expression for the area of the rectangle shown. (A = length x
Simplify
width) *
8x - 2.
4

______________________________

______________________________

Answer:

15%

Step-by-step explanation:

Answer:

12% alkaline

Step-by-step explanation:

The amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.

Given to us

A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution.

She wants to mix the two solutions to get 100 ml of a 4% acid solution.

Assumption

Let the amount of 1% acid solution be x ml, and the amount of 5% acid solution be y ml.

As the chemist wants to mix the two solutions to make 100 ml of solutions, therefore,

amount of 1% acid solution + amount of 5% acid solution = 100ml

x + y = 100.....equation 1

Solving for y,

y = 100 - x

We know that the mixture is having a 4% concentration and is 100 ml in volume.

[tex](1\%)x+(5\%)y = (4\%)100\\0.01x+0.05y=0.04\times 100\\[/tex]

Substitute the value of y,

[tex]0.01x+0.05(100-x)=0.04\times 100\\\\0.01x + (0.05\times 100)-(0.05\times x) = 4\\\\0.01x + 5 -0.05x =4\\\\0.01x-0.05x = 4-5\\\\0.04x = 1\\\\x=\dfrac{1}{0.04}\\\\x = 25\ ml[/tex]

Substitute the value of x in equation y,

[tex]x+y = 100\\25 +y =100\\y = 100-25\\y=75\ ml[/tex]

Hence, the amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.

Learn more about the System of equations:

https://brainly.com/question/12895249

Answer:

A

2√2 * 7√18

=84

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

Answer:

C. y + 3 = ¼(x + 4)

Step-by-step explanation:

✔️First, find the slope of the given line on the graph that it is perpendicular to:

Slope (m) = ∆y/∆x = -4/1 = -4

Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of -4.

The negative reciprocal of -4 = ¼

✔️Find the equation in point-slope form, y - b = m(x - a) using slope and a point on the line:

Substitute m = ¼, (a, b) = (-4, -3) into y - b = m(x - a):

y - (-3) = ¼(x - (-4))

y + 3 = ¼(x + 4)

Step-by-step explanation:

Apparently the common ratio is

3

Explanation:

The 2nd term is 3

the 3rd=9=3²

the 4th= 27=3³

To get to the n

th term we will have to multiply n−1

times by 3

Or: tn=3n−1

Answer: see below

Step-by-step explanation:

If this is a 6 sided die then the only possible roll that isnt an odd, a 2, or a 4 is 6.

The probability of something happening is also the probability of something not happening. So in order to not roll an odd, a 2 or a 4 in two rolls, you have to roll a 6 twice.

P = 1 - (1/6)(1/6) = 1 - (1/36) = (35/36)

Answer:

3=1/5x+7

Step-by-step explanation:

when it says "Of a number" it means to add a variable, so i added a x. and when it says "more than" it means to add, so 3=1/5x+7 is the answer

Answer:

Yes, it is.

Step-by-step explanation:

Answer:

Yes sir

Step-by-step explanation:

Answer: 90%

Step-by-step explanation: All u gotta do is 18/20. You get .9 and u just add a 0 at the end

Answer:

a

Step-by-step explanation:

hope this helps yout just have to put the negative letters with the positive!!!

Answer:

The slope of the line will change from negative to positive

Step-by-step explanation:

the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive

Answer:

so she had x oranges

she put the oranges into p boxes with 3 in each box and had 2 left so

total=3 times p+2 or

total=3p+2

Answer:

Length of first piece = 5 inches

Length of second piece = 10 inches

Length of third piece = 26 inches

Step-by-step explanation:

Given that:

Length of piece of steel = 41 inch

Let,

x be the length of first piece

y be the length of second piece

z be the length of third piece

According to given statement;

x+y+z = 41          Eqn 1

y = 2x                Eqn 2

z = 5x+1            Eqn 3

Putting value of y and z from Eqn 2 and 3 in Eqn 1

[tex]x+2x+5x+1=41\\8x = 41-1 \\8x = 40[/tex]

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{40}{8}\\x=5[/tex]

Putting x=5 in Eqn 2 and 3

y = 2(5) = 10

z = 5(5) + 1 = 25+1 = 26

Hence,

Length of first piece = 5 inches

Length of second piece = 10 inches

Length of third piece = 26 inches

Answer:

A=0.3

Step-by-step explanation:

0.3

0.5

1.1

1.3

thats the correct answer

Answer:

A

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

solve with y2-y1 / x2-x1

5-5 is 0

-1-3 is -4

0/4 is 0

slope is 0

Answer:

Step-by-step explanation

4x-3=y

perpendicular means

-1/4x-3=y

Hello!

[tex]\large\boxed{g(5) = 25}[/tex]

If g(x) = 4x + 5, find g(5) by substituting 5 for x:

g(5) = 4(5) + 5

Simplify:

g(5) = 20 + 5

g(5) = 25

Answer:

Step-by-step explanation:

Area of circle=Pi times radius^2

Diameter is half of radius=8.4

Pi*8.4^2=221.670777637

Hope this helps!

Answer:

221.56 cm^2 or 70.56pi

Step-by-step explanation:

Area of a circle  = pi*radius^2

Radius = diameter/2, radius = 8.4

3.14(8.4)^2 = 221.56 cm squared, or 70.56pi

Answer:

553 acres

Step-by-step explanation:

94010 ÷ 170 =553

Answer:

D

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

plug 125 in for 'f'

3/5(125-20) = 3/5 · 105 = 315/5 = 63

Answer:

1). Profit = 3x - 180

2) Profit of selling 1000 video games = $2820

Step-by-step explanation:

Expression for the revenue = 5x² + 2x - 80

Expression for the production cost of the video games = 5x² - x + 100

Since, profit is the difference between the revenue and the cost,

Expression for the profit will be,

Profit = Revenue - Cost

         = (5x² + 2x - 80) - (5x² - x + 100)

         = 5x² + 2x - 80 - 5x² + x - 100

         = 3x - 180

Here, x = Number of video games sold

If number of video games sold = 1000

Profit = (3×1000) - 180

         = 3000 - 180

         = $2820

Answer:

11x+2

Step-by-step explanation:

Answer:

11x=+2

Step-by-step explanation:

5x+2(3x-4)+10

5x+(2*3x-2*4)+10

5x+(6x-8)+10

5x+6x-8+10

=11x=2

Answer:

1. SUN

2. EVAPORATION

3. CONDENSATION

4. EVAPORATION

5. PRECIPITATION

6. CRYSTALLIZATION

Answer:

a

Step-by-step explanation:

Answer:

[tex]x = \frac{log\ 243}{log\ 3}[/tex]

Step-by-step explanation:

Given

[tex]3^x = 243[/tex]

Required

Express as a logarithm

[tex]3^x = 243[/tex]

Take log of both sides

[tex]log\ 3^x = log\ 243[/tex]

Apply the following law of logarithm

[tex]log\ a^b = b\ log\ a[/tex]

So, the expression becomes:

[tex]log\ 3^x = log\ 243[/tex]

[tex]x\ log\ 3 = log\ 243[/tex]

Divide both sides by log 3

[tex]\frac{x\ log\ 3}{log\ 3} = \frac{log\ 243}{log\ 3}[/tex]

[tex]x = \frac{log\ 243}{log\ 3}[/tex]

Hence, the expression in base 10 is:

[tex]x = \frac{log\ 243}{log\ 3}[/tex] or [tex]x = \frac{log_{10}\ 243}{log_{10}\ 3}[/tex]