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

Answers

Answer 1

9514 1404 393

Answer:

4.3 L of 40% solution5.7 L of 5% solution

Step-by-step explanation:

Let x represent the number of liters of 40% solution in the mix. Then the total amount of acid in the mix is ...

  0.40x +0.05(10-x) = 0.20(10)

  0.35x +0.5 = 2.0

  0.35x = 1.5

  x = 1.5/0.35 ≈ 4.3 . . . . liters of 40% solution

  10-x = 10 -4.3 = 5.7 . . .liters of 5% solution


Related Questions

solve the following equation c/4 = 4

Answers

C=16
Bc if you do 16/4 it equals 4

Simplify the following expression
- 4p - (1 - 6p)​

Answers

Answer:

2p-1

Step-by-step explanation:

Answer:

-2p - 1

Step-by-step explanation:

-4p - (1 - 6p)

-4p - 1 + 6p

-4p + 6p - 1

-2p - 1

Please let me know if I'm wrong!

HELPS ME SOLVE THIS PROBLEM PLEASE please

Answers

Answer:

(0,4,8,12)

Step-by-step explanation:

Range is all the y values.

Answer:

A

Step-by-step explanation:

help pls I'm not smart enough for this..​

Answers

Answer:

y = 1/2x, 2:1y = 5x, 1:5y= 1.5x, 16:24y = 3x, 1:3

Step-by-step explanation:

Number replaces with each corresponding value.

The number on the left is the x, and the number on the right of the colon is y.

Simply replace x and if you get the y, it is a match.

y = 1/2(2) = 1

y = 5(1) = 5

y = 1.5(16) = 16

y = 3(1) = 3

What is the mean for the data shown in the line plot?



8
6
5
5 and 7

Answers

Answer:

6

Step-by-step explanation:

its the middle

Answer:

6

Step-by-step explanation:

The supplementary angle of 57° is

Answers

Answer:

123°

Step-by-step explanation:

A supplementary is an angle where two angles add up to be 180°.We can subtract to find its supplement.

180 - 57 = 123°

Best of Luck!

Answer:

123°

Step-by-step explanation:

The supplementary angle is the other angle that makes both angles a linear pair.

So you would do 180° - 57° to solve your answer, which equals 123°

Hope this helps!

which equations have exactly one y-value for any given x-value? select all that apply
A.y=-x
B.x=4
C.y=x^2
D.y=x^3

Answers

Answer:x=4

Step-by-step explanation:

The equations y = -x,y = x², and y = x³ have one y-values for a given x-value thus options (A) ,(C) and (D) will be correct.

What is the equation?

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

In the first option y = -x

The value of y will be negative of x thus it will be single for every single x.

In the third option x = x² here for every x there will be a single y thus it will be single for every single x.

In option fourth option y = x³ here for x, y will be one thus it will be single for every single x.

In option (B) x = 4 here y is changing for x = 4 thus here y will not be one.

Hence "The equations y = -x,y = x², and y = x³ have one y-values for a given x-value".

For more about the equation,

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You start at (-2, 4). You move up 1 unit and down 5 units. Where do you end?

Answers

Answer: (-2,0)

Step-by-step explanation:

Which one don’t lie?????!!!!!

Answers

Answer:

y=4x+35

Step-by-step explanation:

This is the answer because he already has 35 employees and gaining 4 employees for an x number of months.

And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function

Answers

Answer:

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Step-by-step explanation:

Given

[tex]C(x) = -17x + 90[/tex]

[tex]R(x) =- 0.25x^2 + 25x[/tex]

Required

Determine the profit function.

Profit function is calculated as thus:

[tex]P(x) = R(x) - C(x)[/tex]

So, we have:

[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]

[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Find the result when 68 is decreased by 50%

Answers

Answer:

34

Step-by-step explanation:

68÷2=34

34 is the correct answer

Help hurry need to turn in soon

Answers

Answer: x = [tex]\frac{-z - 7}{y}[/tex]

Step-by-step explanation:

Flip the equation

xy + z = −7

Add -z to both sides

xy + z + −z = − 7 + −z

xy = −z − 7

Divide both sides by y

[tex]\frac{xy}{y}[/tex] = [tex]\frac{-z - 7}{y}[/tex]

x = [tex]\frac{-z - 7}{y}[/tex]

x = [tex]\frac{-z - 7}{y}[/tex]

please help me
What should I do ?

Answers

Answer:

D

Step-by-step explanation:

why are there two values of theta if tan theta = 0.4226

Answers

Answer:

[tex]22.91^\circ, 202.91^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan\theta=0.4226[/tex]

To find:

The two values of [tex]\theta = ?[/tex]

Solution:

By given equation:

[tex]\theta = tan^{-1}(0.4226)[/tex]

[tex]\theta[/tex] can be equal to [tex]\approx 20.91^\circ[/tex]

Also, we know the property that, [tex]tan\theta[/tex] is positive in the 3rd quadrant.

and following is also true:

[tex]tan\theta = tan(180^\circ+\theta)[/tex]

Therefore, another value possible for [tex]\theta[/tex] can be:

[tex]\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ[/tex]

Therefore, the answer is:

[tex]22.91^\circ, 202.91^\circ[/tex]

Which of the following is the equation for the line perpendicular to the line 3x−2y=10 that passes through the point (7, 5)

Answers

Answer:

the answer is B which is y= -2/3x + 29/3

Step-by-step explanation:


Reflect
1. When you move the decimal point, how can you know whether you are
increasing or decreasing the number?

