Answer:
=0
Step-by-step explanation:
Solution:
3x+3/5 = 0
3•x+3/5 = 0
15x = -3
x = -1/
5
= -0.2
Answer:
Step-by-step explanation:
Using the rule of exponents
⇔ 
Given
= 
=
68
Explanation:
So to get this answer you need to split it into smaller shapes. We already have the squares so we know that 3*3 is 9 and then we double that because there are two of them.
So, so far we have 18+x
We need to take the middle shape and split it into two trapezoids.
The area for trapezoids is T=(a+b/2)h
So T= (3+7/2)5
T= 5*5=25
And then we would double that because there are two of them so 50 and then fill it in for x
18+50= 68 is the area of the figure.
Answer:
288 Cubic Inches
Step-by-step explanation:
Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.
First, do Base x Width x Height for the volume of the box.
10 inches x 3 inches x 1 foot (1 foot is 12 inches)
10 x 3 x 12 = 360
Now, take 80% of 360 cubic inches.
80% is 0.8 times a number
0.8 x 360 = 288
288 Cubic Inches
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have 
and 
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of 
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
