25 POINTS AND WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Suppose a lab needs to make 400 liters of a 39% acid solution, but the only solutions available to the lab are 20% acid and 50% acid. What system of equations can be used to find the number of liters of each solution that should be mixed to make the 39% solution? Let c represent the number of liters of 20% acid solution and let d represent the number of liters of 50% acid solution.

Answer:

440

Step-by-step explanation:

70 + 130 + 140 + 100 = 440

Answer:

im pretty sure its 6

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Answer:

I believe it's 3.2!

Answer:

k > −7

Step-by-step explanation:

1 Subtract 6k6k from both sides.

9k+3-6k>-189k+3−6k>−18

2 Simplify  9k+3-6k9k+3−6k  to  3k+33k+3.

3k+3>-183k+3>−18

3 Subtract 33 from both sides.

3k>-18-33k>−18−3

4 Simplify  -18-3−18−3  to  -21−21.

3k>-213k>−21

5 Divide both sides by 33.

k>-21/3

6 Simplity 21/3 to 7.

k>-7

Hope This Helps.

Answer:

k > -7

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    9*k+3-(6*k-18)>0  

Step by step solution :

STEP  1:

Pulling out like terms

1.1     Pull out like factors :

  3k + 21  =   3 • (k + 7)  

Equation at the end of step  1:

STEP 2:

2.1    Divide both sides by  3  

Solve Basic Inequality :

2.2      Subtract  7  from both sides

           k > -7

Inequality Plot :

2.3      Inequality plot for

        3.000 X  + 21.000  >  0

One solution was Made :

k > -7

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)

Answer:

i+42

Step-by-step explanation:

(3+3i) - (3+2i) + (1+41)

= 3+3i-3-2i+1+41

= 3i-2i+1+41

= i+42

Answer:

It's -4 -4i

Step-by-step explanation:

Because it is

A

-4-4i

For the person that commented. the 5 is an exponent.

Answer:

47.8

Step-by-step explanation:

What you want to do first is 5 1/5 - 5/12 which is 4.78,

then 1/6 x 2/3, which is 0.1,

then you do 4.78 divided by 0.1, which is 47.8

Answer:

21 degrees

Step-by-step explanation:

Answer:

the answer is 3

Step-by-step explanation:

you multiply 5 by 3 and subtract it by 1 to get 14

Answer:50

Step-by-step explanation:

Answer: 50

Step-by-step explanation: according to pemdas you do exponets first so 5 over 2=5*5=25 then multiply by 2=25*2=50

Answer:

20%

Step-by-step explanation:

Percentage Calculator: 3000 is what percent of 15000? = 20%

Answer:

The answer is 109 degrees.

Step-by-step explanation:

Any triangle's angles add up to 180 in total, so we can create the equation 64+45+__=180. Using some simple algebra we can change this equation into the equation 180-109=71. This solves the inner triangle, and the outside angle, x is supplementary (meaning it adds up to 180) to 71. 180-71 = 109.

Glad I could help!

Answer:

Step-by-step explanation:

Perimeter of a garden =  2(L+W)

Area of the gerden = LW

L is the length

W is the width

Given

Perimeter = 155ft

Area = 1400ft²

Substitute

1400 = LW

155 = 2L+2W

from 1;

W = 1400/L

Substitute into 2;

155 = 2L + 2(1400/L)

155 = 2L + 2800/L

155L = 2L² + 2800

2L²-155L + 2800 = 0

Factorize

L = 155±√155²-4(2)(2800)/4

L = 155±√24025-22400/4

L = 155±√1625/4

L = L = 155±40.31/4

L = 194.31/4

L = 48.82 feet and;

L = 155-40.31/4

L = 28.67ft

Hence the approximate length of the garden is at least 28.67 feet and at most 48.82 feet.

