Two ratios that are equivalent are the same in value. We call these equivalent ratios. To find an equivalent ratio multiply or divide both of the numbers by a common number (or same number), this would be the exact same when finding equivalent fractions as well.
Step-by-step explanation:
height= 4b
length = 2 + b
volume = 60in³
or, l ×b × h = 60in³
or, (2+b) × b × 4b = 60in³
or, 4b²(2+b) = 60in³
or, 8b² + 4b³ = 60
or, 2b² + b³ = 15
or, b³ + 2b² -15= 0
b= 1.95
l= 2+1.95=3.95
h= 4×1.95 = 7.8
Answer:
20+0.50x
20 dollar fee, 0.50 per text, x represents an unknown number
Step-by-step explanation:
Use the least common denominator(LCD) to solve this equation:
1 + (-2/3) - (9/2)
so, what is the LCM of 3 and 2 : 6
so, the LCD = 6
1 + (-2 x 2/6) - (9 x 3/6)
the 1 = 6/6
Put it back into the equation:
6/6 + (-4/6) - (27/6)
Then, take it out of the parenthesis:
6/6 - 4/6 - 27/6
Simplify:
= - 25/6
which is the answer.
Hope that helped !! Have a great day now
Because M is the midpoint of AB, then AM and MB are equal distances. And because a segment can be written as the sum of its pieces, AM + MB = AB.
So,
AM + MB = AB <--- distance of a segment is the sum of its pieces
AM + AM = AB <--- M is the midpoint, so AM = MB
3x + 3 + 3x + 3 = 8x - 6 <--- substituting known amounts that were given
6x + 6 = 8x - 6 <--- collect like terms on the left side
6x = 8x - 12 <--- subtract 6 on both sides
-2x = -12 <--- subtract 8x on both sides
x = 6 <--- divide both sides by -2
Because x = 6, we put it back into AM. 3(6) + 3 = 18 + 3 = 21
Thus, AM is 21 units.
