A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is
95% salt. She wants to obtain 60 ounces of a mixture that is 85% salt. How many ounces of each solution should she use?

Answers

Answer 1

we know A is 45% salt, so the amount of salt in A is (45/100)*A or 0.45A.

likewise we know that B is 95% salt, so the salt amount in it is (95/100)*B or 0.95B.

[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.45&0.45x\\ B&y&0.95&0.95y\\ \cline{2-4}&\\ mixture&60&0.85&51 \end{array}~\hfill \begin{cases} x+y=60\\ 0.45x+0.95y=51\\[-0.5em] \hrulefill\\ y = 60 -x \end{cases}[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{0.45x+0.95(60-x) = 51}\implies 0.45x+57-0.95x=51 \\\\\\ 0.45x-0.95x=-6\implies -0.5x=-6\implies x = \cfrac{-6}{-0.5} \\\\\\ \boxed{x = 12}~\hfill \stackrel{\textit{we know that}}{y = 60 -x}\implies \boxed{y=48}[/tex]


Related Questions

Please take a look at the picture

Answers

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

B is the answer to this question.

brief statement Bosnian Crisis.

Answers

Answer:

The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.

Step-by-step explanation:

hope this helps

Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla?

Answers

Answer:

1/4

Step-by-step explanation:

Solution: as shown in the figure,

2/8 = 1/4

Answer:

3

Step-by-step explanation:

i thing


How long is a distance of 8 km if measured on a map with a scale of 1:50,000?

Answers

Answer: 400,00 km

Step-by-step explanation: 1:50,000 = 8:x

8 * 50,000 = 400,000

So, 8km on the map is 400,000 km in real life.

Would appreciate brainly <3

Eleven more than five times a number is equal to the difference between −38 and twice the number. Find the number.

Answers

Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

what is 282.74 in terms of pi

Answers

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

4(x - 4) + 2x -10 and what the answer

Answers

Answer:

Expression: 6x - 26. Equation: 3

Step-by-step explanation:

EXPRESSION

4x - 16 + 2x - 10

6x - 26

EQUATION 1

4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)

4x = 2x + 6

2x = 6

x = 3

EQUATION 2

4x - 16 + 2x = - 10

6x - 16=  -10

6x = 6

x = 1

whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!

evaluate: (5/6 + 2/3) - (3/4 + 1/12)

answer as a fraction in simplest form

Answers

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer

Therefore, Evaluated form is 2/3.

Read more:

Similar questions

Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...

https://brainly.com/question/2283953?referrer

Rewrite 2/11 and 1/7 so that they have a common denominator

Answers

Answer:its 22 and 7...........................

Step-by-step explanation:

Somebody help me with these worksheets pls


(Please answer properly)

Answers

This is an interesting problem.

But first, let us define what are the three possible cases :

A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.

Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.

Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7

where a = 1 and b = - 7.

Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.

When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.

Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.

When this is the case, the graphs of the lines in the system cross at exactly one point.

Inconsistent : A system of equation is Inconsistent if it haas no solutions.

When this is the case, the graphs of the lines in the system do not intersect, meaning they are parallel.

Now, with those definitions above, we can work on our problem :

1. x + y = - 7 and x + y = - 4

Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent

2. Same line : consistent dependent

3. Parallel Lines : Inconsistent

4. Lines cross at exactly one point :Consistent Independent

5. Lines cross at exactly one point : Consistent Independent.

You can see the graph of each systems in the pictures attached below.

Good luck, you will succeed :)

5.
Use the quadratic model y = -4x^2 - 3x + 4 to predict y if x equals 5.

A. -89

B. -111

C. -411

D. -51

Answers

You should try C I’m not sure but try I guess!

Answer:

B. -111

Step-by-step explanation:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -111

...............................................................................................................................................

Please, write -4x^2 (not 04x2).

Then the quadratic model is y = -4x^2 - 3x + 4.

Now substitute 5 for x:  y(5) = -4 (5)^2 - 3(5) + 4

Simplifying,                     y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.

simplify √6+3√6 please and thank you

Answers

Answer:

4√6

Step-by-step explanation:

√6 is a common factor on either side of the plus sign.

Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.

√6(1 + 3)            Combine the like terms in the brackets.

√6(4)   or

4√6

Answer:

Exact Form: 4√6

Decimal Form: 9.79795897...

Step-by-step explanation:

Please vote brainliest!

HELP PLEASE I WILL MARK BRAINIEST WHEN ABLE TO

An expression is shown below:

the square root of 18 plus the square root of 2

Which statement is true about the expression?

It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 3 times the square root of 2.
It is irrational and equal to 3 times the square root of 2.

Answers

Answer: It is irrational and equal to 3 times the square root of 2.

Answer:

It is irrational and equal to 3 times the square root of 2.

Step-by-step explanation:

just like the other guy said

A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?

Answers

Answer:

24000000

(might not be correct)

Step-by-step explanation:

might not be right but ill try:

ten digits: 10

4times:10x10x10x10=10000

times a letter:24 letters= 10000x24=240000

time three digits: 10x10x10=100x240000=24000000

The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.

What is permutation and combination?

Permutation and combination are the ways of counting.

Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.

Given that,

The hotel reservation number contains 4 digits, 1 letter and then 3 digits.

Now, there are two possible cases for the given problem as follows,

Case 1 : The digits are repeating.

Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,

10 × 10 × 10 × 10 × 26 × 10 × 10 × 10

= 260000000

Case 2 : The digits are not repeating.

Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.

And, for 26 letters it is ²⁶P₁.

Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,

10 × 9 × 8 × 7 × 6 × 5 × 4 × 26

= 604800

Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.

To know more about permutation and combination click on,

https://brainly.com/question/13387529

#SPJ2

QUICKEST 100 POINTS EVER!

Answers

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² = (5x² + 3x + 2)(5x² + 3x + 2) = 5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 = 25x⁴ + 30x³ + 29x² + 12x + 4

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

If f(3) = 24, what is f-1 (24)?

Answers

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

geometry B: fill in the blank

Answers

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.

C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= 1/6(31.4) ≈5.2 units

HELP NO LINKS THOUGH!!!!!!!!

Answers

[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]

[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]

[tex]\sf \longmapsto \frac{16}{21} [/tex]

Therefore, the answer is :

[tex]\sf \frac{16}{21} [/tex]

[tex] = > 1 \frac{1}{3} \div 1 \frac{3}{4} [/tex][tex] = > \frac{4}{3} \div \frac{7}{4} [/tex][tex] = > \frac{4}{3} \times \frac{4}{7} [/tex][tex] = > \frac{16}{21} [/tex]

Find the value of X that makes lines L and M parallel.

Answers

Answer:

x = 11

Step-by-step explanation:

    If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

[tex]2x+1=23~(Given)\\\\2x+1-1=23-1~(Subract~1~on~both~sides)\\\\2x=22~(Simplify)\\\\\frac{2x}{2}=\frac{22}{2}~(Divide~2~on~both~sides)\\\\x=11~(Simplify)[/tex]

lol mine looks different

Help pleaseeeeeeee asapplpl

Answers

Answer:

the graph is incorrect first u correct this

Elliot ran 4 laps in 209.2 seconds. If he ran at the same
speed for each lap, what was his time for each lap?

Answers

Answer: 52.3 seconds

Step-by-step explanation:

209.2 divided by 4

which is 52.3 seconds

What is 6/9 divided by 1/3

Answers

Answer:

2

Step-by-step explanation:

6/9÷1/3

Keep Change Flip

6/9 x 3/1

Multiply.

6/3

=2

Hope this helps :)

Answer:

2

Step-by-step explanation:

we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2

Add and simplify.
[tex]\frac{7}{27}\\\frac{1}{6}[/tex]

Answers

7
27
+
1
6
=
7
27
+
1
6
=
14
54
+
9
54
=
14
+
9
54
=
23
54

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

7/27 + 1/6 = 23/54

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.

7/27 • 2 = 14/54

1/6 • 9 = 9/54.

14+9=23 so the answer is 23/54 because it cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

The graph below represents the function f(x) and the translated function g(x) .

If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?



Answers

Answer:  D.  [tex]g(x) = (x-b)^2[/tex]

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]

Which is the initial value of the function represented by this graph?



