what is 11 9/8 as a mixed number in the simplest form

The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

Equilateral triangle:

An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.

Given:

the perpendicular of the triangle = 5

Let the side of the equilateral triangle = a

Solution :

Now all the side of the triangle is is equal, so that a=x

The base of an equilateral triangle is divided into 2 equal parts,  due to the perpendicular.  

Now by Pythagoras equation :

[tex]p^{2} +b^{2} =h^{2}[/tex]

[tex]5^{2} +(\frac{x}{2} )^{2} =x^{2}[/tex]

[tex]25=x^{2} -\frac{x^{2} }{4}[/tex]

[tex]25 (4)=4x^{2} -x^{2} \\100=3x^{2}[/tex]

[tex]\frac{100}{3}=x^{2} \\\\\sqrt \frac{100}{3} } =x[/tex]

[tex]\frac{10}{\sqrt{3} } =x[/tex]

Simple radical form with rational denominator :

Radical form: An expression that uses a root, such as a square root, or cube root is known as a radical notation, Therefore, [tex]3^{\frac{3}{2} }[/tex] in radical form is = √27.

Convert [tex]\frac{10}{\sqrt{3} }[/tex] into radical form with rational denominator:

[tex]\frac{10}{\sqrt{3} } =\frac{10}{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\[/tex]

[tex]\frac{10\sqrt{3} }{3}[/tex]

The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

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Answer: 5 cm

Step-by-step explanation:

We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:

(3x + 2x) * 4 = 100

5x * 4 = 100

20x = 100 (divide by 20)

x = 5 (cm)

No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.

Here,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Because 4+8=12 and 1+8=9.

We have to find that Kareem is correct or not.

What is a ratio?

Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Now,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Calculate the ratio as;

12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3

So,

12 / 9 = 4 / 3

Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.

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Answer: 5.175

Step-by-step explanation: 18 - 9.7 - 3 1/8 = 5.175

Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= [tex]\frac{(\frac{2}{3} )}{8}[/tex]

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

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Answer:

SK: 32

Step-by-step explanation:

Subtract SY - KY to find SK

45 - 13 = 32

The total payment done by Mr. Jones every month as he pays $423.22 for car payment and $98.30 for car insurance every month is equal to $ 521.52.

As given,

Payment done for car every month = $423.22

Payment done for car insurance = $98.30

Total payment done by Mr. Jones every month = $ (423.22 + 98.30)

                                                                          = $521.52

Therefore, the total payment done by Mr. Jones every month as he pays $423.22 for car payments and $98.30 for car insurance every month is equal to $ 521.52.

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Answer:

−8x − 12y − 18q − 42p

Step-by-step explanation:

-4 x 3y = -12y and only number 2 is correct

The solution is Option B.

The value of the equation is A = -8x - 12y - 18q - 42p

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = -4 ( 2x + 3y ) - 6 ( 3q + 7p )

Now , on simplifying the equation , we get

A = -4 ( 2x ) - 4 ( 3y ) - 6 ( 3q ) - 6 ( 7p )

The  value of A = -8x - 12y - 18q - 42p

Therefore , the value of A is -8x - 12y - 18q - 42p

Hence , The value of the equation is A = -8x - 12y - 18q - 42p

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The value of k(10) is 6.

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Answer:

5x-16

Step-by-step explanation:

-(16 - 5x)

Use distributive property to open parenthesis.

-(16 - 5x)=

=(-1*16)+(-1*-5x)=

=(-16)+(5x)=

=5x-16

Finding x.

5x-16=0

5x=16

x=3.2

Hope this helps!

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Answer:

493%

Step-by-step explanation:

To convert a decimal to percentage, muiltiply the decimal by 100.

Answer:

[tex]{ \tt{ \angle4 + \angle3 = 180}} \\ { \boxed{ \tt{ \angle3 \equiv \angle7}}} \\ { \tt{\angle4 + 114 = 180}} \\ { \tt{\angle4 = 180 - 114}} \\ { \underline{ \tt{ \: \angle4 \: = 66 \: }}}[/tex]

Peaches, beans, spinach, and pistachios are dietary sources of iron. We get iodine via seaweed, shrimp, eggs, salt, and dairy products in our diet.

What do dietary trace elements do?

