If r= 3c+5 you plug in the 12, which is c, and the equation becomes r= 3x12+5. 3x12= 36, and 36+5= 41.

Answer:

41

Step-by-step explanation:

because 1=3 so 12=41

hope that helped!

Which table has a constant of proportionality between y and x of 8/5​

Answers

Answer:

Table 1

Step-by-step explanation:

Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.

Table 1:

4       32/5

10      16

11       88/5

Let's find the constant of proportionality for each row:

R1: (32/5) / 4 = 8/5

R2: 16/10 = 8/5

R3: (88/5) / 11 = 8/5

Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.

If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.

Hope this helps!

Answer:

Table 1

Step-by-step explanation:

I just did it on Khan Academy

Khloe drove 204 miles in 4 hours. If she continued at the same rate, how long would
it take to travel 765 miles?

Answers

Answer:

15 hrs.

Step-by-step explanation:

204/4 = 51 miles per hrour

765/51 = 15 hrs.

Answer:

15

Step-by-step explanation:

I ad this on my hw last week got it right

they were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many boxes of mangoes were there?

Answers

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.

3(4x-1) greater than or equal to 2(4-x)

Answers

Answer:

Greater than

Step-by-step explanation:

First, I solved the expressions.

3(4x-1)=12x-3

2(4-x)=8-2x

12x-3>8-2x

As we can see, 12x-3 is greater than 8-2x.

Step-by-step explanation:

12x - 3 (expand 3(4x-1))

8-2x (expand 2(4-x))

if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first

for the second equation, 8-2x, it would be 8- 2(1) or 6

9>6 so, 3(4x-1) > 2(4-x)

Pls help ASAP just number 11 and show work

Answers

Answer:

Length of route that passes the mall= 11 miles

Length of route that passes the theater= 13 miles

Step-by-step explanation:

route to school that passes the mall (highlighted in red)

= (x +1) +(x +2)

= 2x +3

route to school that passes the theater (in yellow)

= (2x +1) +x

= 3x +1

Since the first is 2 miles shorter,

2x +3= 3x +1 -2

Simplify:

2x +3= 3x -1

Bring constants to 1 side, x terms to the other:

3x -2x= 3 +1

x= 4

Substitute x=4 to find the length of each route:

Length of the route that passes the mall

= 2x +3

= 2(4) +3

= 8 +3

= 11 miles

Length of route that passes the theater

= 3x +1

= 3(4) +1

= 12 +1

= 13 miles

Alternatively, length of route that passes the theater

= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.

A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.

input 1 2 3 4 n
output 11 14 17 20

Answers

5 ............................

Solve for n 19 + 10n = 7n - 20

Answers

Answer:

n = -13

Step-by-step explanation:

19 + 10n = 7n - 20

Subtract 7n from each side

19 + 10n-7n = 7n-7n - 20

19+3n = -20

Subtract 19 from each side

19+3n -19 = -20-19

3n = -39

Divide each side by 3

3n/3 = -39/3

n = -13

what is the value of k?​

Answers

Answer:

k = 10

Step-by-step explanation:

∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)

*∡ stands for angle.

∑ of  ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)

∴ (4k + 5)° + 65° + (6k + 10)° = 180°

10k + 80 = 180

10k = 100

k = 100 ÷ 10 = 10

Translate into a verbal sentence q - (4+p)= 1/3q

Answers

Q minus four and p equals one third of q

An error has been made in subtracting the two polynomials as shown in the student work. (6x2 – 4x – 5 ) – (3x2 – 7x + 2) = How do you correctly subtract the two polynomials? Identify: Terms: Coefficient of "x2 ":Coefficient of "x":

Answers

Answer:

3x^2 + 3x - 7

Step-by-step explanation:

Given:

(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2)

The correct way of subtracting the polynomial is by changing the sign of each term of the second polynomial. Like this

= 6x^2 – 4x – 5 – 3x^2 + 7x - 2

Collect like terms

= 6x^2 - 3x^2 - 4x + 7x - 5 - 2

Simplify

= 3x^2 + 3x - 7

(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2) = 3x^2 + 3x - 7

From the answer, the coefficient of x^2 is 3, coefficient of x is 3

identify the base of the expression x^5

Answers

Answer:

Step-by-step explanation:

x·x·x·x·x=x^5

x multiplied 5 times

PLASE HELPpp it’s due before midnight. change to scientific notation
Q1: 9.6 x 10'7 =
Q2: 2 x 10'-6 =

Answers

1: 96000000
2: 0.000002

Answer: Q1: 9.6e7

Q2: 2e-6

Step-by-step explanation: All you do is pretend the 10 insent their and and the e between the first set of numbers and the second number on the second set of numbers.     Hope this helped!!!

