In this problem “like terms” has two groups: one with a number and y, and one with just numbers. First I’ll rewrite the equation with the terms in a different order, grouped with like terms. Then we’ll do the math for them:
7y + 10 + 3y - 4 - 6y
= 7y + 3y - 6y + 10 - 4
= 10y - 6y + 6
= 4y + 6
Let me know if you have questions on this.
Answer:
x = 2
UV = 9 ft
VW = 6 ft
WU = 5 ft
Step-by-step explanation:
The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:
P = UV + VW + WU
Now, we can substitute the values which we have:
20 = 4x + 1 + 8 - x + 2x + 1
We can combine like terms...
20 = 5x + 10
5x = 10
x = 2
Since UV is represented by 4x + 1, we can substitute in x to find its length.
UV = 4x + 1
UV = 4(2) + 1
UV = 6 + 1
UV = 9
We can do the same for the other two sides:
VW = 8 - x
VW = 8 - 2
VW = 6
WU = 2x + 1
WU = 2(2) + 1
WU = 4 + 1
WU = 5
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<span>The results are independent:
P(2 heads) = 1/4
P(roll a 4) = 1/6
</span><span>P(2 heads and a 4) = (1/4)(1/6) = 1/24</span>
Answer:
A) 
B) 
C) 
D)
Step-by-step explanation:
Hope this helps.
