A scientist needs 80 liters of a 30% solution of alcohol. She has a 20% solution and a 60% solution available. How many liters of the 20% solution and how many liters of the 60% solution should she mix to make the 30% solution?

Answers

Answer 1

Answer:

60 liters of 20% solution & 20 liters of 60% solution

Step-by-step explanation:

80*0.3=.2x+0.6(80-x)

24=0.2x+48-0.6x

-24=0.2x-0.6x

-24=0.4x

24=0.4x

60=x

Hope this helps!! This is step by step btw!


Related Questions

Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?

Answers

Answer:

$90

Step-by-step explanation:

70-25 = 45

45x2 = 90

A baby is 18in long at birth and 27 in long in ten months

Answers

Answer:

27-18 = 9, baby grew 9 inches

Step-by-step explanation:

The length of the baby will increase 0.9 inch per month.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problem

Given is that a baby is 18in long at birth and 27in long in ten months

At birth, the length of baby = 18 inches.

After 10 months, the length of the baby = 27 inches.

Increase in length per month will be -

r = (27 - 18)/(10 - 0)

r = 9/10

r = 0.9 inch

Therefore, the length of the baby will increase 0.9 inch per month.

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Which of these shows the following expression factored completely? 6x2 – 13x +5 ​

Answers

Answer:

B

Step-by-step explanation:

That's my guess.

Answer:

C

Step-by-step explanation:

4. REINFORCE A recipe for lemonade call for 3 lemons for every 2 cups of water.
Create a table of equivalent ratios. Find at least one ratio where one of the quan
a fraction or decimal.
Lemons
Cups of water
a.
b.
c.
d.
e.

Answers

Answer:

PLZ MARK BRAINLIEST!

The answer is below...Can you farther explain on the part "Find at least one ratio where one of the quan

a fraction or decimal."

Step-by-step explanation:

LEMONS .         CUPS

3              :               2 .  3/2

6            :                 4 .  6/4

9              :               6     9/6

12           :                 8 .    12/8

15        :                   10 .    15/10

Please Help ASAP IT'S DUE TODAY!!

Answers

140 ÷ 20 = 7

7 × 15 = 105

24

6 1/2

24 - 6(2x-4) = 8x - 32

Answers

Answer:

X = 4

Step-by-step explanation:

24 - 12x + 24 = 8x - 32

48 - 12x = 8x - 32

     +12x.   +12x

48 = 20x - 32

+32.         +32

80 = 20x

divide both sides by 20

x = 4

Solve this equation for y.
3x - 5y = 12

Answers

Answer: y= 3/5x -12/5

Cassie can drive 165 miles in 3 hour's. if she is driving at a constant speed, how many miles per hour is she driving​

Answers

Answer:

55mph

Step-by-step explanation:

Answer:

the answer would be 55mph

Step-by-step explanation:

put 165 as the numerator and 3 as the denominator then divide the numerator by the denominator and you would get 55mph

Does this help??

-3/-11 + 5/9 find the sum

Answers

I think the answer is .8282
The sum will be 82/99 or also in decimal form 0.82

what is an equation in slope-intercept form of the line that passes through (6,10) and is parallel to the graph of y=1/3x-1 ?

Answers

the answer is: y=1/3x+8

Solve for x (2x-8) (9x-10)

Answers

Answer

x+3=17

Step-by-step explanation:

Answer: 18x2 -92x+ 80

Step-by-step explanation:

I need to find the slope.​

Answers

Answer:

The slope is 3/2

Answer :
3/2

Rise 3
Run 2

1. How many terms are in 7y-2+9x-4?

Answers

Answer:

2 and they are x and y

Step-by-step explanation:

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

2 units
6 units
Square root of 12 units
Square root of 20 units

Answers

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

Plzzzzz HELPPP WITH DIS LOOK AT THE PHOTO

Answers

Vanessa can make 5 portions


Draw 3 rows of 10 oranges.


Answers

we cannot help you with that, sorry

Answer:

what?

how do i draw on here

Step-by-step explanation:

Roman watched 2/5 of a movie on Monday and 1/3 on Tuesday. What fraction of the movie does he still have left to watch?

Answers

Answer:

4/15

Step-by-step explanation:

Make both fractions have equal denominators:

2 x3      ----->   6/15

5 x3

                                            6/15 + 5/15 = 11/15 --->  15/15 - 11/15 = 4/15

1 x5      ------>  5/15

3 x5

You randomly selected one card from a 52-card desk. Find the probability of selecting a black nine or black three

Answers

The answer is one and 13

Which choice represents the expression below as a single exponential
expression?
7^3•7^6

Answers

If you are adding them together, the answer would be 7^9

If you are solving the problem, the answer would be 40,353,607

Suppose a random sample of n=330 tenneagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 252 stated that they do use social media. Find the sample proportion of tenneagers 13 to 17 years of age who use social media​

Answers

Answer:

what is

Step-by-step explanation:

The sample proportion of the teenagers 13 to 17 years of age who use social media​ is 0.236.

What is a Sample Proportion?

Sample proportion is defined as the proportion of something from a given sample which has a particular characteristic.