-(-9.8f+7) please help

Answers

Answer:

[tex] \frac{7}{5} (7f - 5)[/tex]

Answer:

-9.8f - 7

Explanation:

You distribute the negative to the 9.8f to make it -9.8f, and the 7 to make it -7.

(-9.8f + (-7)) = -9.8f - 7

∆PQR has vertices P(5, –2), Q(1, –4), and R(3,3).Reflect ∆PQR about the y-axis, translate 4 units down, and reflect about the x-axis.

Answers

Answer:

P(-5,6) Q(-1,8) R(-3,1)

if the whole numbers are added the sum would be
113.5+22.41​

Answers

113.5+22.41 = 135.91 if that’s what’s your asking :)

X-5(x-1)=x-(2x-3) what does it equal

Answers

Answer:

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

Step-by-step explanation:

[tex]x - 5(x - 1) = x - (2x - 3) \\ x - 5x + 5 = x - 2x + 3 \\ x - 5x + 2x - x= 3 - 5 \\ - 3x = - 2[/tex]

Divide both sides of the equation by -3

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

Esha's class recorded the outside temperature at 9:00 am. every day for two weeks. they make a line plot to show the data. how many marks should be above the 76 on the scale?

Answers

Answer:

Step-by-step explanation:

5

I really don't get it plz help

Answers

Answer:

Step-by-step explanation:

Change g(n) to y

y = 2n - 2

2y - 2 = n

2y = n + 2

y = (n + 2)/2

g^-1(n) = 1/2n + 1

solution is B

Parker signed up for a streaming music service that costs $6 per month. The service
allows Parker to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.50 per song. How much total money would
Parker have to pay in a month in which he downloaded 50 songs? How much would
he have to pay if he downloaded s songs?

Answers

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

Help please!!! Thank you

Answers

Answer:

multiply 45×20×15

Step-by-step explanation:

you can use calculator

Read the ruler in millimeters to the correct degree of precision (The ruler is in between the halfmark and the sixth mark on the ruler between 3 and 4) ​

Answers

Answer:

3 1/2

Step-by-step explanation:

a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1 are the two shapes equal in perimeter?

Answers

Answer:

yes

Step-by-step explanation:

Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.

Given, A rectangle with sides of length n+2 and n.

∴ Perimeter = 2((n + 2) + n)

= 2(2n + 2).

= 4n + 4.

Also given, A square with sides of length n + 1.

∴ Perimeter = 4(n + 1).

= 4n + 4.

So, yes the two shapes are equal in the perimeter.

learn more about rectangles here :

https://brainly.com/question/6465134

#SPJ2

HELPP me please? It’s due today

Answers

Answer: same-side interior angles

Step-by-step explanation:

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.

Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9, - 1).
a. y = -9x - 82
c. y = -9x + 82
b. y = 82x-9
d. y = 9x-82

Answers

Answer:

Step-by-step explanation:

y + 1 = -9(x + 9)

y + 1 = -9x - 81

y = -9x - 82

answer is A

What is the maximum number of rectangular blocks measuring 2 by 3 by 4 that can
fit into a box measuring 12 by 21 by 40?

Answers

Volume of small box :

[tex]v=l\times b\times h\\\\v=2\times 3\times 4\\\\v=24\ units^3[/tex]

Volume of big box :

[tex]V=L\times B\times H\\\\V=12\times 21\times 40\\\\V=10080\ units^3[/tex]

Number of small boxes that can fit into bigger box :

[tex]n=\dfrac{V}{v}\\\\n=\dfrac{10080}{24}\\\\n=420[/tex]

Therefore , 420 such boxes can fit .

Hence , this is the required solution .

if 17% of a certian num mber of mangoes is egual to 1360 then find total number of mangoesf

Answers

Answer:

If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}[/tex]

Step-by-step explanation:

Let the number be x

The given condition is:

=> 17 % of x = 1360

=> [tex]\sf \frac{17}{100} * x = 1360[/tex]

Multiplying both sides by [tex]\frac{100}{17}[/tex]

=> [tex]\sf x = \frac{136000}{17}[/tex]

=> x = 8000

So, total number of mangoes is 8000.

Solve the equation for the variable specified. df + 10h = 3 Solve for d. A. d 3= 10h f B. d. 3- 10h f C. d = 3 - 102 D. d = f(3 – 10h) ​

Answers

Answer:

Step-by-step explanation:

d= (3-10h)/f

The graph of 0.5x - 2y = 3 is shown on the grid.


Which ordered pair is in the solution set of 0.5x – 2y 23?
A(-2, 0.5)
B. (2.1)
C (2, -1)
D. (-2,-0.5)

Answers

Answer:

D

Step-by-step explanation:

Hope this helps

10(-8f +1) – 8(6 f – 4)

Answers

Answer:

2(- 64f + 21)

Step-by-step explanation:

10(-8f+1)-8(6f-4)

-80f+10-48f+32

-80f-48f+10+32

-128f+42

hope it helps!

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