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blsea [12.9K]
3 years ago
15

mike made a fruit basket of the total fruit 5 were apples 5/8 were bananas and 1/4 were oranges,how many pieces of fruit did mik

e use?​
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer: 5 7/8

Step-by-step explanation: 5 + 5/8 + 1/4= 5 7/8

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What is the MEAN of this data set? (3, 6, 3)
dlinn [17]

Answer:

mean=sum of data/no of data

=12/3

=4

Step-by-step explanation:

therefore mean=4

4 0
3 years ago
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Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the term a30 of the sequence.
GenaCL600 [577]
The answer is \frac {3}{2^{29}}
5 0
3 years ago
Factor completely: <br> x^3 - x^2 - 6x
PSYCHO15rus [73]

Answer:

x(x-3)(x+2)

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

GCF=x

2. Factor out the GCF and simplify.

x(x^{2} -x-6)

3. Factor x^{2} -x-6.

Which two numbers add up to -1 and multiply to -6?

<u>-3 and 2</u>

Rewrite the expression using the numbers above.

(x-3)(x+2)

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x(x-3)(x+2)

4 0
2 years ago
A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square
kondaur [170]
This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

V = xxy = x^{2}y

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:

Surface area of the square base = x^{2}

Surface area of the rectangular sides = 4xy

Therefore, the total area of the cube is:

A = 48 ft^{2} =  x^{2} + 4xy

Isolating the variable y in terms of x:

y =  \frac{48- x^{2} }{4x}

Substituting this value in V:

V =  x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

\frac{dv}{dx} = 48-3x^{2} =0

Solving for x:

x =  \sqrt{\frac{48}{3}} =  \sqrt{16} = 4

Solving for y:

y =  \frac{48- 4^{2} }{(4)(4)} = 2

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ft
Width =  4 ft
Height = 2 ft

And its volume is:

V = (4^{2} )(2) = 32 ft^{3}

8 0
3 years ago
A loan of $900 will be repaid in 36 installment payments of $30.22 each. What the finance charge for the loan?
zimovet [89]
First you need to multiply 36 *$30.22=$1087.92
This gives you the total amount paid

Then subtract 1087.92-900=187.92
This gives you the amount of money you paid in finance charges.
3 0
3 years ago
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