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2 years ago

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Please help and thank you

1 answer:

d1i1m1o1n [39]2 years ago

5 0

# ov wekz..... \_ >_○ _/

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Simplify 4(n+5) for me

Rom4ik [11]

If you would like to simplify 4 * (n + 5), you can do this using the following step:

4 * (n + 5) = 4 * n + 4 * 5 = 4 * n + 20

The correct result is 4 * n + 20.

6 0

2 years ago

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

2 years ago

Candy selling at six dollars per pound will be mixed with candy selling at nine dollars per pound how many pounds of more expens

podryga [215]

The 15 lbs at $7=$105

So multiple 5x9 as a test and check results. 105-45=60

Here you can see that 60 is a factor of 6 by 10 so you got lucky and got the answer of 10lbs at $6 & 5lbs at $9=15 lbs at $7 average

3 0

3 years ago

Find the missing side of the triangle

Ivanshal [37]

Answer:

25 in

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Identify</u>

Leg a = 24

Leg b = 7 in

Leg c = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
Evaluate exponents: 576 + 49 = x²
Add: 625 = x²
[Equality Property] Square root both sides: 25 = x
Rewrite/Rearrange: x = 25

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2 years ago

Select each perfect square

3241004551 [841]

Answer:

hi

Step-by-step explanation:

1 and 2 no are perfect square other r not

8 0

3 years ago

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