Heather is putting together a square bulletin board for her new room, and the area of the bulletin board is 196 cm2. What is the total distance around the bulletin board?

Answer:

x = 8/3

Alternative form

x = 2 2/3, x = 2.6

Step-by-step explanation:

First, simplify the equation using cross-multiplication

3x = 8

then divide both sides of the equation by 3 and there's your answer

x = 8/3

Answer:

200,000cm

Step-by-step explanation:

1m = 100cm

2000m = ?

2000 × 100 = 200,000cm

2,00,000cm

Step-by-step explanation:

1m= 100cm

2000m=?

2000m= 2000× 100 cm

= 2,00,000cm

Answer:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Step-by-step explanation:

Given the following numbers, [tex] \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3} [/tex], let's express each as whole or decimal numbers, to find out the least to the greatest.

[tex] \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} [/tex]

[tex] \frac{3}{2} = 1.5 [/tex]

[tex] \sqrt{5} [/tex] ≈ 2.2

2.5 (already in decimal form)

[tex] \frac{5}{3} [/tex] ≈ 1.7

From the least to the greatest, we have:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Answer:

The solution for the inequality is -3< x <5

The viable solutions are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies

Step-by-step explanation:

The given inequalities are;

2·x - 3 < 7 and 5 - x < 8

Therefore, we have;

2·x - 3 < 7

2·x < 7 + 3

2·x < 10

x < 5

From the other inequality, we have;

5 - x < 8

-x < 8 - 5 = 3

-x < 3

-x/(-1) > 3/(-1)  

x > -3

Therefore, the solution for the inequality is given as follows;

-3< x <5

The possible values are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.

Answer:

The desired quotient is 25/12.

Step-by-step explanation:

Rewrite 1 2/3 as an improper fraction:  5/3.

Then divide this 5/3 by 4/5:

 5

------ ÷ 4/5

  3

It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):

  5       5       25

----- *  ----- = ------

  3        4       12

Step-by-step explanation:

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Steps to solve:

9|9 - 8x| = 2x + 3

~Divide 9 to both sides

|9 - 8x| = 2/9x + 1/3

~Solve absolute value (part one)

|9 - 8x| = 2/9x + 1/3

-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)

-74/9x = -26/3 (Subtracted 9 to both sides)

x = 39/37 (Multiplied 37/39 to both sides)

~Solve absolute value (part two)

|9 - 8x| = -(2/9x + 1/3)

|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)

-70/9x + 9 = 11/3 (Added 2/9x to both sides)

-70/9x = -28/3 (Subtracted 9 to both sides)

x = 6/5 (Multiplied 9/-70 to both sides)

Therefore, the solutions are x = 39/37 and x = 6/5

Best of Luck!

Answer:

D. Divide the price per square foot by 3 ​

Step-by-step explanation:

1 foot = 0.333333 yard

price per square yard of the hardwood = price per square foot / 3

For instance, If the price per square foot is $900, then the price per square yard is

price per square yard of the hardwood = price per square foot / 3

= 900 / 3

= 300

price per square yard of the hardwood = $300

Answer:

Variables with no number have a coefficient of 1.

Step-by-step explanation: x is really 1x.

Answer: The answer is A. 2.

Answer:    your answer is A

Answer:

A. 31 and B. 26

Step-by-step explanation:

In order for x+6<38 to be true, we need to find the maximum number x can be. So we move 6 to other side which gives us x<32

Of the options A. 31 and B. 26 are the only ones that are less that 32. E. 32 does not count because x must be less than 32, not equal to it.

Hope this helped!

Answer:

draw the line from the -6 in the y axis to the 3 in the x axis

Answer:

-19

Step-by-step explanation:

We know:

Samuel walks  forward 19 steps. So number is+19

We need to find:

How would he represent the opposite of this number

Answer :

Number = 19

To represent the opposite of this number Samuel should first take 19 steps back to reach his original position that is zero and then needs to move 19 steps backward to get -19.

Maybe use a calculator?

Answer:

140%

Step-by-step explanation:

Move the decimal over to the right two places!

:D

Answer: 140 percent I hope this answers your question!

Answer:

34 boxes

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

about 0.00645 pounds

Step-by-step explanation:

3.225 / 500 = 0.00645

Answer:

A single paper should weigh about 0.00645

Step-by-step explanation:

All you really need to do is divide 3.225 by 500.

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope it helps you..

Thanks

.

Answer:

196.47%

Step-by-step explanation:

1 is 100

So the rest just add in

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following functions :

sin^4 (x) = f(g(x)) where f(x) = and g(x) =

Sin⁴(x) = sin(x)⁴

g(x) = sin(x),

f(x) = f(g(x)) = f(sin(x)⁴) = x⁴

2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =

g(x) = sin(x) ; sinx = x

g(x) = sin(x)

f(x) = f(g(x)) = sin(x) ; sin(x) = x

f(x) = f(g(x)) = f(sin(x))

f(x) = sin(x)

3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .

Here,

g(x) = x⁴

f(x) = f(g(x)) = sin(g(x)) = sin x

f(x) = sinx

The functions are illustrations of composite functions, where multiple functions are combined in one.

(1) sin^4 (x) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin^4(x)[/tex]

So, we have:

[tex]f(g(x)) = (\sin(x))^4[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = (g(x))^4[/tex]

Substitute x for g(x)

[tex]f(x) = x^4[/tex]

Hence, the functions are:  [tex]f(x) = x^4[/tex] and [tex]g(x) = \sin(x)[/tex]

2.) sin(sin(x)) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(\sin(x))[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = \sin(x)[/tex]

3. sin x^4 = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(x^4)[/tex]

From the above equation, we have:

[tex]g(x) = x^4[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = x^4[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170

Answer:

10)17.5

11)18

12)70

13)110

Problem 10

This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)

======================================

Problem 11

Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.

======================================

Problem 12

The angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.

======================================

Problem 13

Opposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.

Answer:

log 3 x +1 = f^-1(x)=[tex]\frac{10^x^-^1}{3}[/tex]

log 3 (x-1) = f^-1(x)=[tex]\frac{x}{log(3)} +1[/tex]

log 3 x - 1 = f^-1=[tex]\frac{10^x^+^1}{3}[/tex]

The inverse of the function f(x) = 3x - 1 is f⁻¹(x) = (x + 1)/3.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, f(x) = 3x - 1.

Or y = 3x - 1.

3x = y + 1.

x = (y + 1 )/3.

f⁻¹(x) = (x + 1)/3.

learn more about the inverse of functions here :

https://brainly.com/question/2541698

#SPJ2

Answer:

200 squared meters.

Step-by-step explanation:

Since we know the court is a rectangle, we can use the formula for the area of a rectangle:

[tex]A=lw[/tex]

Where l is the length and w is the width.

We are given that the length is 20 meters and the width is 10 meters. Substitute:

[tex]A=20(10)[/tex]

Multiply:

[tex]A=200\text{ meters}^2[/tex]

So, the area of the court is 200 squared meters.

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

[tex]midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex])

[tex]midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2} [/tex])

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

Hope it helps....

Answer:

for the first question, the answer is B

6 × 6 (faces of a dice) = 36, there are 6 way to add 1-6 to 7 (1+6, 2+5, 3+4), so the answer is 6/36 or simplified into 1/6

for the second question, the answer is B

3/4 = 15/20, 3/5 = 12/20 (least common multiple is 20)

15/20 - 12/20 = 3/20