A circle is centered at \( ( 4,1 ) \) , and has a radius of \( 1 \) . If the circle is rotated about the line \( y = 2 \) , what will be the resulting three-dimensional figure? O Cylinder O Cylinder with a hole through the center O Hemisphere O Sphere O Doughnut Shape
Question
Answer
Doughnut Shape
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On a map, each inch represents \( 6.5 \) miles. What is the distance represented by \( 6 \) inches?
Step \( 1 \) of 2: Set up the proportion for the word problem. Use \( x \) as the unknown variable.
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Ali's latest photo got \( 42 \) likes. This is \( 3 \) times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using \( x \) to represent Kate's likes.
A. \( 3 x = 42 \) . Divide both sides by \( 3 \) . Kate's photo got \( 14 \) likes.
B. \( \frac { x } { 3 } = 42 \) . Multiply both sides by \( 3 \) . Kate's photo got \( 126 \) likes.
C. \( x + 3 = 42 \) . Subtract \( 3 \) from both sides. Kate's photo got \( 39 \) likes.
D. \( x - 3 = 42 \) . Add \( 3 \) to both sides. Kate's photo got \( 45 \) likes.
Q:
Ali's latest photo got \( 42 \) likes. This is \( 3 \) times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using \( x \) to represent Kate's likes.
A. \( 3 x = 42 \) . Divide both sides by \( 3 \) . Kate's photo got \( 14 \) likes.
B. \( \frac { x } { 3 } = 42 \) . Multiply both sides by \( 3 \) . Kate's photo got \( 126 \) likes.
C. \( x + 3 = 42 \) . Subtract \( 3 \) from both sides. Kate's photo got \( 39 \) likes.
D. \( x - 3 = 42 \) . Add \( 3 \) to both sides. Kate's photo got \( 45 \) likes.
Q:
Ali's latest photo got \( 42 \) likes. This is \( 3 \) times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using \( x \) to represent Kate's likes.
A. \( 3 x = 42 \) . Divide both sides by 3. Kate's photo got \( 14 \) likes.
B. \( \frac { x } { 3 } = 42 \) . Multiply both sides by \( 3 \) . Kate's photo got \( 126 \) likes.
C. \( x + 3 = 42 \) . Subtract \( 3 \) from both sides. Kate's photo got \( 39 \) likes.
D. \( x - 3 = 42 \) . Add \( 3 \) to both sides. Kate's photo got \( 45 \) likes.
Q:
While driving from his house to the beach, Cameron passed a sign that read "Beach: \( 21 \) Miles." If the distance from Cameron's house to the beach is \( 46 \) miles, how many miles had Cameron already traveled?
A. \( 21 + x = 46 \)
B. \( 46 + x = 21 \)
C. \( x - 46 = 21 \)
D. \( x - 21 = 46\)