Which choices are equivalent to the expression below? Check all that apply.

Is 21,063 divisible by three? If it is, write a number as a product of three and another factor if not, explain

Zarrin [17]

Twenty-one thousand and sixty-three divided by three is 7021

First, take any number (for this example it will be 492) and add together each digit in the number (4+9+2 = 15). Then take that sum (15) and determine if it is divisible by 3. The original number is divisible by 3 (or 9) if and only if the sum of its digits is divisible by 3 (or 9).If a number is a multiplication of 3 consecutive numbers then that number is always divisible by 3. This is useful for when the number takes the form of (n * (n - 1)*(n + 1))Example: 492 (The original number). 4 + 9 + 2 = 15 (Add each individual digit together). 15 is divisible by 3 at which point we can stop. Alternatively we can continue using the same method if the number is still too large: 1 + 5 = 6 (Add each individual digit together). 6 ÷ 3 = 2 (Check to see if the number received is divisible by 3). 492 ÷ 3 = 164 (If the number obtained by using the rule is divisible by 3, then the whole number is divisible by 3)

4 0

2 years ago

Write a multiplication equation that shows the denominator of 3/4 and 1/2 are related

lutik1710 [3]

Hope that “3/4 x 2/4” is what you are looking for. You have to multiply the numerator and the denominator of the second term by 2.

6 0

2 years ago

TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is th

VMariaS [17]

Answer:

$WS=8\ units$

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and the corresponding angles are also equal

In this problem

$\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}$

we have

$TU=3\ units, RS=15\ units, TW=4\ units,TR=9\ units$

Find the value of TS

$\frac{TU}{TR}=\frac{TW}{TS}$

substitute

$\frac{3}{9}=\frac{4}{TS}$

$TS=36/3=12\ units$

$WS=TS-TW$

$WS=12-4=8\ units$

see the attached figure to better understand the problem

3 0

2 years ago

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3x^2 - 12x ÷ x-4 what is this simplified

Andreyy89

3x^2−16 I think that's the answer. Hope that helps!

8 0

2 years ago

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Kuta Software - Infinite Algebra 2 Name Systems of Two Equations Date Solve each system by graphing. 1) y=-3x + 4 y= 3x - 2 2) y

gogolik [260]

Answer:

Solution of the system of equations: (1, 1)

x = 1, y = 1

Explanation:

Given the below system of equations;

$\begin{gathered} y=-3x+4 \\ y=3x-2 \end{gathered}$

Note that the slope-intercept form of the equation of a line is given as;

$y=mx+b$

where m = slope of the line

b = y-intercept of the line

Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.

Knowing the above information, let's go ahead and graph the system of equations;

From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.

5 0

3 months ago

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