What is the difference of 7 1/6−3 5/8? fractions. with common denominators

Answers

Answer 1

Answer: 3 13/24

Step-by-step explanation:

Turn 7 1/6 into an Improper Fraction:

43/6 - 3 5/8

Turn 3 5/8 into an Improper Fraction:

43/6 - 29/8

Subtract:

43/6 - 29/8= 85/24

Turn 85/24 into a Mixed Number (Final Step):

85/24 = 3 13/24

Answer:

3 13/24

Hope this Helps!

Answer 2
Final answer:

To find the difference between 7 1/6 and 3 5/8, convert each mixed number to an improper fraction with a common denominator of 24, subtract the numerators to find 85/24, which simplified to a mixed number results in 3 13/24.

Explanation:

The difference between 7 1/6 and 3 5/8 can be found by converting each mixed number to an improper fraction with a common denominator and then subtracting the two. First, convert the mixed numbers to improper fractions. So, we have 7 1/6 as 43/6 and 3 5/8 as 29/8. To find a common denominator, we can use the least common multiple (LCM) of 6 and 8, which is 24. Then we convert the fractions as follows:

43/6 becomes 172/2429/8 becomes 87/24

Now we can subtract the numerators and keep the common denominator:

172/24 - 87/24 = 85/24

To present the answer as a mixed number, we divide 85 by 24, which gives us:

3 13/24

Therefore, the difference between 7 1/6 and 3 5/8 is 3 13/24.


Related Questions

A number cube has sides labeled 1 to 6. Connie rolls the number cube 12 times She rolls a 5
three times. What is the experimental probability that her next roll will be a 5?

Answers

¹/24

Step-by-step explanation:

The number of favorable outcomes (rolling a 5) is 3

The total number of possible outcomes is 12 * 6 = 72

Therefore;

P(5) = 3/72

= 1/24

What is the missing side length in the triangle below?

Answers

Answer:

72

Step-by-step explanation:

180-78-30=72

the answer is 72 i hope this helps you

which pair of expressions below are equivalent?
A 7(2x)and 9x
B 3x + 5x and 15x
C 4(2x - 6)and 8x -24
D x + x + x +x and x^{4}

Answers

Answer:

C

Step-by-step explanation:

4 times 2x is 8x and 4 times -6 is -24 and this put together would equal 8x - 24. So, it is B

Answer:

its c!

Step-by-step explanation:

4 (2x-6) and 8x-24 are equivalent i could elaborate a little more

In any given year, a factory has a 20% probability of having an accident. About every how many years might the factory expect to have an accident?


Every 1 year


Every 2 years


Every 5 years


Every 20 years

Answers

Answer:

Probability of having an accident = 20% o 0.2

Thus,

Expected number of years = 1/probability of accident = 1/0.2 = 5

Hence,

3.    Every 5 years  is the correct option.

Step-by-step explanation:

The factory will expect to have an accident every 5 years.

The probability of having an accident in the factory = 20% = 20/100 = 0.2

It should be noted that the highest likelihood for an event happening is 100% which is represented by 1.

Therefore, the number of years that the factory expect to have an accident will be:

= 1 / probability of having an accident

= 1/0.2

= 5 years

In conclusion, the factory will expect an accident every 5th year.

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What is the equation of a circle with a center of (-2, -1) and radius of √2?

Answers

Answer:

(x + 2)² + (y + 1)² = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Here (h, k) = (- 2, - 1) and r = [tex]\sqrt{2}[/tex], thus

(x - (- 2))² + (y - (- 1))² = ([tex]\sqrt{2}[/tex] )², that is

(x + 2)² + (y + 1)² = 2 ← equation of circle

Answer: Answer is 2 can I get brainliest pls

Step-by-step explanation: Have a good one

What the geometric mean between 12 and 18

Answers

Answer: 14.7

Step-by-step explanation:

Data : 12,18    

Total Number of Values, N = 2

Step 1 : Find 1 / N

1 / N = 1 / 2 = 0.5

Step 2 : Find mean

GM = ( 12 * 18 )^ 0.5

       = 14.7

Step-by-step explanation:

The geometric mean between 12 and 18 =

[tex] \sqrt{12 \times 18} [/tex]

[tex]6 \sqrt{6} [/tex]

[tex]14.69[/tex]

14.7

Explain why receiving a 15% discount is the same as finding 85% percent of the original cost of an item. Then, explain how the mathematical properties and equivalent expressions helped them understand and solve the problem. Please answer!!

