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How do you solve #10/(p+2)=4/3#?

Answer 1

Kennedy Adams

#p = 11/2#

Multiplication by cross:

#a/b = c/d#

#(a*d)=(b*c)#

Thus:

#10(3) = 4(p + 2)#

Divide the digits across the parenthesis.

#30 = 4p + 8#

Solve for #p#

#22 = 4p#

#p = 22/4#

#p = 11/2#

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Answer 2

Isaiah Anthony

To solve the equation ( \frac{10}{p+2} = \frac{4}{3} ), cross multiply to get ( 10 \cdot 3 = 4 \cdot (p + 2) ). Simplify both sides: ( 30 = 4p + 8 ). Then, subtract (8) from both sides to isolate (p): ( 22 = 4p ). Finally, divide both sides by (4) to solve for (p): ( p = \frac{22}{4} ). Simplify the fraction to get ( p = \frac{11}{2} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.