simplify this expression - 1/2 ( -5/6 + 1/3 )

Answers

Answer 1
5/6 divided by 1/3 multiplied by 1/2
You cannot divide, you have to multiply the reciprocal of the 2nd fraction, it would turn into:
5/6 multiplied by 3/1 multiplied by 1/4
Next step, set up the problem:
%285%2F6%29%283%2F1%29%281%2F4%29
Now multiply across:
numerator:
5 x 3 = 15
15 x 1 = 15
denominator:
6 x 1 = 6
6 x 4 = 24
15%2F24
Simplify, 3 is the highest number able to be divided into both:
15/3 = 5
24/3 = 8
5%2F8

Related Questions

Lincoln is saving $360 to buy a new bike. He already has $85 and can earn $12 per hour at work. Which of the following equations describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?

Answers

Answer:

85 + 12w =360

Step-by-step explanation:

Could someone help, please?

Answers

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]

[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]

[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]

ST² = 10.2 × 14.3

ST = [tex]\sqrt{145.86}[/tex]

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.

What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2

Answers

4x^2+4x+1-x-13= 4x^2+3x-12

4x^2+3x-12=3x^2-2x+2

X^2+5x-14=0

Then use quadratic equation to find the values of the 2 x and you will get,

x=2 and x=-7

I need help with this question it’s due today!

Answers

Answer:

15

Step-by-step explanation:

4:5

4 x 3 = 12 girls

5 x 3 = 15 boys

12:15

Answer:

D. 15

Step-by-step explanation:

4:5

4/5×3/3=12/15

12/15.....12 girls, 15 boys

:) ur welcome

No files just type it in

Answers

( 3 × 5 ) + ( 2 × 4 ) =

15 + 8 = $ 23

Triangle NOP is similar to triangle QRS. Find the measure of side RS. Round your answer to the nearest tenth.

Answers

Answer:

22.1

Step-by-step explanation:

If the triangle is similar then the side lengths have common ratios

*Create ratio to solve for RS*

47.8/13 = RS/6

Now solve for RS

simplify

47/13 = 3.677

We now have 3.677 = RS/6

Multiply each side by 6

3.677 * 6 = 22.1

RS/6 * 6 = RS

we're left with RS = 22.1

For the question my answer was -1 but other people were saying the answer was 53. This is my proof that the answer is -1.

Answers

Answer:

53 is the correct answer

Step-by-step explanation:

Your error is the first step

for x = 3

(3x)² = (3 * 3)² = 9² = 81

Anyone know the answer? Please and thank you

Answers

Answer:

x = 9

Step-by-step explanation:

Given 2 secants from an external point to the circle , then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides

9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )

3x = 27 ( divide both sides by 3 )

x = 9

during a sale , a shop allows 20%
discount of the marked price of clothing . What will a costumer pay for a dress with a marked price of $30?​

Answers

Answer:

$24

Step-by-step explanation:

original price of a dress = $30

discount = 20%

discount amount = discount% of original price

=20/100 * 30

=30/5

=$6

price that consumer will pay after discount = $30 - $6

=$24

Step-by-step explanation:

6$

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance
around the track is 400 meters. Determine the radius of the semicircular ends of the track in terms of y.

Answers

Answer:

r = (200 - y)/π

Step-by-step explanation:

The question details  includes;

The shape of the indoor track = Two semi-circular ends and a mid rectangular region

The distance around the indoor track = 400 meters

The radius, r, of the semicircular ends in terms of y = Required

Let y represent the length of the rectangular middle area of the track, we have;

The perimeter of the indoor track = The distance around the track = 400 m

The perimeter of the indoor track = 2 × π·r + 2 × y = 400

2 × (π·r + y) = 400

∴ π·r + y = 400/2 = 200

r = (200 - y)/π

A penny is dropped from the top of the chrysler building(320 m high). How fast is it moving when it hits the ground? (no troll)

Answers

Answer:

I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.

The Jones family wants to enclose their circular garden with a fence. To the 1 point
nearest meter, what is the minimum length of fencing they need to buy?
Note that radius of garden is 62.5m. User as 3.14.

Answers

Answer:

Step-by-step explanation:

We have to find the circumference.

Length of the fence = 2πr

                                 = 2* 3.14 * 62.5

                                 = 392.5

                                 = 393 m

Need the answer please help ?

Answers

I think it is B not fs tho

Which functions have a range of ..

Answers

Answer:

Options (3) and (5)

Step-by-step explanation:

Option (1)

f(x) = x² + 7x - 2

     = x² + 2(3.5)x + (3.5)² - (3.5)² - 2

     = (x + 3.5)² - 14.25

Therefore, vertex of the graph → (-3.5, -14.25)

And the graph will open upwards.

Range of the function → [-14.25, ∞)

Option (2)

f(x) = -(x + 1)² - 4

Since, leading coefficient is negative, curve of the function will open downwards.

Vertex → (-1, -4)

Range of the function → [-4, -∞)

Option (3)

f(x) = -4x + 11

This function is defined for all real values of x.

Range of the function → (-∞, ∞)

Option (4)

f(x) = [tex]2^{x+3}[/tex]

Range of this exponential function → (0, ∞)

Option (5)

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

Function is defined for all real values of x.

Range of the function will be (-∞, ∞)

Therefore, Options (3) and (5) are the correct options.

