Logan wants to mix an 18% acid solution with a 48% acid solution to get 15L of a 38% acid solution. How many liters of the 18% solution and how many liters of the 48% solution should be mixed?

Answers

Answer 1

Answer:

5 gallons of 18% solution

10 gallons of 48% solution

Step-by-step explanation:

x = gallons of 18% solution

y = gallons of 48% solution

Total volume is:

x + y = 15

Total amount of fertilizer is:

0.18 x + 0.48 y = 0.38 (15)

Solve by substitution.

0.18 x + 0.48 (15 − x) = 0.38 (15)

0.18 x + 7.2 − 0.48 x = 5.7

0.3 x = 1.5

x = 5

y = 10


Related Questions

The data given below consists of the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12. Find the z-score corresponding to the median of school allergies. You may use your calculator to find the mean and standard deviation.

Answers

Answer:

z -score = 0.0459

Step-by-step explanation:

Given that:

the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12.

The objective is to find the z- score , but before we can do that , we need to determine the mean and the standard deviation of the sample.

Mean = sum of the sample/ total number of the sample

Mean = (3+9+ 5+ 5+ 14+ 10+ 5+ 11+ 9+ 6+ 1+ 8+ 10+ 7+ 9+13+ 18+ 9+ 8+11+ 9+ 7+ 6+ 14+ 12)/25

Mean = 219/25

Mean = 8.76

Standard deviation = [tex]\sqrt{\dfrac {\sum (x_i - \mu)^2}{N}}[/tex]

Mean (in order )= 1, 3,5,5,5,6,6,7,7,8,8,9,9,9,9,9,10,10,11,11,12,13,14,14,18)

Standard deviation = [tex]\sqrt{\dfrac { (8.76 - 1)^2}{25} + \dfrac { (8.76 - 3)^2}{25} +\dfrac { (8.76 - 5)^2}{25} +...+ \dfrac { (8.76 - 18)^2}{25} }[/tex]

Standard deviation = 5.2174

The standard z score formula is:

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

where X = median (13th observation ) = 9

[tex]z = \dfrac{9- 8.76}{5.2174}[/tex]

[tex]z = \dfrac{0.24}{5.2174}[/tex]

z -score = 0.0459

What is the solution of the linear equation? LaTeX: 5k\:+\:3.8\:=\:3k\:+\:95 k + 3.8 = 3 k + 9 Group of answer choices 26 6.4 .065 2.6

Answers

Answer:

[tex]k = 2.6[/tex]

Step-by-step explanation:

Given

[tex]5k + 3.8 = 3k + 9[/tex]

Required

Solve

[tex]5k + 3.8 = 3k + 9[/tex]

Collect like terms

[tex]5k -3k+ 3.8 = 3k -3k + 9[/tex]

[tex]2k+ 3.8 = 9[/tex]

Subtract 3.8 from both sides

[tex]2k+ 3.8 - 3.8= 9 - 3.8[/tex]

[tex]2k= 9 - 3.8[/tex]

[tex]2k = 5.2[/tex]

Divide through by 2

[tex]k = 5.2/2[/tex]

[tex]k = 2.6[/tex]

check to see whether 5 is a solution: 10 + 7g < 44

Answers

Answer:

Not a solution

Step-by-step explanation:

We want to check and see if 5 is a solution to the inequality. Therefore, we must substitute 5 into the inequality.

[tex]10+7g < 44[/tex]

Plug 5 in for g.

[tex]g=5[/tex]

[tex]10+7(5) < 44\\[/tex]

First, multiply 5 and 7.

[tex]10 + (7*5) < 44[/tex]

[tex]10 + 35 < 44[/tex]

Next, add 10 and 35.

[tex](10+35) < 44[/tex]

[tex]45 < 44[/tex]

This statement is not true. 45 is not less than 44. Therefore, 5 is not a solution.

