How many liters each of a 35% acid solution in a 80% acid solution must be used to produce 60 L of a 65% acid solution?

Answers

Answer 1

Let x and y be the required amounts of the 35% and 60% acid solutions, respectively.

x liters of 35% acid solution contains 0.35x L of acid.

y liters of 80% acid solution contains 0.80y L of acid.

Together, a combined (x + y) L of mixed solutions contains (0.35x + 0.80y) L of acid.

You want to end up with 60 L of 65% acid solution, which means

x + y = 60

0.35x + 0.80y = 0.65 × 60 = 39

Solve for x and y :

y = 60 - x

0.35x + 0.80 (60 - x) = 39

0.35x + 48 - 0.80x = 39

0.45x = 9

x = 20

y = 40


Related Questions

40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo

Answers

The probability that an athlete that is getting into a fight has a tattoo is 0.80

Let the events be represented as:

Event A : get into a fightEvent B: has a tattoo

So, the probabilities are given as:

[tex]P(A\ n\ B) = 40\%[/tex]

[tex]P(A) = 50\%[/tex]

The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)

So, we have:

[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]

Substitute known values

[tex]P(B | A) = \frac{40\%}{50\%}[/tex]

Cancel out the percentages

[tex]P(B | A) = \frac{40}{50}[/tex]

Divide 40 by 50

[tex]P(B | A) = 0.80[/tex]

Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80

Read more about probabilities at:

https://brainly.com/question/251701

The picture can be represented by the equation 40 divided by 8 equals 5.

Answers

Answer:

what is to do here

[tex] \sqrt[8]{40} = 4 \\ 5[/tex]

the answer like this up will be 5 what grade question

Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.

As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.

At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:

"I wisht they'd strike game somewheres, an' go away an' leave us alone."

"They do get on the nerves horrible," Henry sympathized.

They spoke no more until camp was made.

Read this line from the story:
As darkness came on, the hunting-cries to right and left and rear drew closer, ...

What is the purpose of this sentence in the story? (5 points)

It implies a mood of utter despair.
It implies a near tragic event.
It creates a feeling of being trapped.
It creates a sense of action. I AM GIVING 50 POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The problem with this kind of question is that the author tells you what you should see in that sentence. The dogs experienced fear. Any other answer you suggest is not what the author means. So you are guessing. It is adding to the notion that the arctic is not a friendly place and you cannot go sunbathing in and be comfortable in the middle of winter.

A is as good an answer as you are likely to get, but I don't think it's right.

Use what you know about operations and their properties to write three expressions equivalent to the expression shown.

10(2+3)−8⋅3

Answers

1) Simplify 2 + 3 to 5.

10 * 5 - 8 * 3

2) Simplify 10 * 5 to 50.

50 - 8 * 3

3) Simplify 8 * 3 to 24.

50 - 24

4) Simplify.

24

which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42

Answers

Answer:

It is C. 500 tablets in a bottle for 13.42

Step-by-step explanation:

9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.

6.32/100 = 0.06 cents per tablets in a bottle.

13.42/500 = 0.02 cents per tablets in a bottle.

What is the answer to this 1/3(n+1)=1/6(3n-5)

Answers

Answer:

n=7

distribute 1/3 by 1/3 and 1 then distribute 1/6 to 3n and 5 combine like terms for both sides simplifying to -n=(-7) divide - by n and -7 getting you n=7.

Write an explicit formula for an, the nth term of the sequence 35,42,49

Answers

123 is the answer to this equation I think

Hi!

We can see the numbers are increasing by 7, therefore your equation would be:

n = p + 7

"p" represents the previous number, and "n" represents the number you're trying to find.

Hope this helps! :D

Identify the slope formula.

Answers

Answer:

The second one is the answer.

Step-by-step explanation:

slope= y2-y1

          ------------

            x2-x1

Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8

0-1
-4
ANSWERS:
4
1/4
-1/4
-4

Answers

Answer:

45

Step-by-step explanation:

(f+g)(x)

f(x)= x-3, g(x)= 2x+8

What is 27.6 / 8???????????

Answers

Answer:

seriously??

have you heard of calculators lol

the answer is 3.45

How do the 2s in 12.5 and 0.912 compare?

A The value of the 2 in 12.5 is 11,000 the value of the 2 in 0.912.

B The value of the 2 in 12.5 is 1100 the value of the 2 in 0.912.

C The value of the 2 in 12.5 is 10 times the value of the 2 in 0.912.

D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912.

Answers

Answer:

  D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912

Step-by-step explanation:

The value of a digit in a number can be found by setting the other digits to zero.

The value of 2 in 12.5 is 2.

The value of 2 in 0.912 is 0.002.

The ratio of values is 2.000/0.002 = 2000/2 = 1000.

The value of 2 in 12.5 is 1000 times the value of 2 in 0.912.

Answer:

D

Step-by-step explanation:

The answer is D

Perimeter of piecewise rectangular figure. Please help.