The possible lengths of the garden are:

The least approximate length  = 29 feet

The most approximate length  = 49 feet

The area of the rectangle is at least 1400 square feet

That is:

Area  ≤  1400

Let the length be represented by L

Let the width be represented by W

Let the area be represented by A

The area of a rectangle is:

Area  =  Length  x  Width

A  =  LW

LW   ≥   1400....................(1)

The perimeter of the rectangle is 155 feet

P  =  2(L  +  W)

2(L  +  W)   =  155............(2)

Make W the subject of the formula

L  +  W   =  155/2

L + W  =  77.5

W   =   77.5 - L.............(3)

Substitute W = 77.5  - L into equation (1)

L(77.5  -  L)   ≥  1400

77.5L  -  L² ≥ 1400

-L²   ≥  1400  -  77.5L

0   ≥  L²  -  77.5L  +  1400

L²  -  77.5L  +  1400 ≤  0

Solving the quadratic inequality above

29  ≤  L ≤ 49

The least approximate length of the garden = 29 feet

The most approximate length of the garden = 49 feet

Learn more here: https://brainly.com/question/19308936

Answer:

y=1/3 x2

Step-by-step explanation:

Answer:

of what numbers

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

The reason it is b is because i just did the question and it was right

Answer: 0.0238

Step-by-step explanation:

Given : Proportion of politicians are lawyers: p= 0.56

Sample size : n= 787

Let [tex]\hat{p}[/tex] be th sample proportion.

The the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% will be :-

[tex]P(|\hat{p}-0.56|>0.04)=P(-0.04>\hat{p}-0.56>0.04)=\\\\ P(-0.04+0.56>\hat{p}>0.04+0.56)\\\\=P(0.52>\hat{p}>0.60)\\\\=P(\dfrac{0.52-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}}>\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.60-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}})\\\\=P(-2.26>z>2.26)\ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(-2.26<z<2.26)\\\\=1-(2P(Z > 2.26)-1)\ \ \ [P(-z<Z<z)=2P(Z > |z|)-1]\\\ =2-2P(Z > 2.26)\\\\=2-2(0.9881)=0.0238[/tex]

Hence, the required probability = 0.0238

No. one variable is always a constant value times the other. That constant is know as the "constant of proportionality". This does not have that. Hope this helped

=3

<3

Answer:

y  =  -5x -24

Step-by-step explanation:

 Given parameters:

    Coordinates of the line = (5, - 4)

   Linear function ;

                            2x - 10y = 0

Solution:

The equation of the line perpendicular to this line will have a slope that is the a negative inverse of the given line;

                          2x - 10y = 0

Equation of a line is given as;

                          y  = mx + c

y and x are the coordinates

  m is the slope

  c is the y-intercept

We find the slope and y-intercept of the new line;

                      From:  2x - 10y = 0

 Rewrite;

                        -10y = -2x

                              y  = [tex]\frac{-2}{-10}[/tex]x

                              y = [tex]\frac{1}{5}[/tex]x

The slope of this line is  [tex]\frac{1}{5}[/tex] , the line perpendicular will have slope of -5

For the new line;

                   y  = mx + c

 let us find c;

                    -4  = -5( -4)  + c

                   -4  = 20 + c

                    c  = -20 - 4

                     c = -24

The equation of the perpendicular line is;

            y  =  -5x -24

Answer:

65

Step-by-step explanation

47 + 18 = 65

Answer:

What do you mean ?? Say it clearly I really want to help you.

Answer:

Not 100 percent but im pretty sure it is 3(n+5)=-30 i found other sites saying its that its up to you if you wanna believe me

Step-by-step explanation:

Answer:

y=5x+8

Step-by-step explanation:

You need have the slope-intercept formula:

y=mx+b

m=slope

b=y-intercept

You replace the m and b with the slope and y-intercept which is 8

y=5x+8

Hope this helps!

Answer:

Step-by-step explanation:

12

Answer:

Step-by-step explanation:

The two numbers are 14 and 16 their product is 224 and their difference is 2