The expression to evaluate is 32 + (8 - 2) * 4 - 6/3.
In the first step you can solve the parenthesis and the fraction => 32 + (6)*4 - 2.
In the second step you mutiply 6*4 => 32 + 24 - 2.
Finally, you do the maths: 32 + 24 - 2 = 54.
<span>Answer: 54</span>
Answer:
x=9
Step-by-step explanation:
These two angles are equal since they are alternate exterior angles
-1 +14x = 12x+17
Subtract 12x from each side
-1 +14x-12x = 12x-12x+17
-1+2x= 17
Add 1 to each side
-1+1+2x = 17+1
2x = 18
2x/2 = 18/2
x =9
(3, -2) satisfies both equations. 3-2=1, and -3-2=-5.
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.