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ikadub [295]
3 years ago
6

Three numbers are in the ratio 3:4:5. If the sum of their cubes is 216000, find the largest of these three numbers.

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

50

Step-by-step explanation:

Let the numbers be 3x, 4x, 5x

(3x)^3 + (4x)^3 + (5x)^3 = 216000

27x^3 + 64x^3 + 125x^3 = 216000

216x^3 = 216000

x^3 = 1000

x = 10

5x = 5(10) = 50

Answer: 50

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nydimaria [60]

Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

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7 0
3 years ago
A triangle has side lengths of 10 cm, 24 cm, and 32 cm. Classify the triangle as acute, obtuse, right of not a triangle.
Stolb23 [73]
It would be obtuse.   
8 0
3 years ago
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Help!!!! please!!!!<br> thank you!!!!!!
pentagon [3]

Answer:

18) 6x^2-7x-5

19) 20x^2+17x-63

20) 18x^2-20x+2

21) 5x^2+42x+16

Step-by-step explanation:

Perimeter=length×breadth

18) (3x-5)(2x+1)

=6x^2+3x-10x-5

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20) (18x-2)(x-1)

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21) (5x+2)(x+8)

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6 0
3 years ago
What’s bigger 10 to the -11 power or 10 to the -9 power ?
Stella [2.4K]

Answer:

I believe its 10 to the -9th power.

Step-by-step explanation:

5 0
3 years ago
Someone please help me with this
Nadusha1986 [10]
Since 2 sides of the triangle are the same, it's an isosceles triangle.
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A triangle has 180 degrees total.

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3 years ago
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