What are trace elements give two examples?

Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).

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Step-by-step explanation:

If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.

Answer:

2

Step-by-step explanation:

When Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

Milgram's experiment examined if authority affected submission. Stanley Milgram, a Yale University psychologist, carried out several obedience tests in the 1960s that produced some providing more opportunities.

Milgram discovered that more than 60% of the men in his sample of 20 to 50-year-olds who participated in his initial series of trials reached 450 volts.

As a result, when Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

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Answer:

Step-by-step explanation:

30 feet.

Answer:

2.1/5

3.7/5

4.7/20

Step-by-step explanation:

2.1/5

3.7/5

4.7/20

Greetings from Brasil...

A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators

B - fraction addition/subtraction with different denominators = we have to use LCM

2)

(10/15) - (7/15) - case A

(10 - 7)/15 = 3/15

3)

(8/10) + (3/5) - we can simplify the first fraction

(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5

4)

(3/4) - (2/5) - case B

LCM 4 and 5 = 20

(3/4) - (2/5) = 7/20

Answer:

1. -3x^2 +2x -5

a= -3 b= 2 c= -5

4. 2x^2 -2x -6

a= 2 ...

Step-by-step explanation:

Standard form: Ax^2 +bx +c

The equation is 547.75 = 4.25a + 144 so the tape diagram in option D is the correct answer.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

It has one or more variables and equal to symbol.

Example: 3x – 5 = 5

We have,

Time spent fixing the computer = 4.25 hours

Cost of parts = $144

Total cost = $547.75

Cost of labor per hour = a

Since the cost of labor per hour is 'a' cost of labor for 4.25 hours is:

= 4.25 x a

= 4.25a

We can write an equation as:

547.75 = 4.25a + 144

Thus the tape diagram in option D is the correct answer.

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There are 7 rabbits sold for $7 and 13 rabbits sold for $11.

Substitution method:

In the substitution method, we must substitute the value of one given variable in terms of the other given variable and find the solution.

Given,

A pet shop sold 20 rabbits for $192.

Some of the rabbits sold for $7 each and the rest for $11 each.

Here we need to find the number of rabbits sold in each case.

Let us consider x be the number of rabbits sold for $7 and y be the number of rabbits sold for $11.

We know that, the total number of rabbits sold = 20.

So, it can be written as,

=> x + y = 20

Here we have to rewritten this equation as,

=> x = 20 - y ----------------------(1)

We know that, total amount for sold rabbits = 192

So, it can be written as,

=> 7x + 11y = 192 -----------------------(2)

Apply the value of x to equation (2),

Then we get,

=> 7(20 - y) + 11y = 192

=> 140 - 7y + 11y = 192

=> 4y + 140 = 192

=> 4y = 192 - 140

=> 4y = 52

=> y = 52/4

=> y = 13.

Apply the value of y on the equation (1),

Then we get,

=> x = 20 - y

=> x = 20 - 13

=> x = 7

Therefore, there are 7 $7 rabbits and 13 $11 rabbits are sold.

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We're given:

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

[tex]3m+6[/tex]

Answer:

$1020.00

Step-by-step explanation:

15% means 15/100 divide by 100 and you get .15

.15 x 1200 gives us the rebate.  The rebate is 180.  We subtract that from 1200. 1200 -180 = 1020

Another way to think about this, is that we are taking 15% off we are leaving on 85%

.85 x 1200 = 1020

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where

a and b are the legs

and

c is the hypotenuse

.

the problem gives the "legs" because the LONGEST leg is always the hypotenuse.

a^2 + b^2 = c^2

1071^2 + 1840^2 = c^2

1147041 + 3385600 = c^2

4532641 = c^2

Answer:

24; 0

Step-by-step explanation:

Absolute value means number of the value away from zero, either positive or negative.  So the absolute value of -24 (for example) is 24 because it is 24 integers away from zero.

Answer:

x = 27

Step-by-step explanation:

You need to cube each side.

[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]

x = 27

Answer:

√18 is between 4.2 and 4.3

√52 is equivalent to 2√13

......

Answer:

1. x = 9

2. x = 4

3 x =

4. x = 10

5. x =

6. x = 11

7. x = -1

8.x =

9. x = -4

10. x =

11. x = 10

12.x = -10