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Alexeev081 [22]
3 years ago
6

The length of a rectangle is 3 inches more than three times the width. The perimeter is 62 inches. Find the length and width.

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

length= 24 inches

width= 7 inches

Step-by-step explanation:

Start by writing down what you know.

width= w

length= 3w+3

Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.

62= 2(3w+3) + 2(w)

62=6w+6+2w

62=8w+6

56=8w

7=w

Now, plug this into our original equations for length and width:

width=7

length= 3(7)+3, so 24

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Answer:

No

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Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

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d. The equation t = d + 16 represents the scenario.

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Answer:

OPTION (b) and (e) are the true statements.

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Given:

t=> time in hours that she rides

d=>  distance she rides

We have to find the statements that are true of the scenario.

Solution:

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Equation for distance according to function is  f(t)=16t

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

t\geq0

Function's range is the interval⇒ [0,∞)

f(t)\geq0

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b) The distance traveled depends on the amount of time Marlene rides her bike

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e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that f(t)=16t

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because 16 is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because t = d + 16 donot represents the scenario.

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