Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution. How many liters of each solution did she use? Use the blanks below to fill in your numerical answers.

Answers

Answer 1

Answer:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Step-by-step explanation:

Let us represent:

The number of liters for :

Acid solution a = x

Acid solution b = y

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.

x + y = 40 ...... Equation 1

x = 40 - y

25% × x + 50% × y = 45% × 40

0.25x + 0.5y = 18...... Equation 2

We substitute, 40 - y for x in Equation 2

0.25(40 - y)+ 0.5y = 18

10 - 0.25y + 0.5y = 18

- 0.25y + 0.5y = 18 - 10

0.25y = 8

y = 8/0.25

y = 32 Liters

Solving for x

x = 40 - y

x = 40 - 32

x = 8 Liters.

Hence:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters


Related Questions

Consider the following set of equations:

Equation A: y = 2x + 4
Equation B: y = 3x + 1

Which of the following is a step that can be used to find the solution to the set of equations?

2x + 4 = 3x + 1
2x = 3x + 4
2x + 4 = 3x
2x + 1 = 3x + 4

Answers

Answer: the first option

Step-by-step explanation:

If y=2x+4 and y also equals 3x+1, then by the transitive property, 2x+4=3x+1

It’s like saying if a=b and b=c, then a=c (that’s the transitive property)

How would I solve this problem?

Answers

Answer:

n = 6

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\[/tex]

[tex]\frac{(-4)^{10}}{(-4)^{n}}=(-4)^{2}*(-4)^{2} \\\\(-4)^{10-n}=(-4)^{2+2}\\\\(-4)^{10-n}=(-4)^{4}[/tex]

Compare the exponents,

10 - n = 4

10 = 4 +n

10 - 4 = n

6 = n

Two students are both working on the same problem: A box of laundry soap has 25% more soap in its
new box. The new box holds 2 kg. How much soap did the old box hold?

Answers

Answer:

The answer would be 1.5kg.

Step-by-step explanation:

2/.25=.50

.50x4=2

100%-25%=75%

75%=1.5kg

his recipe makes 6 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?
g flour
tsps baking powder
tbsps sugar
mL milk
eggs
tbsps oil

Answers

Times everything by 4.

The expression a ÷ 4 is equal to __ for a = 1.4

Answers

Answer:0.35

Step-by-step explanation:

answer =0.35

thx

hope this helsp

I really need help with this!!! If i get a correct answer ill make another question for more points. best answer gets brainliest

When solving for a quantity in a formula, what are the most important things to consider? What process do you follow in order to be sure that you've correctly solved for some quantity? Explain your reasoning, and give examples to help illustrate your ideas. Don't forget to respond to your peers' posts by reviewing what they've read and attempting to apply their ideas to other examples. Remember, your goal is to demonstrate whether you've made sense of their ideas or not, and to contribute to help everyone improve their explanations.

Answers

14


2
Pre-algebra

If the student is taking this branch of mathematics, they are expected to show their work because they're expected to solve specific problems in a certain way. Ex, when they're solving for a variable they're supposed to manually find the value of x by isolating it rather than entering the left and right hand of the equal sign in the calculator (in slope-intersect form) and finding the intersection point. If they only get the correct answer without showing work, we give them 2 points. 8 more points if work is shown.

Algebra

Students in algebra are expected to know how to get the correct answer. We don't care how they do it, as long as it's the correct answer.

PLS HELP ASAP 24 POINTS

Answers

Answer:

Area: 8

Perimeter:12

Step-by-step explanation:

Length: 4

Width: 2

Not sure what you're asking lol

Area: length x width --> 8

Perimeter: 2l x 2w --> 12

Answer:

the area is 8 it starts in 0 and ends in 4 and goes down to -2

Step-by-step explanation:

still what do u want us to answer

Lucas has a jar of coins that contains only nickels and dimes. He has 30 coins itſ the jar worth a
total of $2.10. Which system of equations could be used to find the number of nickels, n, and
the number of dimes, d, that Lucas has in the jar?
А
n+d = 2.10
5n+100 = 30
B
n+d = 30
5n-10d =2.10
с
n-d = 30
0.05n+0.10d = 2.10
D
n-d=2.10
0.050+ 0.100 = 30

Answers

Answer:

Step-by-step explanation:

The correct system of equations which is the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Lucas has a jar of coins that only contains nickels and dimes. He has 30 pennies in the jar, which is worth $2.10.

Let represents the number of nickels, n,

And the number of dimes, d, that Lucas has in the jar

The system of equations to find the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

This system can be used to solve for the values of n and d. The first equation represents the total number of coins, and the second equation represents the total value of the coins in the jar.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

Help qwq please please please please please!

Answers

The statement is =, equal
4.5 = 4.50 because 4.5 is the same u just need to add a 0.

help now pls thank bye lol

Answers

Answer: 4 roots

Step-by-step explanation: Just look at the highest power and that will tell you the amount of roots, unless there are imaginary roots

Solve for X

Log x - log 3 = log(x-2)

Please please help

Answers

Step-by-step explanation:

[tex]log \frac{a}{b} = loga - logb[/tex]

logx - log3 = log(x-2)

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

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

x = 3(x - 2)

x = .......

