Answer:
40
Step-by-step explanation:
ABD-CBD=ABD
70-30=40
Answer:
The probability it will land on green every time is
.
Step-by-step explanation:
We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.
The pointer is spun three times.
<u>As we know that the probability of an event is described as;</u>
Probability of an event =
Here, the favorable outcome is that the spinner will land on green every time.
So, the number of green regions = 2
Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions
<em>Now, the probability it will land on green every time is given by;</em>
Probability =
=
= 
Hence, the probability it will land on green every time is
.
Answer:
x = 10
y = 3
Step-by-step explanation:
Given
2x - 6y = 2
x + 6y = 28
Add both equations
2x + x -6y + 6y = 2 + 28
3x = 30
Divide both sides by 3
x = 30/3
x = 10
Substitute 10 for x in either equations to get y
Using equation 2 , we have
x + 6y = 28
10 + 6y = 28
Subtract 10 from both sides
10 - 10 + 6y = 28 - 10
6y = 18
Divide both sides by by 6
y = 18/6
y = 3
Therefore
x = 10
y = 3
Answer:
<h2><em>
5i+14j-7k</em></h2>
Step-by-step explanation:
Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;
u = 4i+7j-3k and v = 2i-7j+5k
To get 3u-v, we will substitute the given vectors into the expression;
3u-v = 3(4i+7j-3k) - (2i-7j+5k)
open the parenthesis
3u-v = 12i+21j-9k - 2i + 7j - 5k
collect like terms
3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)
3u - v = 10i+28j-14k
To simplify the answer, we will divide through by 2
3u - v = 10i/2+28j/2-14k/2
<em>3u - v = 5i+14j-7k</em>
<em>Hence the simplified form of the expression is 5i+14j-7k</em>