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IrinaK [193]
3 years ago
10

The equation y = 26.2x represents the number of miles y Conrad runs in x marathons. Determine if there is a constant of variatio

n. If so, explain what it represents.
Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

Answer:

Yes, there is a constant of variation

Step-by-step explanation:

Let's see, we have a linear equation that is as follows:

<em>y = 26.2 * x. </em>

The first thing is to say that there is a constant of variation and it is the constant number of the equation, that is 26.2. And second to mention that it is the reason (or quantity, whether proportional or direct) for which the input data (i.e. x) and the output data (i.e. y) vary.

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In Figure 1, the battery inside the flashlight contains energy that is usually stored in the form of________.
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C. chemical energy is what it's stored in the form of

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Chad is eating a 50-gram chocolate bar which contains 30% cocoa. How many grams of cocoa are in the chocolate bar?
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Answer: 15 grams

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3 years ago
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
dolphi86 [110]

Answer:

  • Length = 17 inches

  • Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( 2x + 5  )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 58  - 10}}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 48}}}}

⠀

{\longrightarrow \qquad { {\sf{ x =  \dfrac{48}{4} }}}}

⠀

{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\:  \:  \bigstar

⠀

Therefore,

  • The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}

⠀

Therefore,

  • The length of the rectangle is 17 inches .

⠀

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