( 3 1 ​ ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals

Answers

Answer:

I guess that we have the equation:

(1/3)^2 + 3^2 =

And we want to solve it.

Here just remember that:

3^2 = 3*3 = 9

then:

(1/3)^2 = (1/3)*(1/3) = 1/9

replacing these in the expression, we get:

(1/3)^2 + 3^2 = 1/9 + 9

If we want to write this as a single fraction, we can rewrite:

1/9 + 9 = 1/9 + (9/9)*9

           = 1/9 + 81/9 = (1 + 81)/9 = 82/9

The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]

Calculate 3 squared:

[tex]3^2 = 9[/tex]

Now, substitute these values back into the original equation:

[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]

To add these fractions, you need a common denominator. In this case, the common denominator is 9:

1/9 + 81/9 = (1 + 81)/9 = 82/9

So, the solution to the equation is 82/9.

To know more about equation:

https://brainly.com/question/14603452

#SPJ3

Complete question is:

Solve the equation: (1/3)^2 + 3^2 =

Name the vertex for this parabola. *
y = (x + 6)^2 + 15

Answers

The vertex would be (-6,15)

Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45

Answers

Answer:

a) Número siguiente = Número anterior * 2

b) Número siguiente = Número anterior + 2

c) Número siguiente = Número anterior + (n + 1)

Step-by-step explanation:

a) Para la secuencia 2,4,8,16,32,64, ....

El siguiente número es dos veces el número anterior.

Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.

b) Para la secuencia 1,3,5,7,9, ....

El siguiente número es igual al número anterior + 2

Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.

c) Para la secuencia1,3, 6,10,15,21,28,36,45

La diferencia entre los números aumenta en +1.

3-1 = 2

6-3 = 3

10-6 = 4

15-10 = 5

21-15 = 6

28-21 = 7

NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12

Answers

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

Identify the domain of the function shown in the graph.
O A X20
OBXSO
O c. xis all real numbers.
D-43XSO
Can someone please help me

Answers

Answer:

A x >= 0

Step-by-step explanation:

a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").

so, y = f(x)

and (x,y) are then usually the coordinates on the grid.

the domain is the range or interval of numbers the function is using (x) to create results (y).

so, look at the graph !

for what values of x do you see the functional line drawn ?

that means, the functional line goes along only what part of the x-axis ?

I see it starts at x=0 and then continues all the way to the right and clearly further.

for me that means f(x) calculates values for every positive x we can think of. and including 0.

it does not do anything for any negative x-values.

so, clearly answer A (x>=0) is right.

Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?

Answers

Answer:

the 2nd one

Step-y-step explanation:

Simplify the trigonometric expression sin(4x)+2 sin(2x) using Double-Angle
Identities.
A. 8sin(x) cos(x) - 4 sin(x) cos(x)
B. 8sin(x) cos(x)
C. 8sin(x) cos(x) – 8 sin(x) cos(x)
D. 8 sin(x) cos' (x) +8sin(x) cos(x)

Answers

Answer:

[tex]{ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}[/tex]

UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number​

Answers

Answer:

x = 15.8

Step-by-step explanation:

let the number be x

according to the question equation is

x*5 - 2 = 77

5x - 2 = 17

5x = 77 + 2

5x = 79

x = 79/5

x = 15.8

Answer:

5x - 2 = 77

x = 15.8

Step-by-step explanation:

a number - x

times 5 - 5x

minus 2 - 5x - 2

equals 77 - 5x - 2 = 77

77 + 2 = 79

79 ÷ 5 = 15.8

5(15.8) - 2 = 77

Question 16
Use the rule for order of operations to simplify the expression as much as possible:
Question Help: Video
Submit Question
ps://www.myopenmath.com/asset
1721&ald-80137968

Answers

Answer:

16

Step-by-step explanation:

[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]

Multiplication and division are priority to addition and subtraction

Brainliest please

Answer the question in the picture

Answers

Answer:

10 ^3 * 10 ^2

1/ 10 ^5

10*10*10*10*10

Step-by-step explanation:

10 ^4^1 = 10 ^(4*1) = 10 ^4

10 ^3 * 10 ^2 = 10 ^(3+2) = 10 ^5

1/ 10 ^5 = 10 ^5

10 ^3^2 = 10 ^(3*2) = 10 ^6

10*10*10*10*10 =10 ^5

Double the number t?

Answers

Answer:

2t

Step-by-step explanation:

simplify (csc x)^2 - 1

Answers

Answer:

Step-by-step explanation:

[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other
of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm 7
• 7 cm and 2 cm

8 cm and 9 cm

Answers

3514 1404 393

Answer:

  (d)  8 cm and 9 cm

Step-by-step explanation:

The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...

  8 cm and 9 cm

Answer:

{D. 8cm & 9cm}

Step-by-step explanation:

#CARRYONLEARNING

Solve the system by substitution.
— бу = x
x + y = -30

Answers

Step-by-step explanation:

-6y + y=-30

-5y = -30

y=6

x=-6 ×6= -36

1 kilogram of flour costs 80.00, calculate the number of kilograms in a bag is sold for 4,000.00 ​

Answers

Answer:

a

Step-by-step explanation:

everything can be found in the picture

Answer:

50kg

Step-by-step explanation:

because 1 bag costs80

so

divide 4000

80

ans=50kg

Please help me here in an algebraic maze that I hardly understand, please help me, my time is running out on a math test.

Answers

Answer:

??i never did this before

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