Hello!

3x + 5 = x - 10
Solve for x by isolating the variable.
Subtract 5 from both sides:
3x + 5 - 5 = x - 10 - 5
3x = x - 15
Subtract x from both sides:
3x - x = x - x - 15
2x = -15
Divide both sides by 2:
2x /2 = -15 / 2
x = -15/2.
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.

.
So 0.000000016 expressed in scientific notation is 1.6x

, or in calculator notation 1.6E-8
We can conclude that the correct answers are <span>
1.6E-8 and </span><span>
1.6 × 10-8</span>
Answer:
P (A and B)=8/9
Events A and B are not dependent.
Step-by-step explanation:
Probability of A AND B means the the probability (favorable outcomes divided by total) of choosing someone who has/did BOTH A and B (not neither or only one of them). 16 did both, so the probability is 16/18 /2/2 = 8/9.
The events are independent (not dependent) because choosing A does not affect choosing B.
The width of one campsite is 30.5 yards.
The campsite area has a 1220 square yards and a width of 5 yards.
If we divide 1220 by 5, we see that the total length of the campgrounds must be 244 yards.
Now, divide 244 by 8 and you will get that each campground is 30.5 yards wide.
(Unless, you forgot to include the distance of the campground with the given width, that would change our answer)
Answer:
<em>0.5 < x < 14.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem
</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining those inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We are given two of the triangle side lengths as y=7.5 and z=7, thus the third side length (x) can be in the range:
7.5 - 7 < x < 7.5 + 7
0.5 < x < 14.5
<u>Note: The latter is the correct answer but none of the choices is accurate. Choice D is closer to the correct answer but the endpoints cannot be included.</u>