Answer:

it is not a solution

Step-by-step explanation:

By replacing the letter g with a 5 the answer would be 45<44 which is not true

PART A: Suppose at another time you would like to use the same pancake recipe. You have plenty of all the ingredients except that you only have 3 eggs. Convert the recipe to use exactly 3 eggs. Blueberry Pancakes Recipe, makes 6 servings 2 cups flour 2 tablespoons baking powder 1 teaspoon salt 2 eggs 1 1/2 cups milk 1 1/4 cups blueberries Convert the recipe to use exactly 3 eggs. Hint: You may want to make use of the conversion factor 3/2. PART B: Suppose you would like to make pancakes according to the given recipe: Blueberry Pancakes Recipe, makes 6 servings 2 cups flour 2 tablespoons baking powder 1 teaspoon salt 2 eggs 1 1/2 cups milk 1 1/4 cups blueberries Convert the amount of each ingredient of the recipe to make 15 servings. Round any decimal answers to two places. Hint: You may want to make use of the conversion factor 15/6.

Answers

Answer:

  see the attachment

Step-by-step explanation:

The repetitive scaling is best handled by a spreadsheet.

Part A

We know the scale factor is 3/2, so we can multiply the number of servings and everything else by 3/2. The scaled recipe will make 9 servings.

__

Part B

Since 15 = 6 + 9, we could arrive at this recipe by adding the Part A recipe to the original recipe. Instead, our spreadsheet uses the suggested 15/6 multiplier.

The formula used is shown in the spreadsheet attachment. It is filled to the right and down to cover all of the recipes and ingredients.

1
1
A baseball weighs approximately
3
pound. A golf ball weighs about pound.
10
What expression can be used to find the combined weight of a baseball and a golf ball?​

Answers

Answer:

6 pounds 10 ounces

Step-by-step explanation:

I take this to mean "a baseball weighs approximately 3 pounds and a golf ball three pounds ten ounces."

Adding these two weights together, we get 6 pounds 10 ounces.

Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
On a coordinate plane, a line goes through points (0, 2) and (4, 0).
On a coordinate plane, a line goes through points (0, 2) and (2, 3).
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).

Answers

Answer:

f(x)=1/2x+2

Step-by-step explanation:

Using formula y=mx+b.

m is 0.5 or 1/2 as stated above

f(x)= 1/2x+b

If it were y=1/2x, it would intersect at 0,0 and we want 0,2

so b should be 2

therefore

Y=1/2x+2

or

f(x)=1/2x+2

Answer:

D

Step-by-step explanation:

Please give me the answer ASAP The average of 5 numbers is 7. If one of the five numbers is removed, the average of the four remaining numbers is 6. What is the value of the number that was removed Show Your Work

Answers

Answer:

The removed number is 11.

Step-by-step explanation:

Given that the average of 5 numbers is 7. So you have to find the total values of 5 numbers :

[tex]let \: x = total \: values[/tex]

[tex] \frac{x}{5} = 7[/tex]

[tex]x = 7 \times 5[/tex]

[tex]x = 35[/tex]

Assuming that the total values of 5 numbers is 35. Next, we have to find the removed number :

[tex]let \: y = removed \: number[/tex]

[tex] \frac{35 - y}{4} = 6[/tex]

[tex]35 - y = 6 \times 4[/tex]

[tex]35 - y = 24[/tex]

[tex]35 - 24 = y[/tex]

[tex]y = 11[/tex]

Okay, let's slightly generalize this

Average of [tex]n[/tex] numbers is [tex]a[/tex]

and then [tex]r[/tex] numbers are removed, and you're asked to find the sum of these [tex]r[/tex] numbers.

