[(1 1/5−2/5)⋅(−3/4)3]÷(−9)

Answers

Answer 1

Given that:

[{1(1/5)−(2/5)⋅(−3/4)3}]÷(−9)

= [{(5+1)/5 - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3*3)/4}]÷(-9)

= [{(6/5) - (2/5) . (-9/4)}]÷(-9)

= [{(6/5) - (2/5) × (-9/4)}]÷(-9)

= [{{6/5) - {{2*(-9)}/{5*4}]}]÷(-9)

= [{(6/5) - {-9/(5*2)}}]÷(-9)

= [{(6/5) - (-9/10)}]÷(-9)

Take the LCM of 5 & 10 is 10.

= [{(6*2 + 9*1)/10}]÷(-9)

= [{(12+9)/10}]÷(-9)

= [{-(21/10)}]÷(-9)

= -(21/10) ÷ (-9)/1

= -(21/10) × (1/9)

= {(-21*1)/(10*9)]

= {-21/90)

= {(-21÷3)/(90÷3)}

= -9/30

= {(-9÷3)/(30÷3)}

= (-3/10) = -3/10 Ans.


Related Questions

A cylinder with a diameter of 10 inches and a height of 12 inches. Determine the area of the cross section formed by slicing the cylinder down the center and perpendicular to the bases.

Answers

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

What is a cylinder?

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

The diameter of the cylinder, d = 10 inches

The height of the cylinder, h = 12 inches

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.

So, the length of the rectangle, l = 12 inches.

The breadth of the rectangle, b = 10 inches

The formula for the area of the rectangle is A= l × b

⇒ [tex]A=12[/tex] × [tex]10[/tex]

⇒ [tex]A=120[/tex]

Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

Learn more about cylinders here

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Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?

Answers

Answer:

y = 75x + 650

So I think it's linear.

The sum of 139 and the product of a number raised to the third power and 17. In symbols, the phrase is written as.

Answers

Answer:

y = 139 + x³ + 17

Step-by-step explanation:

The word "sum" means the amount resulting from addition in an equation. This means that we are adding all of these numbers together.

The word "product" means the amount resulting from multiplication in an equation, this means we need to find the product of a number multiplied by itself three times. Since we don't know what number it is, we can use the variable 'x'.

So, you would be adding 139, the product of x³, and 17, which would be written as y = 139 + x³ + 17.

help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing

Answers

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

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

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

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Can some one help me solve this x+3/2+3x/7 = 7

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The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to make 32 photocopies?

Answers

Answer:

26.2

Step-by-step explanation:

Answer:

$3.16

Step-by-step explanation:

0.6+0.08n

Since n represents photocopies, then we replace n with 32.

0.6+0.08(32)

Now we multiply.

0.6+2.56

Finally, add.

0.6+2.56=3.16

So, Clayton will have to pay $3.16 to make 32 photocopies.

-hope it helps

pls help. I dont really understand these problems. fraction area and perimeter

Answers

Answer:

Perimeter: 14 9/10 cm

Area: 11 7/10 cm^2

Step-by-step explanation:

First, you must find the perimeter of the rectangle. The definition of perimeter in terms of mathematics are: the continuous line forming the boundary of a closed geometric figure. To find the perimeter of any shape, you must add up all the sides. Thus:

2 1/4 + 2 1/4 + 5 1/5 + 5 1/5 = ?

To put it simpler -

2(2 1/4 + 5 1/5) =

4 5/10 + 10 4/10 =

14 9/10 cm

Then, you must find the area of the rectangle. The definition of the area are: the extent or measurement of a surface or piece of land. In other words, the amount of space an object takes up. You must multiply the length and width of the rectangle to find the area.

Formula of area:

A = L x W

A = 2 1/4 x 5 1/5

A = 9/4 x 26/5

A = 234/20

A= 11 7/10 cm^2

To sum it up, the perimeter of the rectangle is 14 9/10 cm and the area 11 7/10 cm^2.


find the area enclosed by the figure

Answers

Answer:

2677 mi^2

Step-by-step explanation:

Think the shape as an complete rectangle :

The area of the rectangle is calcluated by multiplying height*width

(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:

12*29 = 348 mi^2 the area of the figure:

3025 - 348 = 2677 mi^2

Measurements should ALWAYS include units in conversion problems?



A. True



B. False

Answers

The answer would be

A. True

A student received scores of 85 and 78 on the first two exams. All exams have a maximum score of 100. What are the possible scores the student could receive on the third exam so that the average of the three exams is at least 80Write your answer in interval notation

Answers

Based on the information given, the student should score at least 77 in the last exam.

Since the student wants to get an average of at least 80. Therefore, the total scores should be:

= 80 × 3 = 240

The student received scores of 85 and 78 on the first two exams. The addition of this will be:

= 85 + 78 = 163

Therefore, his score in the last exam should be:

= 240 - 163

= 77

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A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?

Answers

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's do they have? ​

Answers

Answer:

192

Step-by-step explanation:

The 7 part of the ratio relates to Taylor's 84 CDs

Divide the amount by 7 to find the value of one part of the ratio.

84 ÷ 7 = 12 ← value of 1 part of the ratio, then

9 parts = 9 × 12 = 108 ← number of CDs Dave has

Total CDs = 84 + 108 = 192

PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft​

Answers

Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]

hi, have a good day!

