show that 2 1/4 - 6/7 = 11/28

blehh

Answers

Answer 1

Hence the required expression is Proved.

Given the expression is 2 1/4 ₋ 6/7 = 39/28

Consider L.H.S 2 1/4 ₋ 6/7

Convert improper fraction to proper fraction.

2 1/4 = 9/4

take LCM of the denominators.

The LCM is 28.

9×7/28 ₋ 6×4/28

63/28 ₋ 24/28

Now subtract.

63 ₋ 24/28

39/28

Hence proved.

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Show that 2 1/4 ₋ 6/7 = 39/28


Related Questions

HELP ME DO THESE PROBLEMS PLS THANK YOU

Answers

Answer:

6. 7

7. 32

8. -17

9. -24

10. 6 ft

Step-by-step explanation:

6: 2(3) +1

    6+1=7

7: 16-4(-4)

   16+16=32

8: 12(-2)+7

   -24+7=-17

9: -9-3(5)

   -9-15=-24

10: 24-3(6)

     24-18=6

Which is an equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity?

really need help pleeease

Answers

An equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power is 2d⁻³/11d⁻⁹

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

What is an exponent?

An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.

Translating the word problem into an algebraic expression, we have;

4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³

22 times d raised to the ninth power = (22 × d)⁻⁹ = 22d⁻⁹

Next, we would write the equation as a quotient:

Expression = 4d⁻³/22d⁻⁹

Expression = 2d⁻³/11d⁻⁹

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[tex]\frac{8(29-7*4)}{4+7-8+1}-3(2)/6[/tex]

Answers

The solution for the expression {8 ( 29 - 7 * 4 ) / ( 7 + 4 - 8 + 1 } - 3 ( 2 ) / 6 will be 1.

We are given the expression:

{8 ( 29 - 7 * 4 ) / ( 7 + 4 - 8 + 1 } - 3 ( 2 ) / 6

We will solve this expression by using the property of PEMDAS:

Solving the expression , we get

{8 (29 - 28) / 11 - 8 + 1} - 3 (2) / 6

= (8 × 1) / 4  -( 6 / 6)

= 2 - 1

= 1

Therefore, the solution for the expression {8 ( 29 - 7 * 4 ) / ( 7 + 4 - 8 + 1 } - 3 ( 2 ) / 6 will be 1.

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What is the equation of the line that is perpendicular to the line y =1/2x+5 and passes through the point (-2, 3)?

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{ m}{\downarrow }}{\cfrac{1}{2}}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]

so, we're really looking for the equation of a line with a slope of -2 and that passes through (-2 , 3)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-2)})\implies y-3=-2(x+2) \\\\\\ y-3=-2x-4\implies y=-2x-1[/tex]

There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange. half of the guests will go in costumes that are neither black nor orange. how many children will wear both orange and black

Answers

The number of children who wore both orange and black will be 8.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.

Then the number of children who wear costumes and black & orange. Then we have

⇒ 46 - 18 - 12

⇒ 46 - 30

⇒ 16

Half of the guests will go in costumes that are neither black nor orange. Then we have

⇒ 16 / 2

⇒ 8

Then the number of the children who orange and black will be  

⇒ 16 - 8

⇒ 8

The number of children who wore both orange and black will be 8.

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The perimeter of the quadrilateral below is 119 units. Find the length of side AB.

Answers

Answer:

Step-by-step explanation:

The 10th term of arithmetic sequence is three and common difference is three find the third term

Answers

Answer:

-18

Step-by-step explanation:

From 3 to 10th term is 7 d's       ( d = common difference)

3 - 7d = third term

3 - 7(3)  =  -18

Check out the attached photo

Pls help me w thissssss

Answers

22

In this problem, we need to use multiplication and subtraction method to solve it.

_________________________________

x(y) means to multiply x with y

_________________________________

Note that {a = 7} and {b = 6}

First, we need to multiply 4 with {a = 7}, we get:

4(7) = 28

Then, we need to subtract {b = 6} from 28, we get:

286 = 22

Finally, this simplifies as:

4(7) – 6 = 22

Hope this helps :)

PLEASE SOLVE ITS FOR A TEST

Answers

Answer:

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

Step-by-step explanation:

You have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint. How many containers will you need?