1
5
6
7

Answers

Which is the initial value of the function represented by this graph?

1

5

6

7

answer : 1

Prove <5 is supplementary to <6 using theorems.

Answers

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

Select the correct answer. Given the domain {-4,0,5), what is the range for the relation 12x + 6y= 247 OA (-12, 4, 6) ОВ. 12,4,9) Oc. 12, 4, 6) OD. 44, 4, 14) I'll give brainliest!​

Answers

The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ 12x + 6y = 247

Now,

We have;

The domain is, {-4,0,5)

Hence, The range of the function is find as;

Put x = - 4;

⇒ 12x + 6y = 247

⇒ 12 × - 4 + 6y = 247

⇒ - 48 + 6y = 247

⇒ 6y = 247 + 48

⇒ 6y = 295

⇒ y = 49.17

Put x = 0;

⇒ 12x + 6y = 247

⇒ 0 + 6y = 247

⇒ 6y = 247

⇒ y = 41.17

Put x = 5;

⇒ 12x + 6y = 247

⇒ 60 + 6y = 247

⇒ 6y = 247 - 60

⇒ 6y = 187

⇒ y = 31.17

Thus, The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

What is the slope of the line?

Answers

Answer:

rise is 4 and run is 1 so 4/1 or 4

the answer is b

Hope This Helps!!!

At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?

Answers

Answer:

a

Step-by-step explanation:

increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5

Answers

Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.

Other Questions
-Descripcin de las rutinas de losdiferentes perfiles Plz helpMe quick.......... PLEASE HELP!! Choose any one of the groups not included in the process of Confederation. What do you think may have been the group's point of view about Confederation? (canada) What are the differs connotation from denotation in the theses wordCheap/ inexpensive What is the area of this tile 2. If a vehicle with four wheels is traveling in a linear path through soft dirt, how many and which tires would you expect to leave tire track impressions A firm using paid, non-personal communication by identified sponsors through various media has chosen to use _ to promote its products. What opinion do the other artisans now have of bottom since they think he is lost? I would appreciate it if someone could give me the answers to these questions THX I need help asap I dont get it someone give me the answers please Which statements about Egyptian symbols are true? Choose all answers that are correct. A The sun disk with rays ending in hands symbolizes the sun god and protection. B The uraeus (royal cobra) and vulture symbolize the pharaoh's rule of Upper and Lower Egypt. C The vulture symbolizes goodness overcoming evil. D The false braided beard symbolizes the god of war. why are carbon atoms important in organic molecules bond angle of SO2 H2S SO3 The formula d=rt gives the distance traveled in time t at rate r. A delivery truck drives for 1.5 hours and travels 76 miles. What is the average speed of the truck?A. 38 miles per hourB. 50.7 miles per hourC. 74.5 miles per hourD. 114 per hour.Please help fast, this test is already late and I'm super stuck. Thanks! Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation Why did the Weimar Republic collapse?Group of answer choicesThe government had to take out extensive loans.Many individuals were out of work because of the war.Significant financial resources were given to another country.Citizens felt that the government did not serve their needs. Evaluate the expression below when a = 5 and b = 2: a (10b - 2a). Which sentence from the passage reflects acentral concern of the narrator?nts of humanity.n, I thoughtelusive world thatndid architectureswn time, and yet,en flow up the. Even through they mind came1. "Even through the veil of my confusion theearth seemed very fair." (Paragraph 4)0 2. "Presently I thought what a fool I was to getwet." (Paragraph 7)3. "What if in this interval the race had lost itsmanliness, and had developed into somethinginhuman, unsympathetic, and overwhelminglypowerful?" (Paragraph 8)ome substance intraveled at a highspeak,tices of interveningof myself, moleculemy atoms intoCofound chemicalt, and blow myselfossibleurred to me againid cheerfully4. "Already I saw other vast shapes--hugebuildings with intricate parapets and tallcolumns, with a wooded hillside dimlycreeping in upon me through the lesseningstorm." (Paragraph 9) an argumentative essay on the title boys should be made to do house chores Sharon Ravitch ran into what problem while studying a professional development program in her own school