−10x + 1 + 7x = 37
combine like terms
-3x + 1 = 37
subtract 1 from both sides
-3x = 36
divide both sides by (-3)
x = - 12
Answer
x = - 12
Answer:
137°
Step-by-step explanation:
So, both are equal to each other due to them being the same degree angle.
5x+7=8x-71
subtract 5x on both sides
7=3x-71
add 71 to both sides
77=3x
divide both sides by 3
77/3=x
x equals about 26
insert x into the problems
[5(26)+7]°
this equals 137°
[8(26)-71]°
this equals 137°
Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M±
where
- M is the average track length (12 μm) in the report
- t is the two tailed t-score in 99% confidence interval (2.977)
- s is the standard deviation of track lengths in the report (2 μm)
- N is the total number of tracks (15)
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12±
=12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537
Answer:
1017.36 square miles
Step-by-step explanation:
Since the diameter of a circle is twice the radius, the radius of this circle is 36/2=18. Since the area of a circle is
, the area of this circle is:

Hope this helps!
Answer:
Step-by-step explanation:
Givens
x + y = 2
x - y = 6
Solution
Just add the two equations together. The y's will drop out.
x + y = 2
<u>x - y = 6 </u> Add
2x = 8 Divide by 2
2x/2 = 8/2 Combine
x = 4 Substitute x = 4 into the top equation
x + y = 2
4 + y = 2 Subtract 4 from both sides
4-4+y=2-4 Combine
y = - 2
Answer
x = 4
y = -2