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2 years ago

Please help me complete this math problem, thank you very much!!!

Mathematics

1 answer:

Makovka662 [10]2 years ago

4 0

Answer:

B. 230

Step-by-step explanation:

The formula is 2(wl+hl+hw).

Use this formula for every rectangular prism.

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Ill i need to know is the fraction please

murzikaleks [220]

Answer:

6/10 i think

Step-by-step explanation:

625 divided by 15 is 41.6 so i'd be 40+1+6/10

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3 years ago

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Simply 7/4 squared

klemol [59]

Answer:

0.4375

Step-by-step explanation:

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3 years ago

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The number of sticks of gum varies directly as the number of packages. There are 36 sticks of gum in 2 packages. Suppose you hav

tangare [24]

Answer:

Each packet gives you 18 sticks of gum. If you asked how many in 5 packets it would be 90 sticks.

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2 years ago

If 37.5% of the 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?

Vinvika [58]

Answer:

225 lo comprarían

Step-by-step explanation:

Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100

37.5x600/100

37.5x 600= 22, 500

22,500/100= 225

<u>225 lo comprarían </u>

3 0

2 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.

5 0

3 years ago