Simplify show all steps 30 POINTS

At centroid medians bisect each other in the ratio 2:1

[tex]\\ \sf\longmapsto OC=2(OD)[/tex]

[tex]\\ \sf\longmapsto 2(3x-2)=5x[/tex]

[tex]\\ \sf\longmapsto 6x-4=5x[/tex]

[tex]\\ \sf\longmapsto 6x-5x=4[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

The value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.

In the question, we are given that O is the centroid of triangle ABC, and are asked to find the value of x, for which OD = 3x - 2, and OC = 5x.

We know that the median is divided by the centroid of the triangle in a ratio of 2:1.

Thus, the median CD is divided by the ratio of 2:1 as,

2/1 = OC/OD,

or, 2/1 = (5x)/(3x - 2),

or, 2(3x - 2) = 1(5x) {Cross-multiplying},

or, 6x - 4 = 5x,

or, 6x - 5x = 4,

or, x = 4.

Thus, the value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

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Answer:

7k + 4

Step-by-step explanation:

I don't know what ON SA means, but here's how I solved it:

(k - 4k + 7) + (k + 9k – 3)

(-3k + 7) + (10k - 3)

(-3k + 10k) + (7 - 3)

7k + 4

Answer:

They are the same amount of pizza.

Step-by-step explanation:

    Stella cut her pizza into 4 pieces. If she eats 2 pieces, then she has eaten half of her pizza. Likewise, Brian cut his pizza into 8 pieces. If he eats 4 pieces, then he has eaten half of his pizza. Therefore, they have both eaten the same amount of pizza.

Model:

Let Time devoted for others be x

[tex]\\ \rm\Rrightarrow x+2=5[/tex]

[tex]\\ \rm\Rrightarrow x=5-2[/tex]

[tex]\\ \rm\Rrightarrow x=3h[/tex]

Answer:

3 hours

Step-by-step explanation:

All we need to do here is subtract to find out how many hours she has left to devote to other subjects.

5 - 2 = 3

Best of Luck!

Answer:

25

Step-by-step explanation:

6*7-3^2*9+4^3

Exponents first

6*7-9*9+64

Multiply and divide from left to right

42 -9*9+64

42 - 81 +64

Add and subtract from left to right

-39 +64

25

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6\times7-3^2\times9+4^3 }}\\\huge\boxed{\mathsf{= 42 - (9)(9) + 4^3}}\\\huge\boxed{\mathsf{= 42 - 81 + 64}}\\\huge\boxed{\mathsf{= -39 + 64}}\\\huge\boxed{\mathsf{= 25}}}}\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

b = -3

Step-by-step explanation:

-4b + 3(6 - 7b) = 93

-4b + 18 - 21b = 93

-4b - 21b = 93 - 18

-25b = 75

[tex]\sf{b = \frac{75}{ - 25} }[/tex]

b = -3

b = - 3

Step-by-step explanation:

-4b + 3(6-7b) = 93

-4b + 18 - 21b = 93

-25b + 18 = 93

-25b = 93 - 18

-25b = 75

b = 75 : - 25

b = - 3

Answer:

77136.3166667

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

First convert the amount of dough into an improper fraction:

[tex]3\frac{3}{4}\:\text{lbs} = \dfrac{15}{4}\:\text{lbs}[/tex]

Each roll is 1/8 lb so divide the amount of dough by this amount:

[tex]\dfrac{\left(\dfrac{15}{4}\:\text{lbs}\right)}{\left(\frac{1}{8}\:\text{lb/roll}\right)} = \left(\dfrac{15}{4}\:\text{lbs}\right)\cdot \left(8\:\dfrac{\text{roll}}{\text{lb}}\right) = 30\:\text{rolls}[/tex]

Answer:

B -1.5

Step-by-step explanation:

please give brainliest if you can, have a good day<3 :)

Answer:

-1.5

Step-by-step explanation:

Answer:

j is -18

Step-by-step explanation:

[tex] - 108pi = 6pij \\ - 108 = 6j \\ j = - 18[/tex]

The solution is j = -18 for the expression -108π = 6πj

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

Operators who let do basic mathematical calculations.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that the expression

⇒ -108π = 6πj

Divided by 6π both sides

⇒ -108π/6π  = 6πj/6π  

⇒ -18  = j  

⇒ j = -18

Thus, the solution is j = -18 for the expression -108π = 6πj

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Answer:

