Divisibility Rules, use your divisibility rules to explain if the number is divisible or not.

ANTONII [103]

Megan:
x to the one third power = $x ^{1/3}$
x to the one twelfth power = $x ^{1/12}$

The quantity of x to the one third power, over x to the one twelfth power is:
 $\frac{x ^{1/3}}{x ^{1/12}}$

Since $\frac{ x^{a} }{ x^{b} } = x ^{a-b}$
then $\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12}$

Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4

$\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12} = x^{1/4}$

Julie:
x times x to the second times x to the fifth = x * x² * x⁵

The thirty second root of the quantity of x times x to the second times x to the fifth is
 $\sqrt[32]{x* x^{2} * x^{5} }$

Since $x^{a}* x^{b}= x^{a+b}$
Then $\sqrt[32]{x* x^{2} * x^{5} }= \sqrt[32]{ x^{1+2+5} } =\sqrt[32]{ x^{8} }$

Since $\sqrt[n]{x^{m}} = x^{m/n} }$
Then $\sqrt[32]{ x^{8} }= x^{8/32} = x^{1/4}$

Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.

3 0

3 years ago

Robbie wants to buy his friend a new phone for his birthday, Robbie’s job at the mall pays about $54 and an extra $1.50 per item

poizon [28]

He'd have to sell 268 items

268x $1.50 = 402

$402 + $54 = $456

7 0

3 years ago

This table shows the number of students at a school in the years 2014-2016, 2014 1,030 students 2015 ? students 2016 1,300 stude

vladimir1956 [14]

Answer:

it could be the number in 2015 is 2,330

Step-by-step explanation:

Just add the number of the students in 2014-2016.

1,030+ 1,300=2,330

4 0

3 years ago

The formula for the volume of a pyramid is =13ℎ

victus00 [196]

Answer:

h = V3B

Step-by-step explanation:

V = 1/3B · h

Divide volume by 1/3 B to get h by itself

V/1/3B = V3B

6 0

3 years ago

Marla did 64 sit-ups each day for one week. Use the distributive property to sow an expression you ca. Use to find the total num

ELEN [110]

Answer:

Marla did 64 sit ups each day for one week = (60*7)+(4*7)= 448

Marla did 64 sit ups each day for one week =(50*7)+(14*7)= 448

Marla did 64 sit ups each day for one week =(40*7)+(24*7)= 448

Step-by-step explanation:

Marla did 64 sit ups each day for one week = 64 *7 = 448

A distributive property allows us to multiply a sum by multiplying each addend separately first and then summing the products together.

64 sit ups could be written as 60+4, 50+14 or 40+24.

Apply the distributive property:

Marla did 64 sit ups each day for one week = (60*7)+(4*7)= 448

Marla did 64 sit ups each day for one week =(50*7)+(14*7)= 448

Marla did 64 sit ups each day for one week =(40*7)+(24*7)= 448

We can try any two numbers whose sum is 64 and all will give us the answer 448....

7 0

3 years ago