Answers

Answer:

If u divide a number the number will decrease

if u multiply the decimal number it will increase.

when multiplying u move the decimal point to the right

if u r dividing u move the decimal point left

how much u move depends on the number of zeros from the number u are dividing or multiplying

Step-by-step explanation:

At midnight, the temperature was 20.4°F. In the morning, the temperature was −5.2°F. Which statement describes the temperatures?
Please help will give brainliest

Answers

Answer:

Hey dabi, the statment that describes the tempertures is one is cold the other is colder i guess

Step-by-step explanation:

Find the value of w. (5w+3)

Answers

we can find the value of w by making it equal to 0:
5w+3 = 0
5w = -3 <- subtract 3 from both sides
w = -3/5 <- divide 5 from both sides

w = -3/5 is your final answer!
hope this helps

The solution is: in the expression (5w+3) the value of w is: w = -3/5.

Here, we have,

given that,

the expression is: (5w+3)

now, we have to find the value of w

so, we get,

we can find the value of w by making it equal to 0:

5w+3 = 0

<- subtract 3 from both sides

5w = -3  

<- divide 5 from both sides

5w/5 = -3/5

so, we have,

w = -3/5 is the final answer.

Hence, The solution is: in the expression (5w+3) the value of w is: w = -3/5.

To learn more on Expression click:

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-40-2(3m+1/2)=7m-2 what does m equal

Answers

Answer: [tex]m[/tex] = −3

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Expand.

−40 − 6[tex]m[/tex] − 1 = 7[tex]m[/tex] − 2

Step 2: Simplify −40 − 6[tex]m[/tex] − 1 to −6[tex]m[/tex] − 41.

−6[tex]m[/tex] − 41 = 7[tex]m[/tex] − 2

Step 3: Add 6[tex]m[/tex] to both sides.

−41 = 7[tex]m[/tex] − 2 + 6[tex]m[/tex]

Step 4: Simplify 7[tex]m[/tex] − 2 + 6[tex]m[/tex] to 13[tex]m[/tex] − 2.

−41 = 13[tex]m[/tex] − 2

Step 5: Add 2 to both sides

−41 + 2 = 13[tex]m[/tex]

Step 6: Simplify −41 + 2 to −39.

−39 = 13[tex]m[/tex]

Step 7: Divide both sides by 13.

−[tex]\frac{39}{13}[/tex] = [tex]m[/tex]

Step 8: Simplify [tex]\frac{39}{13}[/tex] to 3.

−3 = m

Step 9: Switch sides.

[tex]m[/tex] = −3

~I hope I helped you! :)~

Solve the literal equation 4a-2b=8b-5a

Answers

Answer:

if your solving for a its a=10b/9

Step-by-step explanation:

what determines the range of a function?​

Answers

Answer:

all possible y values

Step-by-step explanation:

any y value that goes in the function is in the range , an easier way to determine that would be using graphs.

The holcombe family went out to dinner the meal cost 54.65 the sales tax is 8 peecent the tip was 18 percent of the meal and tax there are 5 people in the holcomebe family what was the cost per person for the meal including sales tax and tip

Answers

Answer:

13.93

Step-by-step explanation:

Meal = 54.65

Sales tax = 8%

= 8/100 * 54.65 + 54.65

= 0.08 * 54.65 + 54.65

= 4.372 + 54.65

= 59.022

Tip = 18% of the meal and tax

= 18/100 * 59.022 + 59.022

= 0.18 * 59.022 + 59.022

= 10.62396 + 59.022

= 69.64596

Total people in the holcomebe family = 5

Cost of meal per person =

69.64596 / 5

= 13.929192

Approximately 13.93

N/8=3/4 what is the n?

Answers

Step-by-step explanation:

n/8=3/4

n=3×8/4

n=24/4

n=6

You are selling pizzas to raise money for a school field trip. Cheese pizza cost $8 and pepperoni pizza cost $9. You need to sell at least two of each kind of pizza, and you want to sell at least $180 worth of pizza. Write an inequality.

Answers

Answer:  $180 ≤ 8c + 9p

Can someone help me Find F(2)

Answers

Answer: F(2)=23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

f(x)= 4(2)^2 +7

f(x)= 4(4) +7

f(x)= 16+7

f(x) = 23

All of the following statements are true, except . . .

The product of a and c is negative.
The product of b and c is positive.
The product of b and 0 is 0.
The product of a and b is positive.

Answers

Answer:

The product of b and c is positive.

Step-by-step explanation:

b is negative as its less than 0

c is > 0 and is thus positive

multiply these would be negative result

Answer:

The product of b and c is positive.

Step-by-step explanation:

had this question

(7⋅7)⋅(2⋅5) what property is this

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

commutative property of multiplication

Write a compound inequality that represents the Fahrenheit temperatures between 50 degrees Celsius and 70 degrees Celsius.

Answers

Answer:

122 ≤ F ≤ 158

Step-by-step explanation:

First we convert the Celsius temperature to Fahrenheit

Mathematically, the formula to use is as follows;

F = 9/5C + 32

So 50 will be;

F = 9/5(50) + 32 = 90 + 32 = 122

70 will be

F = 9/5(70) + 32 = 126 + 32 = 158

So the inequality will be;

122 ≤ F ≤ 158

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

C THERE  YOU GO HERLRLP[PPPPPPP

A lumber company has 40,000
boards in stock. A construction
company bought 500 boards for
each of its construction projects. If
the lumber company has 12,000
boards left, how many construction
projects did the company have?

Answers

Answer:

12500

Step-by-step explanation:

we all know this is not high school math -_-

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