Answers

Check the picture below.

so the perimeter is 6+16+14+7+8+9 = 60.

y=sech(tan‐¹x) find the derivative ​

Answers

Recall that

d/dx sech(x) = - sech(x) tanh(x)

d/dx tan⁻¹(x) = 1/(1 + x²)

Then by the chain rule,

dy/dx = - sech(x) tanh(x) / (1 + x²)

455,757,974,946,454 ×454,942,164,313,233.Plz help.​

Answers

91929229

7373738292929202010100110010110

A) assuming the car is traveling at a constant speed, at what rate is the car traveling?

Answers

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.

HELP

please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️

Answers

Answer:

[tex](x-6)^2=8[/tex]

Step-by-step explanation:

[tex]x^2-12x+32=4[/tex]

[tex]x^2-12x+32+4=4+4[/tex]

[tex]x^2-12x+36=8[/tex]

[tex](x-6)^2=8[/tex]

Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.

d ÷ 20 = 0.81
d = ?
what is d?

Answers

Answer: 16.2

Step-by-step explanation:

i used the calculator

What would be the total cost of
Software M over time?
Satisfaction 55%. $0
$[?]
Not Satisfied
$6,000
Software X
45% - $18,000
Software M.
$12,000
95% - $0
Satisfaction
Not Satisfied
5% • $2,000
Entor

Answers

1. The total cost of Software M over time is $10,000.

2. The total cost of Software X over time is $4,000.

Data and Calculations:

Cost of Software M = $12,000

Satisfaction rate with Software M = 95%

Cost of satisfaction level = $0

Cost of dissatisfaction level = $2,000

Percentage of not satisfied = 5%

The total cost of Software M over time is $10,000 {($12,000 x 95% - $0) + ($12,000 x 5% - $2,000)}.

Cost of Software X = $6,000

Satisfaction rate with Software X = 55%

Cost of satisfaction level = $0

Cost of dissatisfaction level = $18,000

Percentage of not satisfied = 45%

The total cost of Software M over time is $4,000 {($6,000 x 55% - $0) + ($6,000 x 45% - $2,000)}.

Learn more about total cost based on satisfaction ratio here: https://brainly.com/question/25940131

graph { (2/3) (2,4) (-3/4)}

Answers

Answer 56

Step-by-step explanation:

Emilio has 8 large bottles of soda and 12 large jugs of water. Emilio wants to set up identical tables and have no drinks left over. What is the greatest number of tables that he can set up?

Answers

Answer:

4

Step-by-step explanation:

Think about the ratio between the current number of large bottles of soda(8) and the current number of jugs of water (12)

By finding the GCF (Greatest Common Factor) of the two numbers, we can conclude that if both numbers were to be divided by the GCF, 4, we would get a 2:3 ratio.

For every 2 bottles of soda, 3 jugs of water will be placed. Keep doing this until we run out of both sources of liquid, in this case, 4 tables where we would use all the bottles of soda and the jugs of water.

What is the discriminate of the following quadratic equation?
4x^2 - 2x + 6 = 0

Answers

-92

Step-by-step explanation:

If a quadratic equation has the following form:

[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]

then its discriminant D is defined as

[tex]D = b^2 - 4ac[/tex]

In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is

[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]

Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:

[tex]D > 0,\;\;[/tex] there will be 2 real roots

[tex]D = 0,\;\;[/tex] there will be 1 real root

[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots

Hence our given quadratic equation will not have any real roots but only imaginary ones.

Help help help math math

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function

[-4,6)
Write the interval as an inequality.

Answers

Answer:

4<×<6

Step-by-step explanation:

interval as an inequality

Which explanation could be used to verify weather the functions are inverse

Answers

Answer:it is the second option

Step-by-step explanation:

neither of the lines are paralell to the y=x

Can someone help me please!? Can you show the work as well! :)

Answers

Ok done. Thank to me :>

Draw the image of AABC under a translation by 3 units to the left and 3 units down

Answers

this is an answer if u have somethin better go for it

What is the range if this function ?

Answers

Answer:

-4 to 0 (both -4 and 0 are included in the range because of the dots)

A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.

Answers

Answer:

The guitarist makes 70$ a performance

Step-by-step explanation:

To find how much he makes per performance we need to make an equation where how much he makes per performance is x

The equation would be:

x=420

Then we would divide both sides by 6

6÷6×x=420÷6

which would make the equation

x=70

meaning that the guitarist makes 70$ per performance

Let performances be x

[tex]\\ \sf{:}\dashrightarrow 6x(2)=420[/tex]

[tex]\\ \sf{:}\dashrightarrow 12x=420[/tex]

[tex]\\ \sf{:}\dashrightarrow x=420/12[/tex]

[tex]\\ \sf{:}\dashrightarrow x=35[/tex]

Graph the function
f(x) = 3/5x - 5

Answers

Step-by-step explanation:

okay, plot a point at (0,-5) then count 3 units up and 5 units to the right and put a point there

connect the points with a straight line

add arrows to each end of the line :)

What is 7*1893/2? Help please

Answers

Multiply first then divide:

7*1893 = 13251

13251/2 = 6625.5

Answer: 6625.5

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