MATHEMATICS HIGH SCHOOL

How do i convert 35/6 to a mixed number

Answers

Answer 1
Answer:

The mixed number for 35/6 is 5 5/6

What is a mixed number?

A mixed number is a number consisting of a whole number and a proper fraction.

Given that, what is 35/6 as a mixed number,

When we divide 35 by 6 we get 5 as remainder as 5 will be the quotient,

The mixed number has three parts : a whole number numerator and denominator,

Here, the quotient part is the whole number, the numerator is the remainder and the divisor is in denominator,

Therefore,

The mixed number = 5 5/6

Hence, the mixed number for 35/6 is 5 5/6

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Answer 2
Answer: 35/6

= how many times can (6) go into (35)?  5 TIMES.

Remainder (5) 

So as a mixed number would be 5 whole number, 5/6.

(5 5/6)

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One number is six times another number. Their difference is 35. What are the two numbers?
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The difference between two times a number and four is eight. Write the phrase as a algebraic equation

Answers

The algebraic equation will be written in this way 2x - 4 = 8.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the difference between two times a number and four is eight. The expression will be written as below:-

2x - 4 = 8.

2x  = 8 + 4

x = 12 / 2

x = 6

Therefore, the algebraic equation will be written in this way 2x - 4 = 8.

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Step-by-step explanation:

Let x represent the number.

Then 2x - 4 = 8.

WHAT IS X AND Y, PLEAE HELP URGENTLY

Answers

Answer:

hello it's really urgent the question is to find x and y and pls help me very urgent and pls give with full method or I can't understand pls ...

Sally works for Mailworks stuffing envelopes. She is paid $0.20 for each mailing she completes. How much does she earn for a week in which she stuffs 523 envelopes?

Answers

If you would like to know how much does Sally earn for a week in which she stuffs 523 envelopes, you can calculate this using the following steps:

$0.20 * 523 envelopes = 0.20 * 523 = $104.6

The correct result would be $104.6.

If cot(theta)= 4/3, find csc(theta) (Picture provided)

Answers

Answer:

D

Step-by-step explanation:

If \cot \theta=(4)/(3), then we can consider right triangle with adjacent leg 4 un. and opposite leg 3 un.. By the Pythagorean theorem,

\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\n \n\text{hypotenuse}^2=4^2+3^2,\n \n\text{hypotenuse}^2=16+9,\n \n\text{hypotenuse}^2=25,\n \n\text{hypotenuse}=5\ un.

So,

\csc \theta=\frac{\text{hypotenuse}}{\text{opposite leg}}=(5)/(3).

Answer:

The correct answer is option d

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ  = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

The correct answer is option d

Csc θ = 5/3

Simplify: a^2b^2c^2(2ab+3ac+2bc)

Answers

We can do this like so:

a^{ 2b^{ 2c^(2) } } = a^(8bc)

 a^(8bc) * 2ab = 2ba^(16bc)
a^(8bc) * 3ac =  2ca^(16bc)
a^(8bc) * 2bc =  2bca^(8bc)

Jake and his brother, Rob, built triangular kites for the Beach Cities Kite Festival and covered them with fabric. Jake's kite is 5.5 feet long and 6 feet tall. Rob's kite is 3.5 feet long and 4 feet tall. The fabric they used costs $2.50 per square foot.How much more money did Jake spend on fabric than Rob?

Answers

Answer:

$23.75

Step-by-step explanation:

Ok, first, To solve the problem, we need the amount of square feet of each kite.

To calculate area of triangles, you multiply base with height, then divide by two. (bh/2)

Jake's kite is 5.5 feet long, and 6 feet tall, so we plug this into the equation to get: (5.5 · 6)/2

we simplify to get 33/2 = 16.5 square feet.

Then to get the total cost, we multiply 16.5 with 2.50 to get $41.25, which is the cost of Jake's kite.

Now, we do the same with Rob's kite. (3.5*4)/2 = 14/2 = 7, then multiply by 2.5 to get 7 * 2.5 = $17.5, and that's the cost of Rob's kite.

To get the final answer, we subtract 41.25 to 17.5, which is $23.75
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