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4 years ago

Explain why you should record a 1 in the tens column when you regroup in an addition problem

Mathematics

2 answers:

Strike441 [17]4 years ago

6 0

Answer:

Explained below.

Step-by-step explanation:

Consider the addition below:

+ 29

Since the sum in the one's column is 18, a two-digit number, we separate the number as 1 ten and 8 ones.

We now, keep the unit digit 8 and carry over the 1 ten to the tenth column.

Hope this makes sense.

MatroZZZ [7]4 years ago

3 0

Because if u dont regroup u get a completely different answer
19
+19
--------
218

thats what u get if u dont regroup unlike when its done the right way

19
+19
-------
38

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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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3 years ago

What is the area, in square centimeters, of the shape below?

Karolina [17]

Answer:

21.46 cm squared

Step-by-step explanation:

3.8x5.8=21.46

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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docker41 [41]

Answer:

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Step-by-step explanation:

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