<h3>
Answer: $44.10</h3>
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Work Shown:
5% = 5/100 = 0.05
5% of 42 = 0.05*42 = 2.10
tax = $2.10
total cost including tax = $42 + $2.10 = $44.10
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An alternative is to multiply 42 by 1.05 to get
1.05*42 = 44.10
We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.
Answer:
<em>x ≥ 2</em>
Step-by-step explanation:
Distribute 8:
8 (3.5x - 2) ≥ 40
28x - 16 ≥ 40
Add 16:
28x ≥ 40 + 16
28x ≥ 56
Divide by 28:
x ≥ 56 ÷ 28
x ≥ 2
Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
What options can you choose from? I guess it would be something like the medicine works or the medicine is not a placebo
Answer:
Step-by-step explanation:
You know the lengths of two sides and the angle between them, so use the Law of Cosines to find the third side.
x^2 = 10.5^2+ 5.4^2 -2(10.5)(5.4)cos20°
x ≈ 5.73 units