Answers

Answer:

15% discount means you're paying 85% of the marked price because total is 100% and 100-15 = 85%

Let X be the naked price

Paid = marked price - discount

Paid = X - (15/100 × X)

Using distribution property,

Paid = X(1 - 15/100)

Paid = X[(100-15)/100]

Paid = X(85/100)

Which is 85/100 × X

Hence 85% of X

Answer: 85% = 0.85

While 15% = 0.15

Step-by-step explanation:

Percentage is a fraction whose denominator is 100. So if we say 15%, we mean 15/100 = 0.15.

If want to find 15% of a 100, it means 15% of 100 = 15/100 × 100 = 15.

To find 85 % of 100 means 85/100 × 100= 85

hence subtraction of 15% from 100% is 85%

Therefore 15% = 15/100 = 0.15

While 85% is 85/100 = 0.85

Decide if each sample is random. Explain why or why not.
a. Asking every 15th person on the school roster if they buy lunch in the cafeteria or bring lunch from
home.
b. Measuring the height of all the sunflowers to find the mean height of all the flowers in a garden.​

Answers

Answer:

a- no they are polling

b-yes there is no point

Step-by-step explanation:

enter the ratio on its simplest form 9/12

Answers

the answer is 1/2 in it’s simplest form

Answer: 3/4

Step-by-step explanation:

To take this ratio to its simplest form, we have to divide by a value divisible by the numerator and denominator.

3 is a divisible value, therefore,

9/12 = 9 ÷ 3 = 3

12 ÷ 3 = 4

Thus, 9/12 = 3/4

I hope this helps.

list all natural numbers less than 200 that are divisible by 3, 4, and 5.​

Answers

Answer: the answer Are 60,120,180

Step-by-step explanation:

Answer:

60,120,180

Step-by-step explanation:

15 is 0.2% of what number? Please answer!

Answers

Answer:

7500

Step-by-step explanation:

0.2 x 7500  divided by 100 =15

Which is less 2.5 or -2.5? Answer asap pls!

Answers

Answer:

-2.5

Step-by-step explanation:

-2.5 is under 0 and 2.5 is positive so -2.5 is less

Hope this helps!

Question 1
Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).
Question 2

Answers

Answer:

(-1, -2.5)

Step-by-step explanation:

the midpoint of a segment is [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex][tex])[/tex], given points (x1, y1) and (x2, y2)

[tex]midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} )[/tex] [tex]= (\frac{-2}{2}, \frac{-5}{2} ) = (-1, -2.5)[/tex]

Answer:

m (-1, -2.5)

Step-by-step explanation:

x1=-9             x2=7             y1= 3            y2=-8

        -9+ 7        3+ -8

m= ------------ , -----------

            2             2

m= -2/2, -5/2

m (-1, -2.5)

what is the solution of n2 - 49 = 0

Answers

Answer:

n = 7 , n = -7

Step-by-step explanation:

n^2 - 49 = 0 (Given)

n^2 = 49 (Add 49 on both sides)

n = plus or minus 7 (Square root on both sides)

Answer:  n  =  ± 7  ” .

_________________________________

       →  that is;   “ n = 7 ” ; or:  “ n = -7 ” .

_________________________________

Step-by-step explanation:

_________________________________

Given:

   n²  − 49 = 0 ;  Solve for "n" .

_________________________________

Add "49" to each side of the equation:

   →  n² − 49 + 49 = 0 + 49 ;

to get:

  →   n²   =  49 .

_________________________________

Now, take the "square root" of each side of the equation;

  to isolate "n" on one side of the equation;

   & to solve for "n" ;

_________________________________

  →  | √(n²) | = |√49|  ;

to get:

 →  n = ±  49 .

_________________________________

Hope this helps!

 Best wishes in your academic endeavors

          — and within the “Brainly” community!

_________________________________

Find the zeros of the function.
Write the smaller solution first, and the larger solution second.
g(x)=(-5x– 1)(2x + 8)
smaller x=
larger x =

Answers

Answer:

x = - 4, x = - [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

To find the zeros let g(x) = 0, that is

(- 5x - 1)(2x + 8) = 0 ← in standard form

Equate each factor to zero and solve for x

- 5x - 1 = 0 ( add 1 to both sides )

- 5x = 1 ( divide both sides by - 5 )

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

2x + 8 = 0 ( subtract 8 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4

Thus

smaller x = - 4

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

What is 2 times the difference of 73 and twice the sum of 9 and 4?

Answers

This results in a final answer of 94.

The question asks for the calculation of 2 times the difference of 73 and twice the sum of 9 and 4. Let's break it down step by step:

First, calculate the sum of 9 and 4, which is 9 + 4 = 13.Next, multiply this sum by 2 to get twice the sum, which results in 13  imes 2 = 26.The difference between 73 and the result from step 2 is 73 - 26 = 47.Finally, multiply that difference by 2 as per the question, giving us 47  imes 2 = 94.

Therefore, 2 times the difference of 73 and twice the sum of 9 and 4 equals 94.

Just I need is solve for x.

Answers

Answer:

x=6

Step-by-step explanation:

Since the figure has 4 sides, the total of all of the angles add to 360 as:

180(n-2)=T

180(4-2)=T

180(2)=T

360=T

Now we can set up an equation and solve for x:

17x+8+74+110+66=360

17x+258=360

17x=102

x=6

So x=6

X = 6. Since all inside angles of a polynomial add up to be 360 degrees, you can add the three given angles and solve for x. Add the given angles, 74+66+110 = 250. Subtract from 360 to find the fourth angle. 360-250=110. This means 17x+8 = 110. Solve for x by subtracting 8 from both sides, then dividing 17 on both sides to get x = 6.

Make x the subject of h=4(x+3y)+2

Answers

Answer:

[tex]\displaystyle x = \frac{h - 2}{4} - 3y[/tex]

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

[tex]\displaystyle h = 4(x + 3y) + 2[/tex]

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 2 on both sides:                        [tex]\displaystyle h - 2 = 4(x + 3y)[/tex][Division Property of Equality] Divide 4 on both sides:                                  [tex]\displaystyle \frac{h - 2}{4} = x + 3y[/tex][Subtraction Property of Equality] Subtract 3y on both sides:                      [tex]\displaystyle \frac{h - 2}{4} - 3y = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = \frac{h - 2}{4} - 3y[/tex]

Write a situation that could be represented by the algebraic expression 3s + 2.15.​

Answers

Sally charges $3 an hour plus a starting fee of 2.15.
Final answer:

The algebraic expression '3s + 2.15' can represent a real-life situation where you're shopping for food. If sandwiches cost $3 each and a soda costs $2.15, the total you'd spend on 's' sandwiches and one soda is 3s + 2.15 dollars.

Explanation:

Here is a scenario that could represent the expression 3s + 2.15: Imagine you're in a store and each sandwich costs $3.00. You're planning to buy 's' number of sandwiches. Now, let's say you also want to buy a soda which costs $2.15. The total cost you will spend in the store would be the cost of the 's' sandwiches plus the cost of the soda, which can be represented by the expression 3s + 2.15. So if you bought 2 sandwiches, the total cost would be 3*2 (for the sandwiches) + 2.15 (for the soda) = $8.15.

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x^3 - (3 + x)^2x x=4

Answers

Answer: IM NOT GOING TO ANSWER YOUR QUESTION DUDE LEARN FROM YOUR TEACHER  STOP CHEATING CLEARLY YOUR NOT SMART AND YOUR GOING TO FAIL YOU MATH CLASS AND EVERY OTHER SUBJECT HAHAHAHAHAHAHAHAHHAHAHAHHAHAHAHAH

What is the product of 4 and the sum of 3 and 7

Answers

Answer:

40

Step-by-step explanation:

4(3+7)

4(10)

40

the product of 2x -3 and x+4 can be expressed as

Answers

Answer:

2x^2 + 5x - 12

Step-by-step explanation:

(2x - 3) (x + 4)

= 2x^2 + 8x - 3x -12

= 2x^2 + 5x - 12

Quadrilateral ABCD is inscribed in this
circle.
What is the measure of angle A?
Enter your answer in the box.