Solution:

If average of [tex]n[/tex] numbers is [tex]a[/tex] then the sum of all these numbers is [tex]n\cdot a[/tex]

Now we remove [tex]r[/tex] numbers, so we're left with [tex](n-r)[/tex] numbers. and their. average will be [tex]{\text{sum of these } (n-r) \text{ numbers} \over (n-r)}[/tex] let's call this new average [tex] a^{\prime}[/tex]

For simplicity, say, sum of these [tex]r[/tex] numbers, which are removed is denoted by [tex]x[/tex] .

so the new average is [tex]\frac{\text{Sum of } n \text{ numbers} - x}{n-r}=a^{\prime}[/tex]

or, [tex] \frac{n\cdot a -x}{n-r}=a^{\prime}[/tex]

Simplify the equation, and solve for [tex]x[/tex] to get,

[tex] x= n\cdot a -a^{\prime}(n-r)=n(a-a^{\prime})+ra^{\prime}[/tex]

Hope you understand it :)

please Factor 12n - 18.

Answers

Answer:

[tex]\large \boxed{6(2n-3)}[/tex]

Step-by-step explanation:

[tex]12n-18[/tex]

Factor out 6 from each term.

[tex]6(2n)+6(-3)[/tex]

Take 6 as a common factor.

[tex]6(2n-3)[/tex]

Answer:

[tex] \boxed{3(4n - 6)}[/tex]

Step-by-step explanation:

[tex] \mathsf{12n - 18}[/tex]

In such expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor

Factor out 3 from the expression

[tex] \mathsf{ = 3(4n - 6)}[/tex]

Hope I helped!

Best regards!

What is the midpoint of the segment below?



A.
(0, 0)

B.
(-1, 1)

C.
(0.5, 0.5)

D.
(0.5, -0.5)

Answers

Answer:

B(-1,1) so you can find that when you calculation for the basic principles

Evaluate. log (down)2 256 . Write a conclusion statement.

Answers

[tex] \Large{ \boxed{ \bf{ \color{blue}{Solution:}}}}[/tex]

By using the fact that,

When,

[tex] \large{ \sf{ {a}^{x} =b}}[/tex]

Then, With logarithm base a of a number b:

[tex] \large{ \sf{ log_{a}(b) = x}}[/tex]

☃️So, Let's solve ths question....

To FinD:

[tex] \large{ \sf{log_{2}(256) }}[/tex]

Let it be x,

[tex] \large{ \sf{ \longrightarrow{ log_{2}(256) = x}}}[/tex]

Proceeding further,

[tex] \large{ \sf{ \longrightarrow \: {2}^{x} = 256}}[/tex]

[tex] \large{ \sf{ \longrightarrow \: {2}^{x} = {2}^{8} }}[/tex]

Then, We have same base 2, So

[tex] \large{ \sf{ \longrightarrow \: x = 8}}[/tex]

Or,

➙ log₂(256) = log₁₀(256) / log₁₀(2)

➙ log₂(256) = 2.40823996531 / 0.301029995664

➙ log₂(256) = 8

☕️ Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

Answer:

256

Step-by-step explanation:

log     256 can most easily be found by rewriting 256 as a power of 2:

      2

2^5 * 2^3 = 32*8 = 256, so 2^ (5 + 3) = 2^8.    

Then we have:

  log     256

2        2             = 256

Alternatively, write:

log (down)2 256 = log (down)2 2^8 = 2*8 = 256

Note that your "log (down)^2 and the function y = 2^x are inverse functions that effectively cancel one another.

4x + 1 -5x =2x +4(x-5)

Answers

Answer:

x = 3

Step-by-step explanation:

To answer for x first distribute the 4 in the parenthesis

4x + 1 - 5x = 2x +4x - 20

Next add or subtract the x's

-x + 1 = 6x - 20

Now subtract 6x and 1 on both sides to get x on the left and the rest on the right

-7x = -21

Lastly, divide -7 on both sides

x = 3

Exact Form:
x
=
20
7
x
=
20
7
Decimal Form:
x
=
2.
¯¯¯¯¯¯¯¯¯¯¯¯
857142
x
=
Mixed Number Form:
x
=
2
6
7

Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9,-1)

Answers

Answer:

y = -9x - 82

Step-by-step explanation:

Line with slope m=-9 passing through A(x1, y1) =A(-9,-1)

y-y1 = m(x-x1)

Substitute values

y-(-1) = -9(x-(-9)

y+1 = -9x -81

y = -9x - 82

A 2-column table with 9 rows. The first column is labeled year with entries 1970, 1975, 1980, 1985, 1990, 1995, 2000, 2005, 2010. The second column is labeled pounds of trash with entries 3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44. The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use the statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth. Median = Mean =

Answers

Answer:

Median: 4.44

Mean: 4.11

On edge

Step-by-step explanation:

The mean and median of the data is

Mean ≈ 4.1 pounds

Median = 4.44

How to find mean and median of a data?

The ratio of the total number of observations to the sum of the observations is known as the mean.

The median is a value for an ordered data collection that has the same amount of observations on its left and right (in either ascending or descending order).

We have the following data:

3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44

So, Mean of the data is

= sum/number of observations

= (3.25 + 3.25 + 3.66 + 3.83 + 4.57 + 4.52 + 4.74 + 4.69 + 4.44) / 9

= 36.95 / 9

= 4.10555

Now, Arranging the data in ascending order gives

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

Here mid value is the 5th value from both end.

Thus, median of the data set = 4.44

Learn more about mean and median here:

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The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj. Identify the form.

[(P ≡ T) • (H • N)] ⊃ (T ⊃ ~S)
(T ⊃ ~S) ⊃ [(H ∨ E) ∨ R]
[(P ≡ T) • (H • N)] ⊃ [(H ∨ E) ∨ R]

a. MP
b. DS
c. MT
d. Conj
e. HS

Answers

Answer:

e. HS

Step-by-step explanation:

The argument:

[(P ≡ T) • (H • N)] ⊃ (T ⊃ ~S)

(T ⊃ ~S) ⊃ [(H ∨ E) ∨ R]

[(P ≡ T) • (H • N)] ⊃ [(H ∨ E) ∨ R]

is an instance of one of hypothetical syllogism (HS).

Hypothetical syllogism contains conditional statements for its premises.

Let

p = [(P ≡ T) • (H • N)]

q = (T ⊃ ~S)

r = [(H ∨ E) ∨ R]

The this can be interpreted as:

p ⊃ q

q ⊃ r

p ⊃ r

This interprets that:

If p then q

but if q then r

therefore if p then r

Thus, in logic HS is a valid argument form:

p → q

q → r

∴ p → r

Note that ⊃ symbol is used to symbolize implication relationships. This is used in conditional statements which are represented in the if...then... form.  For example p ⊃ q means: if p then q. So the type of Hypothetical syllogism used in this is conditional syllogism.

There are three parts of syllogism:

major premise

minor premise

conclusion

An example is:

If ABC is hardworking, then ABC will go to a good college.  

Major premise: ABC is hardworking.

Minor premise: Because ABC is hardworking , ABC will score well.

Conclusion: ABC will go to a good college.

Example of Hypothetical syllogism:

If AB is a CD, then EF is a GH

if WX is a YZ, then AB is a CD

therefore if WX is a YZ, then EF is a GH

This can be understood with the help of an example:

If you study the topic, then you will understand the topic.  

If you understand the topic, then you will pass the quiz.

Therefore, if you study the topic, then you will pass the quiz.

Find the distance of the translation.


Round your answer to the nearest hundredth.

Answers

where is the translation

the sum of two numbers is twenty-four. The second number is equal to twice the first number.

Answers

Is this the only information u have?

Answer:

The two numbers are: 8 and 16.

Step-by-step explanation:

Let the two unknown numbers be a and b.

