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1 year ago

What are the factors in the expression 3(x + 8)

Mathematics

1 answer:

podryga [215]1 year ago

7 0

The factors of the expression are 3 and (x+8).

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A dog trainer has 96 ft of fencing that will be used to create a rectangular work area. Encloses area of 320 ft^2. What will be

Anastaziya [24]

Answer:

The dimensions of the area will be 8 ft x 40 ft

Step-by-step explanation:

Area and Perimeter

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

$A=wl$

$P=2w+2l$

The dog trainer has 96 ft of fencing to cover a $320 ft^2$ rectangular area. This means that

$wl=320$

$2w+2l=96$

A system of equations is formed

$\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right$

We divide the last equation by 2

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Operating and arranging

$l^2-48l+320=0$

$(l-8)(l-40)=0$

We have two possible answers

$l=8,\ l=40$

Which gives us

$w=40,\ w=8$

In any case, the dimensions of the area will be 8 ft x 40 ft

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Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05." Write a system

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Answer:

The system of equations is given as:

x + y = 2.5 .... Equation 1

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Step-by-step explanation:

Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05

Let

x represent red lentils

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x + y = 2.5 .... Equation 1

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$1.80 × x + $1.80 × y = $4.05

1.80x + 1.80y = 4.05....Equation 2

The system of equations is given as:

x + y = 2.5 .... Equation 1

1.8x + 1.8y = 4.05....Equation 2

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1 year ago

What are the factors in the expression ​3(x + 8)

What are the factors in the expression 3(x + 8)