3x(5x2)=(3x5)x2 which property of multiplication does the equation show

Mathematics

1 answer:

Natalija [7]3 years ago

8 0

The Associative Property

You might be interested in

jamal is making pancakes. He has 6 3/4 cups of batter, but he needs a total of 12 cups. How much more batter does Jamal need?

vampirchik [111]

Jamil has already 6 3/4 cups of butter.
He need 12. SO in order to get the needed butter, we subtract 6 3/4 to 12.

= 12 - 6 3/4
= 11 4/4 - 6 3/4
= 5 1/4

So Jamil needs 5 1/4 cups of butter to achieve the 12 cups.

8 0

2 years ago

My daugher is trying to <br>Solve -7.8x=-1.56

Hunter-Best [27]

You would just have to isolate for x
so it would simply become
-1.56/-7.8
= 0.2

8 0

3 years ago

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$