3 years ago

How do I solve this

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

divide

Step-by-step explanation:

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A box of cereal states that there are 96 calories in a 3/4

IgorC [24]

Answer:

112 calories per cup

Step-by-step explanation:

Let x = unit rate for calories per cup,

Then (3/4)*x = 84

and x = 84*(4/3) = 112 calories per cup

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3 years ago

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500!!!!! please help ME I WILL GIVE BRANILEST AND ANYTHING ELSE U WANT AND I MEAN ANYTHING PLEASE PLEASE HELP ASAP

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2 years ago

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Mashcka [7]

Answer:

the bottom section

Step-by-step explanation:

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3 years ago

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

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3 years ago

What is the range of this function

Sati [7]

Answer:

B) {-8, -3, 5, 7}

Step-by-step explanation:

Range is a list of y values

= {-8, -3, 5, 7}

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