11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.

Answer:

Step-by-step explanation:

[tex](\frac{5}{4} + (-\frac{1}{3})) \div (\frac{5}{4} - (-\frac{1}{3}))\\\\\frac{\frac{5}{4}+\left(-\frac{1}{3}\right)}{\frac{5}{4}-\left(-\frac{1}{3}\right)}\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=\frac{\frac{5}{4}-\frac{1}{3}}{\frac{5}{4}+\frac{1}{3}}\\\\\mathrm{Join}\:\frac{5}{4}+\frac{1}{3}:\quad \frac{19}{12}\\\mathrm{Join}\:\frac{5}{4}-\frac{1}{3}:\quad \frac{11}{12}\\\\=\frac{\frac{11}{12}}{\frac{19}{12}}\\\\=\frac{11\times\:12}{12\times \:19}[/tex]

= 11/19

Answer:

199/144

Step-by-step explanation:

(5/4-1/3)(5/4+1/3)

25/16-1/9

(135-16) /144

119/144

Answer:

Set; subset.

Step-by-step explanation:

A group of objects or numbers is called a set while a part of a set is called a subset. The objects or numbers that make up a set are generally referred to as elements or members and are written inside a pair of curly braces {}.

A set can be made up of elements such as numbers, alphabets, people, cars etc.

For instance, Set A = {2, 4, 6, 8, 10, 12} represents all the even number between 1 - 12.

On the other hand, a subset is a part of a larger set.

For instance, comedy movies, horror movies, romance movies, action movies are a subset of movies.

|6|  is equal to 6

|-6|  is equal to 6

-|6|  is NOT equal to 6

-|-6|  is NOT equal to 6

|0 - 6|  is equal to 6

|-2| · |3| is equal to 6

Hope this helps!  (❁´◡`❁)

Answer:  |6|, |-6|, |0-6|, |-2| x |3|

Step-by-step explanation:

if the negative sign is in front of the line instead on inside it makes the whole thing negative.  Anything inside the lines is automatically positive.

Answer:

Step-by-step explanation:

[tex]8-7x-6-8x=5\\\\\mathrm{Group\:like\:terms}\\-7x-8x+8-6=5\\\\\mathrm{Add\:similar\:elements:}\:-7x-8x=-15x\\-15x+8-6=5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\-15x+2=5\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\-15x+2-2=5-2\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

Let the amount of correct answer gotten be x and that of wrong answer be y. The sum of Jay score = 5x+ (-2)y [since(+5)marks are give for every correct answer and (-2)marks for every incorrect answer]

If Jay answered all questions and scored (-12)m, then 5x - 2y = -12

If Jay got four answers correctly, the number of correct answers x = 4

Substituting x = 4 into the equation 5x - 2y = -12 to get the value of y, we will have;

5(4) - 2y = -12

20 - 2y = -12

-2y = -12-20

-2y = -32

y = 16

This means that Jay attempted 16 incorrect answers.

[tex] \huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}[/tex]

Let,

Given,

That means,

⇛ Total mass of the coin = 230 mg

⇛ 115x = 230 mg

⇛ x = 230 mg/115

⇛ x = 2 mg

Then,

☁️ ANSWER - 14 mg (Mass of copper)

━━━━━━━━━━━━━━━━━━━━

Answer:

6

Step-by-step explanation:

(2)/((6)√(8))*√(2)-((18)/√81))-2)

(6)sqrt√8 = 6sqrt √2³= 2^3/6=2^1/2= √2

(2√2)/√2 -(-18/√9²)-2)

2-(-18/9 -2)

2-(-2-2)=2+4=6

Answer:

x = -7

Step-by-step explanation:

f(x) = -3x + 2

= -3(3) + 2

= -9 + 2

= -7

Answer:

37 ounces

Step-by-step explanation:

1 pound =16 ounces

2 pounds =16*2=32 ounces

16+3=19 ounces

weight of the kitten 1 month later=56 ounces

56-19=37

Each color occupies 1/6 of the school wall

The fraction of each color that occupies the wall will be 1/6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A school painted 1/2 of a school wall has its exercise center with 3 tones each variety takes a similar measure of room on the wall.

The fraction of the color that occupies the wall will be given as,

⇒ (1/2) x (1/3)

⇒ 1/6

The small part of each variety that possesses the wall will be 1/6.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

n³ - 7

Step-by-step explanation:

number = n

because 7 is less then the number cubed it's being subtracted by n³

First, find the cost of how much fence Mary needs per side.

10 * 5 = 50

10 * 5 = 50

6 * 5 = 30

6 * 5 = 30

Second, add all together.

50 + 50 + 30 + 30 = 160

Therefore, the total cost of the fence will be $160.

Best of Luck!

Answer:

 P(x) = 3x - 150  

Answer:

2nd option is true

Step-by-step explanation:

Answer:

New dimension: 16.8 feet by 19.6 feet.

Step-by-step explanation:

Given that,

The original dimensions of the room were 144 inches by 168 inches. Rick renovated his home. He made his bedroom 40% larger than its original size.

40% of 144 = 57.6

New length is 144 + 57.6 = 201.6 inches

40 % of 168 = 67.2

New breadth is 168 + 67.2 = 235.2 inches

Since, 1 foot = 12 inch

201.6 inches = 16.8 feet

235.2 inches = 19.6 feet

The new dimension of the room is 16.8 feet by 19.6 feet.

Answer:

x > 0 and y > 0

Step-by-step explanation:

If the point (x,y) is in Quadrant I, then that means both x and y must be positive.  For this to be true, x must be greater than 0 and y must be greater than 0.