Answers

Thank.........you......so.........much.....
lol hey thank for the pts

review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps

Answers

Answer:

1-3-4-2-5

Step-by-step explanation:

[tex]tan\frac{\theta}{2}[/tex] <== Given

[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1

[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3

[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)

[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5

Simplify. −3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Answers

Answer: -29.9x+37.6

Step by step answer: Use PEMDAS rule

−3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Use the distrubitive property

-6.3x+20.16+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

-6.3x+20.96−5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Reorder/group x's and whole numbers

-6.3x-5.5x-6.3x-5.5x-6.3x+20.96+20.16-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92+1.6

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-3.52

-11.8x-6.3x-5.5x-6.3x+41.12-3.52

-18.1-5.5x-6.3x+41.12-3.52

-23.6x-6.3x+41.12-3.52

-29.9x+41.12-3.52

-29.9x+37.6


Malik needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 2.5 hours and charged him $73 for parts. The
total was $235.50. Write and solve an equation which can be used to determine x, the
cost of the labor per hour.

Answers

Answer:

2.5x+73=235.5

2.5x=162.5

x=65

ANSWER NUMBER 500 L GOOOOOOOO!!!!!!!!!!!!!!!!!

Hope This Helps!!!

The equation will be 2.5x+73=235.5 and the value of x will be 65.

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 Malik needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged him $73 for parts. The total was $235.50.

The equation can be written as below:-

2.5x+73=235.5

2.5x=162.5

x=65

Therefore, the equation will be 2.5x+73=235.5 and the value of x will be 65.

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Identify the explicit formula for the sequence given by the following recursive formula:
(see picture below)

A) f(n) = 2 – 4(n – 1)
B) f(n) = –4 + 2(n – 1)
C) f(n) = 4 – 2(n – 1)
D) f(n) = –2 + 4(n – 1)

Answers

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

the question is what is 4p - 9

Answers

Answer:

4xp-9

Step-by-step explanation:

2-6² +4 2

please help it's review for my finals ​

Answers

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

24. Solve for x: 3x - 2(x - 4) = 5(2x + 4) -3

Answers

x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]

[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]

[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]

[tex]\mathrm{Combine\: like\: terms}[/tex]

[tex]x+8=5\left(2x+4\right)-3[/tex]

[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]

[tex]x+8=10x+17[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]x+8-8=10x+17-8[/tex]

[tex]x=10x+9[/tex]

[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-10x=10x+9-10x[/tex]

[tex]-9x=9[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]

[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]

[tex]\bold{x=-1}[/tex]

if the poins A(-6,-5),B(-3,-2) and C(3,k) is on the same straight line, find the value of k.

Answers

Answer:

4

Step-by-step explanation:

y = x + 1

yeah-ya.... right?

Answer:

4 is the answer i believe

Step-by-step explanation:

C skips 2 dots, Hope this helps:)

I will give brainliest

Answers

14 x 3 = 42
6 x -1 = –6

42 - 6 = 36

Answer:

Its D. 36

Step-by-step explanation:

Determine whether the following relation is a function. Then state the domain and range of the relation or function.
{(5,0), (4, -6), (0, -3), (3,4), (1,1);
Is this relation a function? Choose the correct answer below.
O A. Yes, because each first component corresponds to more than one second component
O B. No, because each first component corresponds to exactly one second component.
O C. Yes, because each first component corresponds to exactly one second component.

Answers

Answer: A

It is a function and no x values repeat .  If the x values repeat more than then it's not a function.

Use the image to solve for t,

Please and thank you!

Answers

Answer:t = 25.Step-by-step explanation:

Since the two triangles are congruent, we can square the triangle's side to find 't'.

=> 5² = t = 25=> 4² = s = 16=> 3² = 9Conclusion:

Therefore, t equals 25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

in simplest terms: (-5x-7)-(-4x-6)(−5x−7)−(−4x−6)

Answers

Answer:

-20x^2-59x-43

Step-by-step explanation:

Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.

Answers

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

The solution is  : the largest angle is 150°.

What is the polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

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PLEASE HELP WILL MARK BRAINIEST!!!!!!!

Answers

Answer:

Option a is the best method with compass and straight edge.

Step-by-step explanation:

Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the patio that Mr.Jones is building?

Answers

38.4 is the area. it’s 8.5 ft long so you do 8.5x2 and you get 17, and then for 10.7 you do 10.7x2 and get 21.4, then you add 21.4 and 17 together.

Answer:

90.95

Step-by-step explanation:

a storage tank is 60% filled with chemical solution. The storage tank holds 1,280 liters of chemical solution. How many liters of chemical solution are needed to fill the storage tank to the​ top?

Answers

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

[tex]\frac{60}{100} = \frac{x}{1280}[/tex]

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

[tex]\frac{40}{100} =\frac{x}{1280}[/tex]

100x=51,200

x=512 L

What is quadratic spline? ​

Answers

The definition of a quadratic spline is that;

A Quadratic Spline is the creation of a set of polynomial functions that are quadratic and follow the format f(x) = ax² + bx + c.

Quadratic Spline

A Quadratic Spline is simply defined as the creation of a set of polynomial functions that are quadratic, or relatively simple to comprehend and must follow the quadratic function format which is;

f(x) = ax² + bx + c

where;

a, b and c are the values gotten in the process of doing the Splines to create the desired functions.

Read more about quadratic functions at; https://brainly.com/question/1214333

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