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3 years ago

What greatest three digit number whose hundreds is two less than its ones digit

Mathematics

1 answer:

kodGreya [7K]3 years ago

4 0

Answer:

799

Step-by-step explanation:

Let x = the hundreds digit

Let y = the ones digit

x = y-2

We want to maximize x and y. The both have to be single digit numbers

Rewriting this

x+2 =y

The largest x can be is 7 if y is a single digit

x is 7 and y is 9

We can pick the tens digit. Make it as big as possible to make out number as large as possible

799

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A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and

mojhsa [17]

Answer:

The size of the cardboard should be $26 in\ by\ 26in$

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

The volume of the box is $V = 2527 \ in ^3$

The length and the Width of the card is

L = W = Z

From the question we are told that 7 in squares were cut from each corner

So the length and the width of the box would be

L = W = (Z - 7)

And the height would be H = 7 in

Mathematically the volume of the box can be represented as

$V = Length\ of\ bx * Width\ of\ box * Height\ of\ box$

So the Volume would be

$V = (Z-7)(Z-7) * 7$

Substituting values

$(Z-7) ^2 = \frac{2527}{7}$

$(Z-7) ^2 = 361$

$(Z-7) ^2 = 19^2$

=> $Z - 7 = 19$

$Z = 19 + 7$

$Z =26 \ in$

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3 years ago

A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as

galina1969 [7]

Answer:

The volume of the cube is;

$8\dfrac{3}{4} \ cube \, units$

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

The side length of each cube, s = 1/2 unit

The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = $8\dfrac{3}{4} \ cube \, units$ = 8.75 cube unit

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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

Shiny roachnoises :P

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photoshop1234 [79]

The answer would
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Kruka [31]

Answer:

$\large\boxed{(f-g)(x)=-5x^2+2x+1}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1$

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3 years ago