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Arada [10]
4 years ago
7

Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much

fence does Ben need to buy?
Mathematics
1 answer:
Flura [38]4 years ago
6 0

Answer:

696\frac{39}{100} meters fence

Step-by-step explanation:

Ben needs to replace two sides of his fence.

The length of one side of fence =  367\frac{9}{100} meters

The length of other side of fence = 329\frac{3}{10} meters

to calculate the length of fence that Ben need to buy we will add the length of both sides.

367\frac{9}{100} + 329\frac{3}{10}

= \frac{36709}{100} + \frac{3293}{10}

= \frac{36709+32930}{100}

= \frac{69639}{100}

= 696\frac{39}{100} meters

Ben need to buy  696\frac{39}{100} meters fence.

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Use the quadratic formula to solve the following equation -3x^2-x-3=0
tigry1 [53]

<u>Answer:</u>

x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i are two roots of equation -3 x^{2}-x-3=0

<u>Solution:</u>

Need to solve given equation using quadratic formula.

-3 x^{2}-x-3=0

General form of quadratic equation is a x^{2}+b x+c=0

And quadratic formula for getting roots of quadratic equation is

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In our case b = -1 , a = -3 and c = -3

Calculating roots of the equation we get

\begin{array}{l}{x=\frac{-(-1) \pm \sqrt{(-1)^{2}-4(-3)(-3)}}{2 \times-3}} \\\\ {x=-\frac{1}{6} \pm\left(-\frac{\sqrt{-35}}{6}\right)}\end{array}

Since b^{2}-4 a c is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.

\begin{array}{l}{\text { Hence } x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i \text { are two roots of equation - }} \\ {3 x^{2}-x-3=0}\end{array}

8 0
4 years ago
Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. Each apple cost $1.25 and eac
SIZIF [17.4K]

Answer: apples = 7 and bananas = 8

Step-by-step explanation:

Let x represent the number  of apples and y represent the number of banana,

and it was said that the total apples and bananas altogether is 15 , that is

x + y = 15 ................. equation 1

Also,

1.25x + 0.40y = 11.95 ............. equation 2

Solving the two equations simultaneously ,

From the first equation, x = 15 - y ........... equation 3

substitute equation 3 into equation 2, we have

1.25(15 - y) + 0.40y = 11.95

18.75 - 1.25y + 0.40y = 11.95

18.75 - 0.85y = 11.95

18.75 - 11.95 = 0.85y

6.8 = 0.85y

therefore y = 6.8/0.85

= 8

substitute y = 8 , into equation 3

x = 15 - 8

x = 7

Therefore , she bought 7 apples and 8 banana

4 0
3 years ago
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