What is the answer to 4+4-(5-1)

Mathematics

1 answer:

Zanzabum3 years ago

6 0

Your answer would be 4 you go with P.E.M.D.A.S so (5-1)= 4 then 4+4=8-4=4

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You are planning to make an open rectangular box from a 25-in.-by-49-in. piece of cardboard by cutting congruent squares from

Darya [45]

Answer:

The dimensions of the box are 38.48 x 14.48 x 5.26 in.

Step-by-step explanation:

We will have a piece of cardboard with squares of side x cut from the corners to make a open box.

The volume of the box can be written as:

$V=A\cdot B\cdot x\\\\V=(49-2x)\cdot (25-2x)\cdot x\\\\V=x\cdot (4x^2-2x*(49+25)+49*25)\\\\V=4x^3-148x^2+1225x$

To calculate the maximum volume, we derive and equal to zero

$dV/dx=12x^2-296x+1225=0$

We apply the quadratic equation to know the roots of the equation

$x=\frac{-b\pm\sqrt{b^24ac}}{2a}\\\\x=\frac{296\pm\sqrt{296^2-4*12*1225}}{2*12} =\frac{296\pm\sqrt{87616-58800}}{24}= \frac{296\pm\sqrt{28816}}{24}\\\\x=\frac{296\pm169.75}{24}= 12.333\pm7.073\\\\\\x_1=12.333+7.073=19.406\\\\x_2=12.333-7.073=5.26$

The first solution is physically impossible, as the side that is cut would be bigger than 25.

So the real solution is for x=5.26 in.

Then, the dimensions of the box are:

$A=49-2x=49-2*5.26=49-10.52=38.48\\\\B=25-2x=25-10.52=14.48$

8 0

3 years ago

Solve this system of equations. Write the answer as an ordered pair.

baherus [9]

-2x + 6y = 6

6y - 6 = 2x

6(y-1) = 2x

(1/2) * 6(y-1) = 2x * (1/2)

x = 3(y-1)

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If, x = 3(y-1),

-7 * 3(y-1) + 8y = -5

-21 * (y-1) + 8y = -5

-21y + 21 + 8y = -5

21 + 5 = 21y - 8y

26 = 13y

y = 26/13

Therefore: y=2.

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If y=2,

x = 3(2-1) = 3

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Answers:

x=3 and y=2.

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3 years ago

What is 0.63 repeating as a fraction in simplest form

Sergeeva-Olga [200]

The simplest form is 63/100 <span />

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3 years ago

How many sides a pollygon have?

Marina86 [1]

Answer:

three or more

Step-by-step explanation: