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2 years ago

It is a number that names part of a whole or part of a group

1 answer:

4 0

A fraction is a number that names part of a whole or part of a group. It consists of a numerator (above the line), and denominator (below the line). Here is an example of a fraction:
1/2, 3/5, 9/4, etc.

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

The question is

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

2 years ago

If x = y, y = 2 then 3x =

kenny6666 [7]

Answer:

x=y

y=x

y=2

x=2

(3)(2)

3 times 2 is 6

Step-by-step explanation:

6 0

2 years ago

Which of the following is rewriting 272/3

Katen [24]

Answer:

how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage

Step-by-step explanation:

7 0

2 years ago

Solve and check the linear equation. 3(x-2) + 8 = 2(x + 5)

ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

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

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x - 2) + 8 = 2(x + 5)

Step 2: Solve for x

(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
Combine like terms: 3x + 2 = 2x + 10
{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
[Subtraction Property of Equality] Subtract 2 on both sides: x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)
(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
Multiply: 18 + 8 = 26
Add: 26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

3 0

2 years ago

POSSIBLE POINTS: 5

Bumek [7]

Answer:

176/231

Step-by-step explanation:

88 blue marbles, 55 green marbles, and 88 red marbles =231 marbles

P (blue or red marble) = number of red or blue/ total

= 88+88 / 231

=176/231

4 0

2 years ago