Answer:
16
Step-by-step explanation:
6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.
4x=10
x=2.5
JM=15-7=8 and MK=5+3=8
8+8=16
Answer:
.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So
In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So
In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer: x = 1
Answer:
<h3>$27.34</h3>
Step-by-step explanation:
32 x 0.20 = $6.40
32 - 6.4 = $25.60
25.6 x .0675 ≈ 1.738
25.6 + 1.738 = 27.338 ≈$27.34
The correct answer is -1.
In order to solve this, we need to split into the positive and negative version of the answers. Let's start with the positive version.
2 - x < 4
-x < 2
x > -2 ----> NOTE: When we divide by -1, we have to change the direction of the sign.
Now we'll do the negative version.
2 - x > -4
-x > -6
x < 6
So we know the number must be greater than -2, but less than 6. The only number on this list that fits that is -1.
