All categories

3 years ago

5 times the cube of x divided by 4 times x

2 answers:

6 0

$x^3-\text{cube of}\ x\\\\\text{5 times the cube of x divided by 4 times x}\\\\\dfrac{5\cdot x^3}{4\cdot x}=\boxed{\dfrac{5x^3}{4x}}$

Kaylis [27]3 years ago

6 0

Answer:

5/4 x^2

Step-by-step explanation:

5 * x^3

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

Rewriting

5xxx

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

Canceling an x

5xx

----------

5/4 x^2

You might be interested in

Expand and simplify 3(x-2) + 2(4x-1)

Zanzabum

Answer:

11x-8

Step-by-step explanation:

$3(x - 2) + 2(4x - 1) \\ multiply \: inside \: the \: bracket \\ 3x - 6 + 8x - 2 \\ 11x - 8$

3 0

2 years ago

Find a and b if the point p(6,0) and Q(3,2) lie on the graph of ax+ by=12

tiny-mole [99]

to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$(\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})$

$\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12$

5 0

2 years ago

Suppose researchers marked 800 turtles and later were able to trap a total of 300 individuals in that population, of which 150 w

aleksklad [387]

The estimate for the total population size is 1600.

Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:

150/300 = 800/x

Cross multiply:
150*x = 300*800
150x = 240000

Divide both sides by 150:
150x/150 = 240000/150
x = 1600

8 0

3 years ago

The balance of an account after $40 withdraw <br>You need to translate to a math expression.

stepladder [879]

Answer:

Let's make "b" the amount in the account.

A withdrawal means a reduction in the balance. So we have

b - 40

8 0

3 years ago

Please help will give Brain

Nina [5.8K]

Step-by-step explanation:

AB=DC

-x+6 = 3x-14

4x= 20

x= 5

AB=1

DC=1

8 0

3 years ago