Hey there!
It looks like we're factoring.
I always like to think of factoring as the opposite of the distributive property, and you'll see why.
First, we have to <em>factor</em> out a common <em>factor</em> from 21p and 35q, which we'll use as 7.
7 times 3p = 21p and 7 times 5q = 35q
Using our distributive property which is defined as:
a(b+c) = ab+ac we have:
7(3p + 5q)
Multiply it out and you'll get 21p and 35q.
Hope this helps!
Answer:
-175 or 175 along the x-axis in a negative direction
Step-by-step explanation:
The distance is the total length of the trajectory made by a moving object between two points. We need to find the total distance traveled by a particle over the time interval , so:
Let:
Using the equation provided by the problem:
For t=0
For t=7
Hence, the total distance traveled by the particle over the time interval 0≤t≤7 is:
Answer:
40
Step-by-step explanation:
5x16/2= 40
Answer:
85%
Step-by-step explanation:
Let’s identify all the outcomes less than 10, that would be 2-9
The number of times the die was rolled is obtainable by adding all the frequencies ;
That would be ;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100
Now let’s add the frequencies of results which are less than 10;
That would be the frequencies of the numbers 2-9;
Thus, we have;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 = 85
The required probability of rolling a number less than 10 = 85/100 = 0.85 which to the nearest percent is 85%