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cupoosta [38]
3 years ago
9

Please help! What’s the mean of 13, 13, 10?

Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

For mean it's the average. You add all three numbers (13, 13 , 10), then you divide it by three since their are three numbers. Average would be 12.

Hope this helps (:

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Solve the systems using substitution.<br> 1.6x + 2y = -2<br> 4x + y = 1
Schach [20]
\begin{array}{ccc}(1)\\(2)\end{array}\ \left\{\begin{array}{ccc}6x+2y=-2\\4x+y=1\end{array}\right\\\\4x+y=1\ \ \ |subtract\ 4x\ from\ both\ sides\\y=1-4x\\\\subtitute\ y=1-4x\ to\ (1):\\\\6x+2(1-4x)=-2\\6x+2\cdot1+2\cdot(-4x)=-2\\6x+2-8x=-2\\-2x+2=-2\ \ \ \ |subtract\ 2\ from\ both\ sides\\-2x=-4\ \ \ |divide\ both\ sides\ by\ (-2)\\\boxed{x=2}\\\\subtitute\ the\ value\ of\ x\ to\ the\ y=1-4x:\\\\y=1-4\cdot2\\y=1-8\\\boxed{y=-7}\\\\Answer:  \left\{\begin{array}{ccc}x=2\\y=-7\end{array}\right
6 0
3 years ago
PLEASE HELP!!
sp2606 [1]
Standard form is just putting (in this case) variables in alphabetical order. First we simplify- 2x+4=4y would become 1/2x+1=y. This is already in standard form, as numbers w/o variables come at the end. simplifying the next one is more tricky. first you get a variable/number alone-
9-2x-2y=4x+3
9-2y=6x+3
6-2y=6x
1-1/3y=x
1=x+1/3y
3=x+y
x+y=3
sorry if I was wrong and not of any help, But I do believe this is correct.
5 0
3 years ago
Read 2 more answers
Please solve -26=-8x+6
Alexxx [7]
X = 4

-26 = -8x + 6
-32 = -8x
4 = x
8 0
3 years ago
Read 2 more answers
Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is c
Scilla [17]

Answer:

<em>27 feet for the south wall and 18 feet for the east/west walls</em>

Maximum area= 486\ ft^2

Step-by-step explanation:

<u>Optimization</u>

This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is

C=8x+12y

The budget to build the office space is $432, thus

8x+12y=432

Solving for y

\displaystyle y=\frac{432-8x}{12}

The area of the office space is

A=xy

Replacing the value found above

\displaystyle A=x\cdot \frac{432-8x}{12}

Operating

\displaystyle A= \frac{432x-8x^2}{12}

This is the objective function and must be maximized. Taking its first derivative and equating to 0:

\displaystyle A'= \frac{432-16x}{12}=0

Operating

432-16x=0

Solving

x=432/16=27

x=27\ feet

Calculating y

\displaystyle y=\frac{432-8\cdot 27}{12}

y=18\ feet

Compute the second derivative to ensure it's a maximum

\displaystyle A'= \frac{-16x}{12}

Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is

A=xy=27\ ft\cdot 18\ ft\\\\\boxed{A=486\ ft^2}

5 0
3 years ago
9. Water is added to two containers for 20 minutes. The equations below model the ounces of
Rzqust [24]

Answer:

792 ounces

Step-by-step explanation:

The equations below model the ounces of water, y, in each container after x minutes.

Container A: y = 62x + 48

Container B: y = -2x² + 80x + 120

Now, at a time when both the containers hold the same amount of water, is given by

62x + 48 = -2x² + 80x + 120

⇒ 2x² - 18x - 72 = 0

⇒ x² - 9x - 36 = 0

⇒ x² - 12x + 3x - 36 = 0

⇒ (x - 12)(x + 3) = 0

Hence, x = 12 or - 3.

But x can not be negative.

So, x = 12 minutes.

Therefore, after 12 minutes both the container will have the same amount of water and the quantity is = 62 × 12 + 48 = 792 ounces. (Answer)

6 0
3 years ago
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