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

what is the value of h in the triangle​

Answers

Answer:

I think the answer is 7.2

Yuri has 9 teaspoons of sugar. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of sugar does Yuri have?

Answers

gggggggggggggggggggggggggggggggggggggggggggggggg

In the diagram, DC bisects

Answers

We are given that ∠BDA is bisected

this means that ∠BDC = ∠ADC

Finding x :

Since ∠BDC = ∠ADC:

7x - 19 = 9x - 37

2x = 18

x = 9

Finding ∠ADC:

We are given that ∠ADC = 9x - 37

now that we know that x = 9, replacing x:

∠ADC = 9(9)-  37

∠ADC = 44°

What is the slope m in the equation y = -2x + 5

Answers

Answer:

m = -2

General Formulas and Concepts:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define function

y = -2x + 5

Step 2: Break function

Slope m = -2

y-intercept (0, 5)

A bus left town K
at 7 :15 am and at
2and a half hrs reached town T at
a distance of 2ookm /hr
It continued to town M
and reached to town
at, 11 45am
when did it reach to
town T?

Answers

Answer:

2 and half hour they will at T town

Answer:

two and half hour they will take to reach town .

Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?

Answers

Answer:

$177.93

Step-by-step explanation:

Answer:

The check is 177.93$

Step-by-step explanation:

I did 25.64+152.29= 177.93

U can check it by doing -25.64+177.93

What is J/-12 > 9??​

Answers

Answer:

j > - 108

Step-by-step explanation:

Step 1:

j / - 12 > 9          Equation

Step 2:

j > 9 × - 12         Multiply - 12 on both sides

Answer:

j > - 108

Hope This Helps :)

Answer:

j<−108

Step-by-step explanation:

j

−12

>9

Step 1: Simplify both sides of the inequality.

−1

12

j>9

Step 2: Multiply both sides by 12/(-1).

(

12

−1

)*(

−1

12

j)>(

12

−1

)*(9)

j<−108

Answer:

j<−108

A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?

Answers

Answer:

3/5=360 mph 11/12=550 4/15=160

Step-by-step explanation:

Please answer this question fast

Answers

ddddddddddddddAnswer:

Step-by-step explanation:

fffffffffff

Sidiciejenxjxjjzmwnajxicc

HELP ASAP WILL GIVE BRAINLIEST! Thanks

Answers

Answer:

I believe it's D

Step-by-step explanation:

Consider the transformations performed on quadrilateral WXYZ.
. Translate 7 units to the right and 4 units up.
• Then, rotate 180° about the origin.

Answers

Do yk the answer ? Now ?

Answer:

(-4, -5)

Step-by-step explanation:

Point Z has coordinates: (-3, 1)

Translate 7 units to the right and 4 units up: (x + 7, y + 4)

Z(-3, 1) → Z'(-3 + 7, 1 + 4) = (4, 5)

Then, rotate 180° about the origin: (x, y) → (-x, -y)

Z'(4, 5) → Z''(-4, -5)

I need help pleaseeeeeeee

Answers

Answer:

T = 7M/N

Step-by-step explanation:

Cross multiply

NT = 7M

Divide by N

NT/N = 7M/N

T = 7M/N

Choose the formula for the volume of a cone V = mrh written in terms of h.

Answers

Answer:

Choose the formula for the volume of a cone V = mrh written in terms of h.

mrh=V
(Isolate h by itself by dividing)
h=V/mr

1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable move? b.) What would her new equation be?​

Answers

9514 1404 393

Answer:

yes2x +30 = 25

Step-by-step explanation:

Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.

Her new equation would be ...

  2x +20 +10 = 15 +10

  2x +30 = 25 . . . . the result of Grace's move

_____

Additional comment

There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...

  2x = -5

  x +10 = 7.5

The difference of 9 and three times a number is that number increased by 5. Find the number. just give me the equation

Answers

Answer:

9-3n=n+5

Step-by-step explanation:

n= the number

Help
Me I need the answer

Answers

Answer:

[tex]f(x)=\frac{x^{2} +4x+3}{x^{2} -4x+4}[/tex]

Step-by-step explanation:

The roots are x=-1 and x=-3, so (x+1) = 0 or (x+3) = 0.  As long as one is 0, the product is 0.

