Answer:
2 : 3
Step-by-step explanation:
We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:
4 / 6 ⇒ the ratio here would be 4 : 6
We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:
4/2 : 6/2 ⇒ 2 : 3
2 and 3 don't share any factors other than 1, so we leave the ratio like this.
The answer is thus 2 : 3.
<em>~ an aesthetics lover</em>
If you would like to know the factored form of 125x^6 - 8, you can find this using the following steps:
125x^6 - 8 = (5x^2 - 2) * (25x^4 + 10x^2 + 4)
The correct result would be (5x^2 - 2) * (25x^4 + 10x^2 + <span>4).</span>
Answer:
Step-by-step explanation:
The pigeonhole principal states that if n items are put into m containers, with n > m then at least one container must contain more than one item.
In other words, to find the case where maximum attempts are required, we eliminate all the cases where our criterion is not met and we will be left with the desired result.
For this case, the box has 10 black socks and 12 blue socks.
10 black socks = 5 left foot ones and 5 right foot ones
12 blue socks = 6 left foot ones and 6 right foot ones
If we draw all left foot or right foot ones then we will not have a pair till 11 draws have been made.
The next socks drawn will be a right foot one of blue or black color and a pair will be made.
Therefore, the maximum number of socks needed to be drawn from the box are 12.
Answer:
y = - 2x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 12 + c ⇒ c = 5 + 12 = 17
y = - 2x + 17 ← equation of line