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ddd [48]
3 years ago
14

The difference between one-third of a number and 11 is 10.

Mathematics
2 answers:
Blababa [14]3 years ago
6 0

Answer:

  1. X/3-11=10
  2. X/3=21
  3. X=63
MariettaO [177]3 years ago
5 0

Answer:

Step-by-step explanation:

The equation is 1/3x - 11 = 10

First add 11 to both sides of the equation to get 1/3x = 21

Then divide both sides by 1/3

X = 63

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Does the graph of the function y–x2=9 intersect with the following axes? If the answer is ‘yes’, determine the coordinates of th
ddd [48]

Answer:

no

Step-by-step explanation:

6 0
3 years ago
If sarah is 24 years younger than her mother and if the sum of their age is 68 how old is sarah
UkoKoshka [18]
The sum of two numbers if just the numbers added together, so you would just need to do some simple algebra.

The ages added together are 68, and the opposite of addition is subtraction!

(total age) - (sarahs age) = (mothers age)
68 - 24 = 44

44 should be her mothers age!


(If you were trying to calculate the sum of their ages, you would just add them together, and 24 + 44 = 68)

7 0
3 years ago
Question 13(Multiple Choice Worth 1 points) (8.03 LC) A set of equations is given below: Equation C: y = 7x + 12 Equation D: y =
Vlad [161]

Answer: I believe it would be no solution

Step-by-step explanation

3 0
3 years ago
1. Contaminated water is subjected to a cleaning process. The concentration of the
Leokris [45]

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

6 0
3 years ago
The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Finger [1]

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: (x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

<em>Where</em>,

(x_m, y_m) = coordinates of the midpoint

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Given the following:

(x_m, y_m) = M( 6,-4)

(x_1, y_1) = G(8,-2)

(x_2, y_2) = H(?, ?)

Plug in the values into the midpoint formula

M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )

Solve for the x-coordinate and y-coordinate separately

6 = \frac{8 + x_2}{2}

  • Multiply both sides

6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}

-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

3 0
2 years ago
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