Answers

When you have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint, the number of containers will be 5.

How to compute the value?

Note that the conversion ounce to pint is to divide the value by 16.

Therefore, 80 fluid ounces to pint will be:

= 80/16

= 5

Therefore, the value is 5 pints.

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Convert 7.6miles to kilometers with solutions​

Answers

Answer:

12.2 km

Step-by-step explanation:

Here is ONE way :

7.6 mi * 5280 ft/mi * 12 in / ft   /   (39.37 in / m * 1000 m / km)  = 12.2 km  

Given the functions f and g, EXPLAIN why you canNOT find f * g.
f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}
g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}

Answers

You cannot find f * g because the functions have different domains

How to explain why you cannot find f * g?

The functions are given as:

f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}

g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}

In the above function definitions. we have

Domain of f(x): -1, 1, 3, 6, 7

Domain of g(x): 0, 2, 4, 8

See that both functions have different domains

This means that you cannot find f * g because the functions have different domains

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Antwan determines the distance between the points –7 and 2 on a number line. Maggie determines the difference between the numbers –7 and 2. How are Antwan’s and Maggie’s solutions related?

Maggie’s solution is the absolute value of Antwan’s solution.

Antwan’s solution is the absolute value of Maggie’s solution.

Both solutions are greater than either of the two numbers in the problem.

Both solutions are less than either of the two numbers in the problem.

Answers

Antawan's solution is the absolute value of Maggie's solution is the solution related to Antawan's and Maggie's solution.

Given

Antawan determines the distance between two points as 9.

Maggie finds the difference between two numbers ₋ 7 ₋ 2 = ₋9

Hence we notice that Antawan's solution is the absolute value to the Maggie's solution.

The non-negative value of x, regardless of its sign, is the absolute value (or modulus) | x | of a real number x. For instance, 5 has an absolute value of 5 and so does 5, which likewise has an absolute value of 5. One way to conceptualize a number's absolute value is as its separation from zero on the real number line.

hence option 2 is right.

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The difference between two positive numbers is 2 and the difference between their squares is 40. Work out the two numbers.

Answers

a = 11
b = 9
i think that’s the answer

Melissa buys 2 1/2 pounds of salmon an 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish

Answers

Answer:

$16.60

Step-by-step explanation:

Setup the formula to calculate the cost of each pound of salmon and swordfish for the 2.5 pounds of salmon (x) and 1.25 pounds of swordfish (y) which is equal to $31.25

2.5x + 1.25y = 31.25

Setup a formula to figure out how much a single pound of swordfish (y) is. The problem states it cost $0.20 less than a pound of salmon (x).

y = x - .20

Plug the y = x - .20 into the first equation.

2.5x + 1.25(x - .20) = 31.25

Distribute the 1.25 by multiplying it with x and -.20

2.5x + 1.25x - .25 = 31.25

Combine like terms, x on the left side

3.75x - .25 = 31.25

Add .25 to both sides to get x on one side

3.75x = 31.50

Divide both sides by 3.75 to get x by itself

x = 8.4

So, each pound of salmon, x, cost $8.40 per pound

Use y = x - .20 and plug in x = 8.4 to figure out how much a pound of swordfish cost.

y = 8.4 - .20

So, a pound of swordfish cost $8.20 per pound

The question wants to know the combined cost, z, of 1 pound of salmon, x, and 1 pound of swordfish, y.

x + y = z

8.4 + 8.2 = 16.6

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

b) Find the value of 2a2 + 5b2 when a = -6 and b = 2

Answers

Answer: -4 because 2(-6)2 = -24 and 5(2)2 = 20 so -24 + 20 is -4.

Answer:-4

Step-by-step explanation:

2(-6)2

2 x -6 x 2=-24

5 x 2 x 2=20

-24+20=-4

Dyani began solving the equation g = x-1/k for x by using the addition property of equality. explain dyani's error. then describe how to solve for x

Answers

Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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4x-10=-6x-2 the value of x

Answers

Answer:

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

Step-by-step explanation:

4x - 10 = - 6x - 2 ( add 6x to both sides )

10x - 10 = - 2 ( add 10 to both sides )

10x = 8 ( divide both sides by 10 )

x = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]

Under her cell phone plan, Nayeli pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Nayeli can use while staying within her budget.​

Answers

The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is  x < 1.7

How to write and solve an equation which can be used to determine the number of gigabytes?