The sum of the two number is 24. In other words:

[tex]a+b=24[/tex]

The second number is equal to twice the first number. In other words:

[tex]a=2b[/tex]

This is a system of equations. Solve by substitution:

[tex]a+b=24\\a=2b\\\\2b+b=24\\3b=24\\b=8\\a=2b\\a=2(8)=16[/tex]

If P is the midpoint of XY, XP = 8x - 2 and PY = 12x - 30, find the
value of x.

Answers

Answer:

x=7

Step-by-step explanation:

If P is the midpoint of XY, then XP = PY:

8x - 2 = 12x - 3012x -8x = 30 -24x = 28x= 28/4x= 7

Find the probability that when a couple has four ​children, at least one of them is a boy. ​(Assume that boys and girls are equally​ likely.)

Answers

Answer:

The probability that at least, one of the four children the couple has is a boy is 0.8.

Step-by-step explanation:

Given that boys and girls are equally likely, we want to find the probability of having at least, one boy, from four children..

Note that it is possible to have the following for 4 children:

1. 4 boys, 0 girls

2. 3 boys, 1 girl

3. 2 boys, 2 girls

4. 1 boy, 3 girls

5. 0 boys, 4 girls.

To have at least, one boy, out of the 5 options, only 4 is possible.

1. 4 boys, 0 girls.........YES

2. 3 boys, 1 girl ...........YES

3. 2 boys, 2 girls.........YES

4. 1 boy, 3 girls.............YES

5. 0 boys, 4 girls..........NO

The probability is therefore,

(Probability of event = 4) ÷ (Total possible outcome = 5)

P = 4/5 = 0.8

what is the least number to be added to 1500 to make it a perfect square? ​

Answers

Answer:

21

Step-by-step explanation:

√1500 = 38.7

Round to nearest whole number

≈39

39²-1500

= 1521 - 1500

= 21

Which is greater 9/20 or 60%

Answers

Answer:

60%

Step-by-step explanation:

9/20 is 45%

Answer:

60 %

Step-by-step explanation: If you divide 9/20, it equals to 0.45, makes it 45% and the number 45 in general is smaller than 60. Thus, 60% is greater than 9/20. I hope this helps.

PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE

Answers

Answer:

10/1 +54/-6

Step-by-step explanation:

Is this the answer?

I don’t think this is the right answer but I might believe it so:
And then subtract 10-9 which is 1
So 1 is your final answer.

Rewrite to make true: The sequence 8,8,8,8,8, ... is neither arithmetic or geometric.

Answers

Answer:

8,8,-8,-8,8, ... is neither arithmetic nor geometric

Step-by-step explanation:

8,8,-8,-8,8, ...

This sequence is neither arithmetic nor geometric

We could also write

8,8,8,8,8, ... this is geometric since we multiply by 1 each time

The blue dot is at what value on the number line?

Answers

Answer:

-19

Step-by-step explanation:

By looking at the 2 numbers provided, -10 and -4, you can work out that there is a gap of 6 numbers as(-4) - (-10) = 6

There are 2 intervals between -10 and -4, so each interval is

6/2 = 3

a gap of 3

This means the number to the left of -4 is -7, then -10 which works.

From there, you count how many intervals there is between -10 and the ?

There are 3 intervals, so you have to decrease -10 by -3x3 or -9

Therefore the ? is -19

Another way is to just count it directly

The number directly left of -10 is going to be -13, then -16 and finally -19

WILL GIVE BRAINILY 5 STARS AND THANKS FOR CORRECT ANSWER ITS PRETTY EASY If it is 3:00 p.m. and you move the minute hand of the clock 270 degrees clockwise, what time will it be?

Answers

Answer:

3:45 pm

Step-by-step explanation:

Every 90 degree = 15 minutes

270 degrees = 15 x 3 = 45 minutes

3:00 + 0:45 = 3:45 pm

Hope this helps!