Answers

The measure of angle A is 88°.

Solution:

Given data:

∠A = (2x – 40)°, m∠B = 116° and ∠D = x°

A quadrilateral inscribed in a circle is called cyclic quadrilateral.  

∠B and ∠D are opposite angles in a cyclic quadrilateral.  

In cyclic quadrilateral, opposite angles are supplementary.  

⇒ m∠B+ m∠D = 180°

⇒ 116° + x = 180 °

Subtract 116° from both sides of the equation, we get  

x = 64 °

To find the measure of angle A:

m∠A = (2x – 40)°

        = 2(64°) – 40°

m∠A = 88°

Hence the measure of angle A is 88°.

6/8 bigger or less than 1/2

Answers

Answer:

6/8 is greater than 1/2

Step-by-step explanation:

6 is over half of 8, its 3/4 of 8

Answer:

Bigger

Step-by-step explanation:

It is bigger. 1/2 equals 4/8, and 6/8 is greater than 4/8.

Charlie can make 440 pizzas in 8 hours. How many pizzas can he make in 2p
one hour? ​

Answers

Answer:110 in 2 hours

Step-by-step explanation:

440/80 = 55/1 (55/1x2)

Answer:

I am confused with the question

Step-by-step explanation:

can you correct your spelling

Solve 4^x + 3 = 9 for x using the change of base formula log base b of y equals log y over log b. A)4.585 B)3.578 C)−1.415 D)−2.422

Answers

Answer:

the answer is C) -1.415

Step-by-step explanation:

Just did the test and plugged it into desmos this is the closest answer

Answer:

the answer is -1.415

Step-by-step explanation:

Just finished the test and the correct answer is -1.415

the difference between a number and 8 is more than 4

Answers

Answer:

x= 13, 14, 15

Step-by-step explanation:

x-8 > 4

+8 +8

x > 12

13

14

15

I believe it is x - 8 > 4, to solve it, you just add 8 to both sides to isolate the x,
x - 8 > 4
+8 +8

Which would be x > 12. I hope this helps:)

What is the slope indicated
in the table below
X 0 1 2 3
Y 0 5 10 15

Answers

Answer:

5

Step-by-step explanation:

1. Identify the changes (Δ) in each consecutive pair of x-values and y-values

The changes in x (Δx) are 1, 1, and 1. The changes in y (Δy) are 5, 5, and 5.

2. Calculate the corresponding values of Δy/Δx

In each case, Δy/Δx = 5.

The slope is 5.

I have organized the calculations in the table below.

[tex]\begin{array}{cc|cc|c}\mathbf{x} & \mathbf{\Delta x} & \mathbf{y} & \mathbf{\Delta y} & \mathbf{\Delta y/ \Delta x} \\0 & & 0 & & \\ & 1 & & 5 & \mathbf{5} \\1 & & 5 & & \\ & 1 & & 5 & \mathbf{5} \\2 & & 10 & & \\ & 1 & & 5 & \mathbf{5} \\3 & & 15 & & \\\end{array}[/tex]

Regina is tying a bow around a soccer ball to give to her sister. The ball has a radius of 4.5 inches. If the ribbon needs to be 10 inches longer than the circumference of the ball so she has enough room to tie a bow , how many inches of ribbon will she need?

Answers

Final answer:

The circumference of the soccer ball can be found using the formula for the circumference of a circle, to which 10 inches is then added to find the total length of the ribbon Regina needs.

Explanation:

The problem involves understanding the mathematical concept of circumference. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the soccer ball has a radius of 4.5 inches. Therefore, the circumference of the soccer ball would be C = 2π(4.5) inches.

Then, the problem states that the ribbon needs to be 10 inches longer than the circumference of the ball. So the total length of the ribbon that Regina needs is C + 10 inches. By substituting the values, we get the length of the ribbon needed.

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What’s A cylinder with a radius of 8yd and a 12 height of yd

Answers

Answer:

192π yd²

Step-by-step explanation:

Surface area of a cylinder = 2πrh

Given,  r = 8yd , h = 12yd

S. A = 2 × π × 8 × 12

S. A = 192π yd²

I hope this was helpful, please mark as brainliest

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