(x+1)(x+3) = 0

x^{2} +4x+3=0

So the numerator function is x^{2} +4x+3=0

1/3 as a decimal and percent please answer !!

Answers

Answer:

decimal: .3333(repeatin)

percent:33.333333...%

Step-by-step explanation:

hope this helpss

have a good night

nd good luck w thiss

Answer:

Decimal: .33

Percent: 33%

Step-by-step explanation:

To get the decimal, you divide the top number by the bottom number. So you divide 1 by 3, which equals .33

To get the percentage, you move the deciaml back twice.

.33 -> 3.3 -> 33.=33%

Find the slope of the line through the given points.
(8,48) and (16, 24)

Answers

Answer:

-3

Step-by-step explanation:

48-24 = 24

8-16 = -8

24/-8 = -3

Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =

Answers

Answer:

X= -1/2   X= 7

Answer:

lesser x= -5   Greater X= 5

Step-by-step explanation:

−x  

2

−8

−x  

2

 

x  

2

 

​  

 

=−33

=−25

=25

​  

 

Hint #22 / 3

Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:

\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}  

x  

2

 

​  

 

x

​  

 

=  

25

​  

 

=±5

​  

 

Hint #33 / 3

In conclusion,

\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}  

lesser x

greater x

​  

 

=−5

=5

What is the slop of this table?Help fast!

Answers

The slope is 4 your adding 4 each time

what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x

Answers

I’m pretty sure the answer is 2x

Answer:

b

Step-by-step explanation:

I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day

Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.

Answers

9514 1400 393

Answer:

  83.73 in³

Step-by-step explanation:

It is appropriate to use the formula for the volume of a cone:

  V = (1/3)πr²h

  V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³

The volume of the cone is about 83.73 in³.

Given that f(x)= [tex]\frac{x^{2}-3 }{2}[/tex]
A) Find [tex]f^{-1}(x)[/tex]
B) Find [tex]f^{-1} (11)[/tex]
Separate your 2 answers for part B with a comma.
I've solved [tex]f^{-1}(x)[/tex], which was [tex]\sqrt{2x+3}[/tex]

However after this I do not see how I can get another value other than 5.

Answers

Answer:

[tex]x=5,-5[/tex]

Step-by-step explanation:

[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]

How do I know if the triangles are simulat

Answers

Answer:

triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal

Step-by-step explanation:

12 divide 4 x 7 - 18 =

Answers

Answer:

20

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

BRAINLIEST: PLS HELP ME ASAP. Guaranteed brainliest and 20 points for the person who answers this. Thank you very much.

Answers

Answer:

whats your question? thanks for points

According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.

Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.

Answers

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p = 0.11[/tex]

   The sample size is  n =  1640

   The number found to be living with at least one grandparent is [tex]k = 225[/tex]

   The level of significance is  [tex]\alpha = 0.02[/tex]

   The null hypothesis is [tex]H_o : p = 0.11[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.11[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^ p = \frac{ k }{n}[/tex]

=>  [tex]\^ p = \frac{ 225 }{1640 }[/tex]

=>  [tex]\^ p = 0.1372[/tex]

Generally the test statistics is mathematically represented as

     [tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]

=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]

=>[tex]z = 0.0077[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.0077  is  

    [tex]p-value = P(Z > 0.0077) = 0.4969[/tex]

From the value obtained we see that [tex]p-value > \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

 There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

If a baseball player get a hit in 31% of his at-bats, what is the probability that he will
get a hit 5 at-bats in a row?

Answers

Given:

A baseball player get a hit in 31% of his at-bats.

To find:

The probability that he will  get a hit 5 at-bats in a row.

Solution:

Since, a baseball player get a hit in 31% of his at-bats, therefore

Probability that he get a hit = [tex]\dfrac{31}{100}[/tex]

                                           = [tex]0.31[/tex]

Now, the probability that he will  get a hit 5 at-bats in a row is

[tex]P=0.31\times 0.31\times 0.31\times 0.31\times 0.31[/tex]

[tex]P=(0.31)^5[/tex]

[tex]P=0.0028629151 [/tex]

Therefore, the required probability is [tex](0.31)^5[/tex] and it can be written as 0.0028629151 .

find the value of banana

Answers

Answer:

36 divided by 3 is 12

watermelon = 12

28 - 12 = 16

16 divide 2

peach = 8

8-5 = 3

Banana  = 5

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