Which inequality is represented by the graph below?
++
+
-3 -2 -1 0 1 2 3 4 5
OI< -1
O >-1
O<1
O>

Answers

Answer:

your top choice is your answer with positive one on the front of the equation

I seriously hate my fat finger xd help

Answers

Answer:

They are equal to one another

Step-by-step explanation:

1/2 is equal to .5, so id you have 6.5 on one side and 6.5 on the other, they are equal.

Answer: =

6 [tex]\frac{1}{2}[/tex] = 50/100

=6.5

so 6.5 = 6 [tex]\frac{1}{2}[/tex]


For Exercises 1 and 2, use the figure at the rights
1. What is m 24 ifm 28 = 40°?
1.
A. 500
B. 180°
C. 70°
D. 40°

Answers

D. 40 degrees because angle 8 is the same as angle 4. angle 4 is 50 degrees

3x +7y=10 and I’m solving for y and I got multiple awnsers

Answers

Answer:

y = ~-0.43x + 1.43

Step-by-step explanation:

You are solving for Y.

3x + 7y = 10

7y = -3x + 10 ^ Subtraction Property of Equality

y = ~-0.43x + 1.43 ^ Division Property of Equality

Find the value of the variables I’ll mark the brainiest!

Answers

Answer:

x=15, y=12, z=20

Step-by-step explanation:

y is the geometric mean of the two segments it divides.

9 · 16 = y^2

y=12

Use the pythagorean theorem to find x and z.

16^2 + 12^2 = z^2

z^2 = 400

z=20

9^2 + 12^2 = x^2

x^2 = 225

x=15

Which is the same as 0.25?

Answers

Answer:

[tex]\frac{25}{100}[/tex]

Step-by-step explanation:

Hey there !!!!!

to find the correct answer to this question  you just divide :

the options are  25/10 , 2/5 , 10 / 25 and 25/100

so, you divide each one of them :

25/10 = 25 ÷ 10

2/5 = 2 ÷ 5

10/25 = 10÷25

25/100 = 25÷100

if you divide each one of them:

25 ÷ 10 = 2.5

2 ÷ 5 = 0.4

10÷25 = 0.4

25÷100 = 0.25

therefore:

25/100 is the answer

have a wonderful day

y = 40 (1.25) Does this equation represent exponential growth
or
decay?

Answers

Answer:

Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

Step-by-step explanation:

Answer:

exponential growth

Step-by-step explanation:

help plsssssss with calculations ill give brainlist

Answers

Answer:

ill try to answer that has soon has am done with these one

Step-by-step explanation:

Answer :

ill try to answer that has soon has

am done with these one

Plz help me in this question

Answers

Answer:

Step-by-step explanation:

A is the answer

hope that help

mark me brill

How is (5,9) different than (-5,9)

Answers

Because one is negative and one is positive

Answer:

(5,9) is a reflection of (-5,9). One of the x values are positive while the other is negative.

how would I simplify this?
8/13 ln 3 = ln h/12

Answers

Answer:

Step-by-step explanation:

I'll assume that you meant

(8/13) ln 3 = ln h/12

Applying rules of logs, we get:

(8/13) ln 3 = ln h - ln 12

                = ln h - ln 3 - ln 4         <=  because ln b*c = ln b + ln c

Then (8/13) ln 3 + ln 3 = ln h - ln 4, or

(21/13) ln 3 + ln 4 = ln h  

3^(21/13) * 4 = h                 <=  because ln b*c = ln b + ln c

Please help I’m very tired, if you don’t know or your not sure either check the anwser or don’t anwser qwq I really need to get 100%

Answers

I’m pretty sure that answer is -14+6=-8

Answer:

would it be -8 = 6 - 14

Step-by-step explanation:

Hopes it helps

- 8 = 6 + -14

can you help me please ​

Answers

Answer:

sine 23 = x/21

Multiply both sides by 21

21 x sine 23 = x

Now, use a calculator and find the answer of the 21 times the sine of 23:

x = -17.7706284876

someone help work out the mean!!

Answers

40/5= 8 is the mean..........

Answer:

8.2

Step-by-step explanation:

PLS JUST GIVE ME ALL THE ANSWERS TO THIS WORKSHEET I BEG U ANYONEEE

Answers

Ask your friends because I don’t know

A translation is applied to the square formed by the points A (-3, – 4), B (-3, 5). C (6,5), and D (6, - 4). The
image is the square that has vertices A' (-3, -6), B' (-3, 3). C' (6, 3) and D' (6, -6).

Answers

Answer:

they have translated down by 2(vertically)

Step-by-step explanation:

if you look at all the y values you will see that they all have been subtracted by 2. meaning that it translated 2 points down.

What is the value of 2x^2-2(x+4) when x=5


A -32
B 24
C 32
D 40

Answers

The answers is C- 32

Answer:

32

Step-by-step explanation:

which number is prime 49 53 51 or 55

Answers

Answer:

The prime number is 53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

we can see 53 is the only prime number since its greater than one and only has 2 factors 1 and itself.So this is why 53 is the prime number.

Give 5 Examples of Linear Equation in Two Variables​

Answers

Dang bro I got no clue

Answer:

Some examples of linear equations in two variables are: 1.2s + 3t = 5, p + 4q = 7, πu + 5v = 9 and 3 = 2 x – 7y. Note that you can put these equations in the form 1.2s + 3t – 5 = 0, p + 4q – 7 = 0, πu + 5v – 9 = 0 and 2 x – 7y – 3 = 0, respectively.

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