Answer: 15
Step-by-step explanation: The common denominator for these 2 fractions is simply the least common multiple for the 2 denominators.
To find the least common multiple or <em>lcm</em> of 3 and 5, we begin by listing the first few multiples of each number.
<em>Multiples of 3</em>
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
We skipped 0 x 3 because our lcm can't be 0.
Next we list the multiples of 5.
<em>Multiples of 5</em>
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
Notice that 15 appears in both lists so
our least common denominator is 15.
Answer:
600/mph
Step-by-step explanation:
Answer:
x y
0 -1
-1 0
-8 7
Step-by-step explanation:
y = -x - 1
when x = 0, y = -1
when y = 0
0 = -x - 1
x = -1
when x = -8,
y = -(-8) - 1
y = 7
(6) 70, 70, 110
∠2 = ∠4 = 110° ( congruent angles )
∠3 = 180° - 110° = 70° ( straight angle )
∠1 = 70° ( vertically opposite ∠3 )
(9) ∠AEC = 15x - 11
since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11
(7) x = 3
AC = AB + ABC = 32
2x + 6x + 8 = 32
8x + 8 = 32 ( subtract 8 from both sides )
8x = 24 ( divide both sides by 8 )
x = 3
8 cups because 4 cups are in 1 quart :)
