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3 years ago

Use the commutative and associative properties of multiplication to write an expression equivalent to (4⋅5)⋅3.

1 answer:

4 0

Commutaive property says
ab=ba or expanded to say
abc=cba

associative peropty =
a(bc)=(ab)c

so using that
first mix them up knowing that we can move the parenthaseese
all possible equivelnt ones are
4*(5*3)
(3*5)*4
3*(5*4)
(3*4)*5
3*(4*5)

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Simplify each expression

Rasek [7]

Answer:

= a⁸/b⁻¹⁰

Step-by-step explanation:

Simplify the expression

(a^2b^-3/a^-2b^2)^2

= a⁴b⁻⁶/a⁻⁴b⁴

Using the law of indices

= a⁴⁻⁽⁻⁴⁾/b⁻⁶⁻⁴

= a⁴⁺⁴/b⁻¹⁰

= a⁸/b⁻¹⁰

6 0

2 years ago

Solve this system of equations: X=? Y=? ( JUST WRITE THE NUMBER ANSWERS WITH A COMMA BETWEEN THEM)

hjlf

Answer:

Therefore the Final Solution is

x = 2 and y = 4

( 2 , 4 )

Step-by-step explanation:

Given:

$y=2x$ ...............Equation ( 1 )

$x=-y+6$ ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Substitute Equation ( 1 ) in Equation ( 2 ) we get

$x=-2x+6\\\\3x=6\\\\3x=6\\\\x=\frac{6}{3} \\\\\therefore x =2$

Now Substituting x = 2 in Equation ( 1 ) we get

$y =2\times 2\\\\\therefore y=4$

Therefore the Final Solution is

x = 2 and y = 4

( 2 , 4 )

4 0

3 years ago

Find the percent of increase from 12 pencils to 18 pencils.

nalin [4]

18-12/12 *100

6/12*100

1/2*100

50%

7 0

3 years ago

Joshua is going to mow lawns during his summer break. The graph in the figure shows a linear relationship between the number of

eduard

The answer would be C because you would do 60 x 25 which would give you 1,500

6 0

3 years ago

Read 2 more answers

After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum

Svetlanka [38]

Answer: 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ , where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e. $n\ \alpha\ \dfrac{1}{E^2}$

By the equation inverse variation, we have

$n_1E_1^2=n_2E_2^2$

Given : $E_1=0.05$ $n_1=1000$

$E_2=0.025$

Then, we have

$(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000$

Hence, the sample size will now have to be 4000.

6 0

2 years ago