The given parameters are

Flat cost = $41.50

Rate = $5 per gigabyte

Budget = Under $50

The equation is represented as:

Total cost = Flat cost + Rate * Number of gigabyte

So, we have

y = 41.5 + 5x

The budget is under 50

So, we have

41.5 + 5x < 50

Subtract 41.5 from both sides

5x < 8.5

Divide by 5

x < 1.7

Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is  x < 1.7

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Question 12
4
Which of the following numbers is irrational?
-9
5
7
√√5. √9
3

Answers

Answer: square root of 5 and square root of  9

Step-by-step explanation:

characteristics of a number may be positive negative or always zero​

Answers

Answer:

There is nothing positive or negative about zero. Zero is just zero. It is NEITHER positive NOR negative. To the right of zero on number line are positive numbers and on the left of zero, lie the negative numbers on the number line.

Answer:

Positive numbers are greater than 0 and located to the right of 0 on a number line. Negative numbers are less than 0 and located to the left of 0 on a number line. The number zero is neither positive nor negative.

Simplify (c4)−5

please please helpppp

Answers

Answer: Reformatting the input :

Changes made to your input should not affect the solution:

(1): "c5"   was replaced by   "c^5".  1 more similar replacement(s).

STEP

1

:

           c4

Simplify   ——

           c5

Dividing exponential expressions :

1.1    c4 divided by c5 = c(4 - 5) = c(-1) = 1/c1 = 1/c

Final result :

 1

 —

 c

Step-by-step explanation: hope this helps

Express 80 as the product of its prime factors.
Write the prime factors in ascending order.

Answers

Answer:

the answer of that is 16 x 5

Step-by-step explanation:

Write 863.141 in expanded form.

Answers

(8 × 100)+(6 × 10)+(3 x 1)+(1/10)+(4/100)+(1/1000).

If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5, how many divisions are possible?

Answers

The final answer is 24,024

In the given statement is :

If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5

To find the how many divisions are possible

Let us understand the:

What do you mean by Permutation?

A Permutation is an act of arranging the objects or number in order.

Formula of Permutation :

The formula for Permutations is : n P r = n! / (n - r)!

n p r = n! /(n-r)!

14 P 4 = 14 ! / (14-4)!

= 14 × 13 × 12 × 11 x 10! / 10!

= 14 × 13 × 12 × 11

= 24,024
Hence, The answer is 254,024

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NEED HELP 25 POINTS COME NOW

Answers

Check out the attached photo

3(8-3)+2(4-1)
9(6-2)-11(5-2)

Answers

the solution for it ..

solving the bracket is important

How much of a(n) 70% orange juice drink must be mixed with 18 gallons of a 30% orange juice drink to obtain a mixture
that is 50% orange juice?

Answers

Answer:

18 gallons

Step-by-step explanation:

Start with x gallons of 70% juice and 18 gallons of 30% juice.

Result: x + 18 gallons of 50% juice

0.7x + 0.3 × 18 = (x + 18)(0.5)

0.7x + 5.4 = 0.5x + 9

0.2x = 3.6

x = 18

Answer: 18 gallons

Matt sliced a pizza into 8 equal parts and gave 4 slices to stuart. which are other ways that show the fraction of a pizza matt gave stuart? choose more than one answer:

Answers

The fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.

Given that, Matt sliced a pizza into 8 equal parts and gave 4 slices to Stuart.

We need to find the fraction of a pizza Matt gave Stuart.

What is the fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Now, the fraction=4/8

=2/4 =1/2

Therefore, the fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.

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Find EFgiven E(-7, -2) and F(11, 3)

Answers

According to the given statement;

EF=18.682.

What is Distance Formula?

The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.

Distance formula used to find the distance measure between two lines, the sum of the lengths of all the sides of a polygon, perimeter of polygons on a coordinate plane, the area of polygons and many more.

According to the given value;

(-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

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