C+2c+12=75
what is the value of c?

Answers

Answer 1
Answer: Simplify c+2c+12 to 3c+12
3c+12=75
Subtract 12 from both sides
3c=75−12
Simplify 75−12 to 63
3c=63
Divide both sides by 3
c=63/3
Simplify 63/3 to 21
c=21
Answer 2
Answer: c+2c+12=75
3c + 12 = 75
3c = 75 - 12
3c = 63
с = 63 : 3
с = 21
______________________

× 21 + 12 = 75
      63 + 12 = 75
              75 = 75

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The mass of one liter of water is about one ____A : Milligram

B : Kilogram

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Answers

gram

The density of water is about 1g/cm3

Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below.1.5, 2.25, 3.0, 3.75, ...

Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?

A. f(n + 1) = f(n) + 1.5
B. f(n + 1) = f(n) + 0.75
C. f(n + 1) = f(n)
D. f(n + 1) = f(n)

Answers

Let

f(1)=1.5\n f(2)=2.25\n f(3)=3\n f(4)=3.75

we know that

f(2)-f(1)=2.25-1.5=0.75\n f(2)=f(1)+0.75\n \n f(3)-f(2)=3-2.25=0.75\n f(3)=f(2)+0.75\n \n f(4)-f(3)=3.75-3=0.75\n f(4)=f(3)+0.75\n \n.\n.\n.\n f(n+1)=f(n)+0.75

This is an arithmetic sequence, the common difference is equal to 0.75

therefore

the answer is the option

B. f(n + 1) = f(n) + 0.75

It would be f(n+1) = f(n)+0.75

So, OPTION B IS YOUR ANSWER.........

Which equation in slope-intercept form, passes through the points (2, 15) and (5, 21)?

Answers

Answer:

y = 2x + 11

Step-by-step explanation:

Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.

Slope = m = rise/run = (y2-y1)/(x2-x1) = (15-21)/(2-5) = -6/-3 = 2

substitute 2 back into the equation.

y = mx + b

y = 2x + b

use one of the provided points to solve for b.

y = 2x + b

15 = 2(2) + b

15 = 4 + b

11 = b

y = 2x + 11

Arella needs to paint a board that is 2 meters wide and 3 meters tall. If one cup of paint will cover 1000 square centimeters, how many cups of paint will Arella need

Answers

Hey!


The area of the board is 60,000 centimeters.


1 meter = 100 centimeters

2 meters = 200 centimeters

3 meters = 300 centimeters


Area = length × width

300 × 200 = 60,000


One cup covers 1,000 centimeters. To cover 60,000 centimeters, divide 60,000 by 1,000.


60,000 / 1,000 = 60


That means Arella needs 60 cups


\framebox{Arella needs 60 cups of paint}

Since the paint covers a certain number of square centimeters and the board's dimensions are given in meters, we need to use one single unit.


Let's convert the measurements in meters to centimeters and work with square centimeters.


The board measures 3 meters by 2 meters.

There are 100 cm in a meter.


3 m = 300 cm

2 m = 200 cm


area of rectangle = length * width


area of rectangle = 300 cm * 200 cm = 60,000 cm^2


The area of the rectangle is 60,000 cm^2


One cup covers 1,000 cm^2.

How many times the area of 1,000 cm^2 needs to be covered?

60,000 cm^2 is how many times 1,000 cm^2?

We use division to answer that question.


(60,000 cm^2)/(1,000 cm^2) = 60


60,000 cm^2 is 60 times 1,000 cm^2.

Since 1 cup covers 1000 cm^2, and Arella needs to cover 60 times that area, Arella needs 60 times the paint contained in 1 cup, so the answer is 60 cups.


Answer: Arella needs 60 cups of paint.

Two functions, y = |x - 3| and 3x + 3y = 27, are graphed on thesame set of axes. Which statement is true about the solution to the
system of equations?
(1) (3,0) is the solution to the system because it satisfies the equation
y = |x - 3|.
(2) (9,0) is the solution to the system because it satisfies the equation
3x + 3y = 27.
(3) (6,3) is the solution to the system because it satisfies both equations.
(4) (3,0), (9,0), and (6,3) are the solutions to the system of equations
because they all satisfy at least one of the equations.

Answers

                        y = |x - 3|
              3x + 3y = 27
       3x + 3|x - 3| = 27
       3x + 3|x - 3| = ±27
       3x + 3|x - 3| = 27        or          3x + 3|x - 3| = -27
       3x + 3(x - 3) = 27        or         3x + 3(x - 3) = -27
   3x + 3(x) - 3(3) = 27     or       3x + 3(x) - 3(3) = -27
          3x + 3x - 9 = 27        or           3x + 3x - 9 = -27
                  6x - 9 = 27           or                6x - 9 = -27
                      + 9   + 9                                  + 9   + 9
                       6x = 36               or                 6x = -18
                        6      6                                     6       6
                         x = 6                  or                  x = -3
                         y = |x - 3|           or                  y = |x - 3|
                         y = |6 - 3|           or                  y = |-3 - 3|
                         y = |3|                or                  y = |-6|
                         y = 3                  or                  y = 6
                   (x, y) = (6, 3)           or            (x, y) = (-3, 6)

The two systems of equations of the graph is only equal to (6, 3). It is not equal to (-3, 6) because one of the systems of equations - y = |x - 3| - only has one solution to the function. So the answer to the problem is 3 - (6, 3) is the solution to the system because it satisfies both equations.

a box contains 14 scarves in unique colors if 4 scarves are picked randomly from the box how many different combinations are possible if the order dosen't matter

Answers

Since the order does not matter as the colors of the scarves are picked, this is a case of combinations. We use the formula:
nCk = n!/( (n-k)! k! )
14C4 = 14!/( (14-4)! 4! )
14C4 = 1001

Therefore, there are 1001 different combinations possible if 4 scarves are picked from a box containing 14 scarves of unique colors.

Answer:

1001

Step-by-step explanation: