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2 years ago

Which is the greatest fraction in this list? 1/2,3/4,5/8,11/16

Mathematics

1 answer:

astra-53 [7]2 years ago

7 0

Answer:

3/4

Step-by-step explanation:

multiply each fraction by 100 or you could find the LCM

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Identify whether the expressions are equivalent or not equivalent: 11(p + q) and 11p + (7q + 4q)

Stella [2.4K]

Answer:

Yes they are

Step-by-step explanation:

11(p+q) = 11p + 11q

---------------------------

11p + (7q+ 4q)

= 11p + ( q * (7+4))

= 11p + (q * 11)

= 11p+ 11q

See they are the same

3 0

2 years ago

Please answer below :-)

mestny [16]

Answer:

A: 18

Step-by-step explanation:

Hopefully this helps!

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

2 years ago

Set up an algebraic equation and then solve the following problems. The height of an object dropped from the top of a 64-foot bu

ycow [4]

0=-16t^2 +64

0=-16(t^2 - 4)

0=-16(t-2)(t+2)

t=2 or - 2

It will take two seconds for the object to hit the ground.

7 0

3 years ago

HELP ME PLEASE! (25 POINTS!)

kumpel [21]

Answer:

Step-by-step explanation:

$60 * 3% = $1.80

y = 1.80x + $60

12 * 2 = 24

24 = x

y = 1.80(24) + $60

y = $43.20 + $60

y = $103.20

4 0

2 years ago