Answer:
1. x=1/3 2. x=2
Step-by-step explanation:
1.
3x+1 =2x+4x
3x+1 = 6x
1 = 6x-3x
1= 3x
x= 1/3
2.
10x + 4x -12 = 16
14x = 16+12
14x = 28
x= 28/14
x =2
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Answer:
The common difference is -1/2
Step-by-step explanation:
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant and is called the common difference
we have
a1=2/3
a2=1/6
a3=-1/3
a4=-5/6
so
a2-a1=1/6-2/3=-1/2
a3-a2=-1/3-1/6=-1/2
a4-a3=-5/6-(-1/3)=-5/6+1/3=-1/2
therefore
The common difference is -1/2
Answer:
Step-by-step explanation:
Area of the figure = Area of the arc with radius 10 yd and central angle 90° + Area of rectangle with dimensions (10 + 5 - 3 = 12) 12 yd and (7 + 6 - 4 = 9) 9 yd + Area of square with dimension 4yd + Area of rectangle with dimensions 3 yd by 2 yd + Area of triangle with base 3 yd and height (5 + 3 = 8) 8 yd.
Answer:
Step-by-step explanation:
Number of cats at veterinarian office = 2
Number of dogs at veterinarian office = 4
Total number of pets at veterinarian office = 2 + 4 = 6
Now, we need to find probability that 2 cats are seen in a row
⇒ No dog is seen between two cats
So, to find the required probability :
No. of favorable outcomes = 2
Total number of outcomes = 6