Final answer:
To solve the proportion (2p+3)/3 = (4p-7)/2, cross-multiply to find the value of p which is 3.375, which can be rounded to 3.38 to the nearest hundredth.
Step-by-step explanation:
To solve the proportion, you need to find the value of p that makes the following equation true: (2p+3)/3 = (4p-7)/2. First, you can do this by cross-multiplying to eliminate the fractions:
2(2p+3) = 3(4p-7)
Apply distributive property:
4p + 6 = 12p - 21
Now, solve for p by rearranging the equation:
6 + 21 = 12p - 4p
Combine like terms:
27 = 8p
Divide both sides by 8:
p = 27/8
p = 3.375
If necessary, round to the nearest hundredth, which gives p = 3.38.
Complete question:
content loaded
Solve the proportion. If necessary, round to the nearest hundredth.. (2p+3)/3 = (4p-7)/2