<h3>Answer:</h3>
2/15
<h3>Explanation:</h3>
There are 8C2 = 28 ways to choose 2 dimes from the 8 dimes in Annie's purse. There are 21C2 = 210 ways to choose 2 coins from the 21 coins in Annie's purse.
Of the 210 ways to choose 2 coins, 28 of the choices will result in 2 dimes being chosen. The probability of choosing 2 dimes is 28/210 = 2/15.
_____
<em>Comment on nCk</em>
The number of ways to choose k objects from n, when order does not matter, is ...
... n!/(k!(n -k)!)
For the computations above, we have ...
... 8C2 = 8·7/(2·1) = 28
... 21C2 = 21·20/(2·1) = 210
Answer:
3/2 x^2 y z^5
Step-by-step explanation:
24x^5y^2z^10 / 16x^3y z^5
split into pieces
24/16 * x^5/x^3 y^2/y z^10/z^5
when dividing exponents with the same bases, we subtract the exponents
3/2 x^(5-3) y^(2-1) z^(10-5)
3/2 x^2 y^1 z^5
Answer:
Step-by-step explanation:
You just replace 'x' for the value given, -10.
Answer:
x-3
Step-by-step explanation:
You can factor out a 3 from both terms of 3x^2 - 9x to get
3(x^2 - 3x)
The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
<h3>What is equation?</h3>
Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.
All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.
We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1
Let solve for y = 2/5x-1
in 6x - 15y = 15
⇒ 6x - 15(2/5x-1) = 15
⇒ 6x - 6x + 15 = 15
⇒ 15 = 15
⇒ This mans they have slope
⇒ 6x - 15y = 15 in y-intercept form
⇒ 15y = 6x - 15
⇒ 15y = 6x - 15
⇒ y = (6x - 15)15
⇒ y = 2/5x - 1
Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
Learn more about equation
brainly.com/question/2972832
#SPJ9