3/8

Step-by-step explanation:

Answer:

» ◻ Add and divide to isolate x²

[tex]2 {x}^{2} - 7 = 9 \\ 2 {x}^{2} = 9 + 7 \\ 2 {x}^{2} = 16 \\ {x}^{2} = \frac{16}{2} \\ \\ {x}^{2} = 8[/tex]

» ◻ use the square root property of equality

[tex] {x}^{2} = 8 \\ x = \sqrt{8} [/tex]

Answer:

1/4

Step-by-step explanation:

1/6 + 1/12 = 1/4

Answer:

3/3

Step-by-step explanation:

1/6= to 2/12 and 1 /12 = 2 /6

Answer:

A

Step-by-step explanation:

fog(x) = f(g(x) = f(1/2x) = 4x/(1+6x)

Answer:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

Step-by-step explanation:

We want to find the linear function given that:

[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]

Recall that by the definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]

In other words, f(-1) = 2 and f(3) = -9.

This yields two points: (-1, 2) and (3, -9).

Find the slope of the linear function:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]

From point-slope form:

[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]

Hence:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

We can simplify if desired:

[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]

Answer:

C. 2/3, 0.66, 66 2/3%

Step-by-step explanation:

There are 36 inches in a yard.

24/36 (simplify) = 2/3

Add :

-1.25 + 2.5 = 1.25

For plotting the first one we first need to see the integer as here is 1 we will move to 1. Now, here it is given 0.25. Each line between 1 and 2 has 10 numbers gap so, as it 25 > 20 and 25 < 30. So, we should plot it between the 2nd and the 3rd line. As it is 5 it should be in between the line.

Refer the plotting for better identification

Add :

4.2 + (-0.4)

4.2 - 0.4

3.8

For plotting this one we will move to 3 than it has 8 < 10 so it should be plotted within the first dot.

Refer the attachment for better identification

Step-by-step explanation:

this is correct answer thank you

Answer:

4.91666666667

Step-by-step explanation:

this is what i got

either 9/2 x 8/3 or 9/2 x 3/8

Answer:

(a) A

(b) x = 7

Step-by-step explanation:

(a) Given : -3 + 2x = 4

Step 1: Isolate the x to one side. To do so, we get rid of -3 by adding 3 to both sides. (-3 + 3 =0)

2x = 4 + 3

(b) -3 + x = 4

     x = 4 + 3

        = 7

Answer: depends how much you type

Step-by-step explanation:

Answer:

(x-27)(x+4) = 0

Step-by-step explanation:

I think you have a typo, and meant

x^2 -23x-108

what are two factors of 108 that differ by 23?

x^2 -24x-108 does not factor with rational coefficients.

Answer:

7.5

Step-by-step explanation:

Triangles: RST and RPQ are similar so

Triangle RST has 12.5 and x

Triangle RPQ has 20 (comes from 12.5+7.5) and x+4.5

Therefore you divide

x/x+4.5 = 12.5/20

20x= 12.5x+56.25

7.5x=56.25

x=7.5

Answer:

[tex]f(1)=70[/tex]

[tex]f(n)=f(n-1)+6[/tex]

Step-by-step explanation:

One is given the following function:

[tex]f(n)=64+6n[/tex]

One is asked to evaluate the function for [tex](f(1))[/tex], substitute [tex](1)[/tex] in place of [tex](n)[/tex], and simplify to evaluate:

[tex]f(1)=64+6(1)[/tex]

[tex]f(1)=64+6[/tex]

[tex]f(1)=70[/tex]

A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

[tex]a_n=a_(_n_-_1_)+d[/tex]

Where ([tex]a_n[/tex]) is the evaluator term ([tex]a_(_n_-_1_)[/tex]) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,

[tex]a_n=a_(_n_-_1_)+d[/tex]

[tex]a_n=a_(_n_-_1_)+6[/tex]

[tex]f(n)=f(n-1)+6[/tex]

Answer:

75 kg

Step-by-step explanation:

300*25/100

3*25

75 Kg

Answer:

75kg

Step-by-step explanation:

potatoes are stocked =300kg

25% of potatoes in kg= 25% * 300kg

=75kg

75kg potatoes are sold in 1.5kg bags.

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3   -4/3

----------------

14/3 = b