Cheers.

Answer:

[tex]\Large \boxed{\mathrm{E}}[/tex]

Step-by-step explanation:

The x-intercept is when y = 0.

[tex]y = 3x + 1[/tex]

Let y = 0.

[tex]0=3x+1[/tex]

Subtracting 1 from both sides.

[tex]-1=3x[/tex]

Dividing both sides by 3.

[tex]\frac{-1}{3} =x[/tex]

The x-intercept is negative.

Answer:

[tex]y = \frac{1}{5}x[/tex]

Step-by-step explanation:

Given

Yearly Cost for members; [tex]y = \frac{1}{10}x + 6[/tex]

Required

Determine the yearly cost for non members

From the question, we understand that:

A non member pays $0.20 for each game;

Yearly cost is then calculated as thus;

y = Amount * Number of Games

Where:

Amount = $0.2 and Number of Games = x

[tex]y = 0.20 * x[/tex]

Convert 0.2 to fraction

[tex]y = \frac{2}{10} * x[/tex]

Divide the numerator and the denominator by 2

[tex]y = \frac{1}{5} * x[/tex]

[tex]y = \frac{1}{5}x[/tex]

Hence, the yearly cost for non members is

[tex]y = \frac{1}{5}x[/tex]

Answer:

y = y equals 1 Over 5 x. x

Step-by-step explanation:

So c

please rate me brainliest i need 5!!!!!!

Answer:

₹1, 00,000

Step-by-step explanation:

Amount of commission

[tex] = 5 \% \: of \: 20, 00, 000 \\ \\ = \frac{5}{100} \times 20, 00, 000 \\ = 5 \times 20000 \\ = Rs. \: 1, 00, 000[/tex]

Answer:

2x + y > 4

(1,3) → 2(1) + 3 = 5 > 4 -- solution

(2, 0) → 2(2) + 0 = 4 = 4 -- not a solution

(4, -5) → 2(4) - 5 = 3 < 4 -- not a solution

(-1, 8) → 2(-1) - 8 = -10 < 4 -- not a solution

Answer:

Step-by-step explanation:

7x - 11 = 5x + 3

2x - 11 = 3

2x = 14

x = 7

Answer: The choice with the two equivalent expressions is B.

Step-by-step explanation:

Here's how I got my answer:

Do each equation carefully and be sure to pay attention to the order of the multiplication, subtraction, addition, parentheses and division signs. Since B. is just the Associative Property (it means that it has been grouped in a different way) then it is the same as the first equation.

Answer:

Step-by-step explanation:

Rationalize the denominator, to do that multiply denominator and numerator by √2

[tex]\frac{1+\sqrt{2}}{\sqrt{2}}=\frac{(1+\sqrt{2})*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\ =\frac{1*\sqrt{2}+\sqrt{2}*\sqrt{2}}{\sqrt{2*2}}\\\\\\=\frac{\sqrt{2}+2}{2}\\\\\\[/tex]

Answer:

The circled in in the image.

Step-by-step explanation:

The input and outputs matched the ones that were asked for.

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{2.58}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \frac{7}{12} }[/tex]

Convert the mixed fraction into improper fraction

⇒[tex] \sf{ \frac{2 \times 12 + 7}{12} }[/tex]

⇒[tex] \sf{ \frac{24 + 7}{12} }[/tex]

⇒[tex] \sf{ \frac{31}{12} }[/tex]

Calculate

⇒[tex] \sf{ 2.58}[/tex]

Hope I helped !

Best regards!

The mixed number  [tex]2\frac{7}{12}[/tex]  as a decimal is approximately 2.58333 as per th rule of simplification.

To simplify [tex]2\frac{7}{12}[/tex] as a decimal form, we need to convert the mixed number to an improper fraction and then perform the division.

First, multiply the whole number (2) by the denominator of the fraction (12), and add the numerator (7). This gives us 2 x 12 + 7 = 24 + 7 = 31.

Now, the numerator of the improper fraction is 31, and the denominator remains the same (12). Therefore, the improper fraction is 31/12.

To convert this improper fraction to decimal form, divide the numerator (31) by the denominator (12):

31 ÷ 12 = 2.58333 (rounded to five decimal places)

Hence,  [tex]2\frac{7}{12}[/tex]  as a decimal is approximately 2.58333.

It's important to note that the decimal form is an approximation because fractions can have repeating decimal representations. In this case,  [tex]2\frac{7}{12}[/tex]  can be expressed exactly as a fraction but has a repeating decimal approximation when converted to decimal form.

To learn more about the decimal;

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The complete question:

Simplify 2 7/12 as a decimal form.

Answer:29

Step-by-step explanation:I think he had 29 hats on Monday because if he had 17 left because half were destroyed then that means he had 34 after he bought the hats on tuesday. So 34-5=29. Im not sure but here.

Answer:

(u + 1)(u - 1)(u² + 8)

Step-by-step explanation:

Here is the steps:

Answer:

[tex] (u - 1)(u + 1)( {u}^{2} + 8)[/tex]

Step-by-step explanation:

[tex] {u}^{4} + 7 {u}^{2} - 8 \\ = {u}^{4} + 8 {u}^{2} - {u}^{2} - 8 \\ = {u}^{2} ( {u}^{2} + 8) - 1( {u}^{2} + 8) \\ = ( {u}^{2} - 1)( {u}^{2} + 8) \\ = (u - 1)(u + 1)( {u}^{2} + 8) \\ [/tex]