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IgorLugansk [536]
2 years ago
12

Suppose p varies directly with d and p=3 when d=5. What is the value of d when p=12

Mathematics
1 answer:
ololo11 [35]2 years ago
8 0

Answer:

Answer: <u> </u><u> </u><u>d</u><u> </u><u>is</u><u> </u><u>2</u><u>0</u><u> </u>

Step-by-step explanation:

{ \rm{p \:  \alpha \: d}} \\  \\ { \rm{p = kd}}

k is a constant of proportionality

• When p = 3, d = 5.

{ \rm{3 = (k \times 5)}} \\  \\ { \rm{k =  \frac{3}{5} }}

• Therefore, equation becomes;

{ \rm{p =  \frac{3}{5} d}}

• Let's find d when p is 12;

{ \rm{12 =  \frac{3}{5}d }} \\  \\ { \rm{d =  \frac{12 \times 5}{3} }} \\  \\ { \underline{ \underline{ \rm{ \:  \: d = 20 \:  \: }}}}

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