The formula to calculate the sample proportion is,

p = Number of successes in a particular sample / Sample size

Given that,

a random sample of n = 330 teenagers 13 to 17 years of age was asked if they use social media.

Sample size = 330

Of those surveyed, 252 stated that they do use social media.

We have to find the proportion of teenagers 13 to 17 years of age who use social media​.

Number of failures = 252

Number of successes = 330 - 252 = 78

Sample proportion = 78 / 330 = 0.236

Hence the sample proportion is 0.236.

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Michael wants to purchase a jeep. The purchase price of the Jeep is $37,000. The
dealership will allow him to pay cash or finance the Jeep with a down payment of
$5,000.00 and 60 monthly payments of $625.00. Michael chose to finance the jeep.
Answer the following questions.
a) What is the amount financed?
b) What is the total amount of monthly payments?
C} What is the amount of the finance charge?

Answers

Answer:

A) $32,000 B) $37,500 C) $5,500

Step-by-step explanation:

Price of jeep: $37,000

Michael uses $5,000 of his own money toward that total $37,000-$5,000= $32,000

Monthly payments $625.00×60months=$37,500

After paying $5,000 of his own money, & bringing theamount owed to $32,000. Michael still has to pay back $37,500. Making, the finance chardge $5,500. ($37,500-$32,000= $5,500)

Amount financed =  $32000, total amount of monthly payment = $37500 and total amount of the finance charge = $5500.

What is dealership finance ?

"Dealer financing is a type of loan that is originated by a retailer to its customers and then sold to a bank or other third-party financial institution. The bank purchases these loans at a discount and then collects principle and interest payments from the borrower. This is also called an indirect loan."

According to the question,

Given,

Price of jeep = $37000

Down payment = $5000

Total number of monthly payment = 60

Amount to be paid after down payment

= $37000 - $5000

= $32000                                                  ____( 1 )

Amount paid in Monthly payments = $625.00 × 60months

                                                          = $37500          ____( 2 )

From ( 1 ) and ( 2 ) we get,

Finance charge amount = Total monthly amount - Total amount financed

                                        = $37500 - $32000                                    

                                        = $5500

Hence, amount financed , total amount monthly payment and total amount of the finance charge is $32000 , $37500 and $5500.

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Which of the following expressions is equivalent to the one below? 7(x + 7)


A.
7 + (x + 7)
B.
7x + 49
C.
7x + 7
D.
x + 49

Answers

B
Let me know if this helps

While on vacation, Jorge and Jackie traveled to Bryce Canyon National Park in Utah. They were impressed by the different elevations at the viewpoints along the road. The graph describes the elevations for several viewpoints in terms of the time since they entered the park. The graph represents a function E(t). Part A:Describe why the graph represents a function. Part B:Identify the domain in range of the function.

Answers

Answer:

timeline

Step-by-step explanation:

the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a

The domain and range provides a definition for a graph

Part A: The graph represents a function because a vertical line drawn from the horizontal crosses the graph only once

Part B. Domain: 0 ≤ t ≤ 30

Range: 7000 < f(t) ≤ 9,300

Reason:

Part A: The reason why the graph represents a function is that a function is a one to one relationship that maps each element of the set known as the domain to exactly one element of the set which is the range of the function

Therefore, a vertical line drawn on the graph of a function crosses the graph only once, such that one input cannot have two outputs

Which gives that the graph is a function, given that all the vertical lines from the horizontal axis crosses the graph f(t) at exactly one point

Part B

Domain:

The domain of a function are the possible input values of the function

In the graph, the possible values of the time, t are; 0 ≤ t ≤ 30

The domain of the function is 0 ≤ t ≤ 30

Range:

The range of a function are the possible output values of the function

The range of the given function f(t) are; from approximately 7,000 feet to approximately 9,000 feet, which gives;

The range of the function: 7000 < f(t) ≤ 9,300

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Describe the graph of x ≤ −2

Answers

I hope it is helpful for you

n= 101
p= 0.24
p(0.20 < p <0.30) =

Answers

Answer:

N = 101

p = 0.24

p ( 0.2 ) < p < 0.3

Step-by-step explanation:

Given 1 in =2.54 cm , how many centimeters are in a foot ?

Answers

Answer:

30.48

Step-by-step explanation:

Look up foot to centimeter  :)

Answer:

30.48

Step-by-step explanation:

You take 2.54 and multiply it by the number of inches in a foot- 12.

Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form

Answers

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

What is the unit rate if the candy is $7.80 for 2 pounds?

Answers

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy        ÷ 2

________

2 pounds ÷ 2

=  

3.9 candy

_______

1 pound

=  

3.9 candy

_______

pound

= 3.9 candy per pound

Drag the phrases into the box to match each expression.

Answers

You need to show a picture

Answer:

theres no image

Step-by-step explanation:

Anyone know how to find the missing length ?

Answers

Answer:

so i'm assuming you'd use Pythagoras:

so 15^2-12^2=81

square root it=9 which is I

to find T we do 41^2-9^2=1600

square root that is 40 so T=40

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