Answer:

3:45 pm

Step-by-step explanation:

∆T = (270/360)° × 60 minutes

=45 mins

Time = 3hrs + 45 mins

3:45 pm

Find the Value of X 1. Solve for X algebraically. 2. Using complete sentences, describe your method for finding X.

Answers

1. X=40
2. The value of 75 degrees and 50 degrees must be the same as 85 degrees and x (40) degrees. Adding up 75 and 50 equals 125 degrees, so if you subtract 85 degrees from 125, you get 40 degrees.

The value of x using complete sentences is 40 degrees.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees. A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

The measure of angles 75,50 and 85

Now,

In triangle 1

50+75+y=180

y=180-125

y=55

In triangle 2

55+85+x=180

140+x=180

x=40

Therefore, by angle sum properties of triangle answer will be 40 degrees.

Learn more about the triangles;

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1 - Dada a função f(x)= -Ix²-5x+4I, determine o valor de função para x = -1. * 1 ponto a) -10 b) 10 c) 9 d) -9 e) -8

Answers

Option a) -10

[tex] f(x)=-|x^2-5x+4|[/tex]

put $x=-1$

$f(-1)=-|(-1)^2-5(-1)+4|$

$\implies f(-1)=-|1+5+4|=-|10|=10$

Answer:

option a

Step-by-step explanation:

Option a) -10

put $x=-1$

$f(-1)=-|(-1)^2-5(-1)+4|$

$\implies f(-1)=-|1+5+4|=-|10|=10$

Is the constant of proportionality in gallons per minute the same for every row? What does this say about the relationship of the amount of water to time?

Answers

Answer:

Yes, the constant of proportionality is the same for the three rows.

The relationship between amount of water (W) in terms of time (t) can be written as:

W = 16.5 t

Step-by-step explanation:

To find the constant of proportionality, find the number of gallons per minute for each row:

First row: 16.5 gal in 1 minute means: 16.5 Gal/min

Second row: 24.75 gallons in 1.5 minutes means 24.75/1.5 = 16.6 Gal/min (same proportionality as above)

Third row: 33 gallons in 2 minutes means: 33/2 = 16.5 Gal/min (again same proportionality)

Then: Yes, the constant of proportionality is the same for the three rows.

Therefore the amount (W) of water in gallons per time (t) in minutes can be written as the product of 16.5 times time (t):

W = 16.5 t

Answer:

The numbers prove that there is a proportional relationship between the gallons of water and the time in minutes. The bathtub fills at a constant rate.

Step-by-step explanation:

Solving a word problem with three unknowns using a linear...
Rachel, Trey, and Deshaun sent a total of 98 text messages during the weekend. Trey sent 4 times as many messages as Deshaun. Rachel sent 10 fewer
messages than Deshaun. How many messages did they each send?
Number of text messages Rachel sent:
221
Х
?

Answers

Answer:If Rachel texted 221 text messages, then Deshaun texted 231 text messages, and Trey texted 924 text messages.

Step-by-step explanation:

221+10=231, 321 times 4 equal 924

please help !! Solve –2.5x ≤ 25

Answers

Answer:

x ≥-10

Step-by-step explanation:

–2.5x ≤ 25

Divide each side by -2.5, remembering to flip the inequality

–2.5x/-2.5 ≥ 25 /-2.5

x ≥-10

Answer:

[tex]x\leq -10[/tex]

Step-by-step explanation:

[tex]-2.5x\leq 25[/tex]-----> Multiply by -1:

[tex]2.5x\geq -25[/tex]-----> Divide by 2.5:

[tex]x\geq -10[/tex]

Hope this helps!

i will give brainliest and 5 stars if you help ASAP​

Answers

Answer:

BC = 13.4

Step-by-step explanation:

its a law of cosines S-A-S

a² = b² + c² - 2bc cosA

a² = 12.6² + 4.6² - ( 2 * 12.6 * 4.6 * cos 90 )

a² = 179.92

a = sqrt (179.92)

a = 13.4

Other Questions
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