Answer: The estimate is 200
Step-by-step explanation:
The exact amount would be 204 teddy bears, but you would it down to 200.
About 68 cents (9.95 / 100 = 0.0995 * 6.8 = 0.6766
Answer:
<em>The larger gear will rotate through 156°</em>
Step-by-step explanation:
<u>Arc Length</u>
The arc length S of an angle θ on a circle of radius r is:
Where θ is expressed in radians.
The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.
Convert the angle to radians:
The arc length of the smaller gear is:
The larger gear rotates the same arc length, so:
Solving for θ2:
The larger gear will rotate through 156°
Answer:
C; None of the above.
Step-by-step explanation:
Pretend x=1, y=0, and z=2.
You have to match an answer to 1+0-2 (equals to -1).
The first equation would be 2+0+1. When you add them all together you get 3, and that isn't equivalent to -1, so therefore this one is not the answer.
The second equation becomes 1+2+0, and when you solve for the answer, you see that the answer is also 3, and so we can conclude that neither A or B matches with the equation above, so the answer is C, None of the above.
9514 1404 393
Answer:
(x, y) = (-3, -5) and (1, 3)
Step-by-step explanation:
Equate the expressions for y.
-x^2 +4 = 2x +1
4 = x^2 +2x +1 . . . . . add x^2
4 = (x +1)^2 . . . . . . . . rewrite as square
±2 = x +1 . . . . . . . . . . take square root
x = -1 ±2 = {-3, 1} . . . . subtract 1
y = 2x +1 = 2{-3, 1} +1 = {-6, 2} +1 = {-5, 3} . . . . find corresponding y-values
The solutions are ...
(x, y) = (-3, -5) and (1, 3)