X=-1/3 for <span>54x + 18
</span>x=1/3 for <span>18(3x – 1)
</span>x=-1/9 for <span>(6 • 9x) + (6 • 1)</span>
Answer:
P(0,0) = 2/12 times 1/11 = 1/66
Step-by-step explanation:
For probability questions, think of each event happening separately, it makes the maths easier to understand. For example, in this question, do not think of the two boys taking a fruit at the same time - that makes the maths complicated
.
Let Daniel take a fruit first, then Sean can take a fruit. There are two parts to consider.
P
r
o
b
a
b
i
l
i
t
y
=
number of desirable outcomes
total number of possible outcomes
For Daniel: there are 12 different pieces of fruit in the bowl, he just takes one without choosing a specific fruit. (random)
The chance that Daniel takes an orange is
2
12
Of the 12 pieces of fruit. 2 are oranges.
Now Sean: the numbers of fruit in the bowl have changed. There are now only 11 pieces of fruit in the bowl, and only 1 is an orange.
The chance that Sean takes an orange is
1
11
Given:
Consider the vertices of the triangle are (4,4) (6,7) and (8,0).
The triangle is dilated by a scale factor of 3.
To find:
The vertices of the new triangle after dilation.
Solution:
If a figure is dilated by scale factor k with origin as the center of dilation, then the rule of dilation is:
The given figure is dilated by scale factor 3 with origin as the center of dilation, then the rule of dilation is:
Let the vertices of the triangle are A(4,4), B(6,7) and C(8,0).
Using this rule of dilation, we get
Similarly,
And,
The vertices of the new triangle are (12,12), (18,21), (24,0).
Therefore, the correct option is 4.
Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
Yes because you would pay less if the 20% was taken off first because it would be a lower amount since your taking a percent of the whole total and not combining the two
