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3 years ago

7

There are originally five white sheep and seven black sheep. then a wolf eats two sheep of each color. after the wolf has eaten,

what is the multiplication or product of the number of white and black sheep

1 answer:

kumpel [21]3 years ago

8 0

Final number of white sheep = 5 - 2 =3

Final number of black sheep = 7 - 2 = 5

ANSWER product = 3*5 = 15

$\textbf{Spymore}$

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Alistair has a rectangular picture measuring 8 inches by 7 inches. He makes a frame for the picture, shown by the shaded area in

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Answer:

1) Equation to model the area of frame is $34= (8+2x)\times (7+2x)$

2) The equation is quadratic.

3) The width of picture fame is $\frac{-15\pm \sqrt{137}}{4}$

Step-by-step explanation:

Given: Dimension of rectangular picture is 8 inches by 7 inches

Area of picture frame is 34 inches²

Solving to find the dimension of picture frame.

Assuming that picture frame has uniform width of "x".

using the area of rectangle formula to solve.

Area of frame= $length\times width$

$34= (8+2x)\times (7+2x)$

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dividing both side by 2

⇒ $2x^{2} +15x+11=0$

Solving by using quadratic formula.

Formula: $\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}$

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Now, subtituting the value in the formula.

= $\frac{-15\pm \sqrt{15^{2}-4(2\times 11) } }{2\times 2}$

= $\frac{-15\pm \sqrt{15^{2}-4(22) } }{4}$

Opening parenthesis.

= $\frac{-15\pm \sqrt{225-88 } }{4}$

= $\frac{-15\pm \sqrt{137}}{4}$

∴ x= $\frac{-15\pm \sqrt{137}}{4}$

Hence; 1) Equation to model the area of frame is $34= (8+2x)\times (7+2x)$

2) The equation is quadratic.

3) The width of picture fame is $\frac{-15\pm \sqrt{137}}{4}$

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