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Marta_Voda [28]
2 years ago
15

Suppose that y is directly proportional to x, and y = 150 when x = 15. What is the constant of proportionality?

Mathematics
1 answer:
galina1969 [7]2 years ago
3 0

Answer:  The required constant of proportionality is 10.

Step-by-step explanation:  Given that y is directly proportional to x, and y = 150 when x = 15.

We are to find the constant of proportionality.

According to the given information, we can write

y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~[\textup{where k is the constsnt of propotionality}].

When y = 150 and x = 15, we get from the above equation that

y=kx\\\\\Rightarrow 150=k\times15\\\\\Rightarrow k=\dfrac{150}{15}\\\\\Rightarrow k=10.

Thus, the required constant of proportionality is 10.

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Question

The original price of a camera is $150. If a discount of 30% is given, what is the amount of this discount ?


150 : 100 * 30 =

45$ is your answer

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4 0
3 years ago
Does anyone know what graph to choose?
skad [1K]
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             →  {among the two graphs provided as answer choices.}.
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<u>Note</u>:
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 The line drawn on the graph shown on the "first graph" — (that is, the graph shown to the far left, among the two graphs provided as answer choices) — reflect the linear equation given:
 
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and the line shown on the "first graph shown to the left" consists of the coordinates reflected on the table given:

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Note that the "second graph, to the far right, is incorrect;  the line provided in the "second graph" shows that:

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8 0
3 years ago
What is 1 6/9 +5 9/7
lisabon 2012 [21]

\longrightarrow{\green{7  \frac{20}{21}}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

1 \frac{6}{9}  + 5  \frac{9}{7}  \\   \\ =  \frac{15}{9}  +  \frac{44}{7}  \\  \\  =  \frac{15 \times 7}{9 \times 7}  +  \frac{44 \times 9}{7 \times 9}  \\  \\  =  \frac{105 + 396}{63}  \\  \\  =   \frac{501}{63}  \\  \\  =  \frac{167}{21}  \\  \\  = 7  \frac{20}{21}

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}

6 0
2 years ago
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AysviL [449]

Answer:

12.67

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7 0
3 years ago
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152.6315 is because If you dived 870 by 5.7 it will be that.
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