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2 years ago

8 people want to share a large pizza.Use a ratio to express how many pieces each person gets if the pizza is divided equally

Mathematics

1 answer:

jenyasd209 [6]2 years ago

6 0

Answer:

1/8

Step-by-step explanation:

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If she spent a total of $44.25 on fabric, what was the cost per yard? She bought 14 3/4. Explain how you solved

Deffense [45]

$44.25 \div 14.75 = 3$
$44.25 total divided by how many yards (14.75) = $3/yard

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3 years ago

Ignore my answer but which one is it

Phantasy [73]

Answer:

Step-by-step explanation:

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2 years ago

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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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2 years ago

Explain how System 1 becomes equivalent to System 2.

Nostrana [21]

Answer:

$\left\{\begin{array}{ccc}(A+L)x+(B+M)y=C+N\\Ax+By=C\end{array}\right$

<h3>A.The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.</h3>

Step-by-step explanation:

$\underline{+\left\{\begin{array}{ccc}Ax+By=C\\Lx+My=N\end{array}\right}\qquad\text{add both sides of the equations}\\(Ax+Lx)+(By+My)=C+N\qquad\text{distributive}\\(A+L)x+(B+M)y=C+N$

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2 years ago

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Hunter is copying an angle. His work so far follows. Explain the importance of his next step, which is drawing a line through A

Vaselesa [24]

Answer:

This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Step-by-step explanation:

The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...

This is the other ray that will make up the angle ∠AYZ and will complete the construction.

6 0

3 years ago