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Angelina_Jolie [31]
3 years ago
12

There are 32 peanuts in a bag and. Elliot Takes 25% of the peanuts from the bag. Then Marie takes 50% of the remaining peanuts .

How many peanuts are left?
Mathematics
1 answer:
DedPeter [7]3 years ago
7 0
25% of 32= 8
8-32=24
50% of 24=12
24-12=12
There would be 12 peanuts left
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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

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

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
13. Which equation is equivalent to 8x + 4y = -24?
7nadin3 [17]

Answer:

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Step-by-step explanation:

Given

8x + 4y = - 24 ( divide each term by 4 )

2x + y = - 6 ← is an equivalent equation

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Step-by-step explanation: <em> I Hope this helps</em>

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