Answer:
x = 31
Step-by-step explanation:
AC=BD
3x+7 = 131-x
Subtract 7 from both sides
3x = 124-x
Add x to 3x
4x = 124
Divide by 4
x = 31
Check:
3(31)+7 = 131 - 31
Mulitply 3 times 31 / subtract 131 and 31
93+7 = 100
Add 93 to 7
100 = 100
Answer:
-2
Explanation:
The common difference of a sequence is the difference between consecutive terms. To find it, we subtract two consecutive terms.
1, -1, -3
1 and -1 are consecutive terms.
-1-1=-2
Therefore, the common difference is -2.
We can also try the same thing with -3 and -1, since they are also consecutive terms.
-3-(-1)
=-3+1
=-2
I hope this helps! Please comment if you have any questions.
Answer:
161 centimeters
Step-by-step explanation:
To find the total height, we need to find the wait of each individual box. Since we have five boxes stacked up on each other with a height of 115, we can divide 115 by 5 to get 23. Now that we know that each box is 23 centimeters tall, we can multiply that by 2 because 2 more boxes were added, and then add that to 115.
115/5=23
23*2=46
46+115=161
Hope this helps!
Answer:
200 messages
Step-by-step explanation:
Let m = number of messages.
Plan A: 0.1m + 40
Plan B: 60
0.1m + 40 = 60
0.1m = 20
m = 20/0.1
m = 200
Answer: 200 messages
Answer:
99.7% data lies between 13 to 43
Step-by-step explanation:
Mean: 
Standard deviation : 
68% of data lies between 
to 
95% of the data lies between 
to 
99.7% data lies between 
to 
We are supposed to find 99.7 of the data will lie between which values
99.7% data lies between 
to 
99.7% data lies between 13 to 43
Hence 99.7% data lies between 13 to 43
