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Margarita [4]
3 years ago
11

Four siblings buy a gift for their father on his birthday. Each sibling contributes (pays) the same amount of money towards the

gift.
The gift ends up coming to $63 and after paying for the gift, there is some money left over which the siblings equally split.

Write an expression to represent the amount of money each sibling will get back after the gift is paid for. Use x to represent the amount of money paid by each sibling.

If each sibling contributed $18 towards the gift, how much money did each sibling get back?

tip: they have paid a total of 40 dollars, so subtract what they bought, which should be 3 times each of the items added together.
Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

63÷4=$15.75(each sibling gave which made it up to $63)

63-40=$23(amount added together-amount paid)

$23÷4=$5.75(each sibling got back)

63-5.75x

if each contributed $18:

18×4=$72(each contribute 18 dollars so multiply by 4 because 4 siblings)

72-40=32(minus 40 from amount they contributed)

32÷4=$8(divide by 4 to see what each sibling got)

Each sibling got back $8

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Answer:

512\ \text{in}^2

Step-by-step explanation:

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Volume of the box is 16384\ \text{in}^3

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Surface area is given by

s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}

Differentiating with respect to x we get

s'=2x-\dfrac{131072}{x^3}

Equating with 0 we get

0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16

s''=2+\dfrac{393216}{x^4}

at x=16

s''=2+\dfrac{393216}{16^4}=8>0

So the function is minimum at x = 16

y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64

The material required is

s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2

The minimum amount of material required is 512\ \text{in}^2.

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How do I do this? Help????!!!
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E=4.5 because 9.5-5=4.5
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J= x=9 because 99 divided by 11 = 9
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Consider the expression 6x-1=11+5x what is the value of X
Mama L [17]

Answer:

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Step-by-step explanation:

have a great day

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Step-by-step explanation:

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