<span>n = n0(1 - 0.08)^t
= n0(0.92)^t
Putting n = n0 / 2:
1 / 2 = 0.92^t
t = log(1 / 2) / log(0.92)
= 8.31 yr.</span><span>
</span>
Step-by-step explanation:
Let's say S is the number of small boxes and L is the number of large boxes.
S + L = 26
7S + 13L = 254
Solve the system of equations using substitution.
7S + 13(26 − S) = 254
7S + 338 − 13S = 254
84 − 6S = 0
S = 14
L = 26 − S
L = 12
The company shipped 14 small boxes and 12 large boxes.
Here are the step for solving this:
1. 3y + 5 > 23
-5 -5
3y/3 > 18/3
y > 6
In words what you are doing is getting y by itself on one side. Subtract the 5 to undo the adding of 5 first. Then, divide both sides by 3.
Answer:
how rough it is as and kinda dry
Answer:
∠STU = 69°
Step-by-step explanation:
The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.
Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.
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Using these two relationships together, we realize angle V is twice the measure of angle T:
∠SVU = 2×∠STU
18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles
18x +12° = 36x -114° . . . . . eliminate parentheses
126° = 18x . . . . . . . . . . . add 114°-18x
∠STU = 18x -57° = 126° -57°
∠STU = 69°
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<em>Additional comment</em>
You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)
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<em>Alternate solution</em>:
(18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.
69° = 18x -57° . . . . . simplify. This is the answer to the problem.
