What percent of 84 is 9?

Answers

Answer 1

Answer: If you would like to know what percent of 84 is 9, you can calculate this using the following steps:

x% of 84 is 9
x% * 84 = 9
x/100 * 84 = 9
x/100 = 9 / 84
x = 9/84 * 100
x = 10.71

The correct result would be 10.71%.

Answer 2

Answer:

The percentage of the number 84 which equals 9 is 75/7 percent.

How to determine a percentage?

Given the parameter:

"9 is what percent of 84"

To find what percent of 84 is 9, you can use the following formula:

Percent = (Part / Whole) × 100

Where:

Part = 9 (the smaller value you want to find the percentage of)

Whole = 84 (the larger value)

Now, plug in the values:

Percent = (9 / 84) × 100%

Simplifying we get:

Percent = (9 / 21) × 25%

Percent = (75/7)%

Therefore, 9 is 75/7 percent of 84.

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Is the inequality sometimes,always, or never true ? A. 3(x +3) >- 3 (2 +x)
B. 9-x-5<-x+4

Answers

A. 3(x + 3) > -3(2 + x) SOMETIMES TRUE

3(x + 3) > -3(2 + x) |use distributive property a(b + c) = ab + ac

3x + 9 > -6 - 3x |add 3x to both sides

6x + 9 > -6 |subtract 9 from both sides

6x > -15 |divide both sides by 6

x > -15/6

x > -2.5

B. 9 - x - 5 < - x + 4 NEVER TRUE

9 - x - 5 < - x + 4

4 - x < - x + 4 |add x to both sides

4 < 4 FALSE

Which binomial must be added to (4r+10) so that the sum of the two polynomials is (6r-2) ?

Answers

Answer: 2r-12

Step-by-step explanation:

(4r+10)+____=(6r-2)

_____=(6r-2)-(4r+10)

_____=6r-2-4r-10

_____=2r-12

The number of T-shirts a basketball team orders depends on the number of players on the team. **Remember: THE OUTPUT depends on THE INPUT

Answers

The total of T-shirts is proportional to the total of players, which means 15 players = 15 t-shirts.

What is a proportion?

A proportion describes the number of elements from one category compared to the number of elements in another. For example, if there are 15 boys and 15 girls in a classroom the number of girls and boys is proportional.

How are the number of t-shirts and players related?

These have a proportional relationship because for every player it is expected there is a determined t-shirts number and this number can only increase if the players increase.

1 t-shirt per player:

36 players = 36 t-shirts

2 t-shirts per player:

36 players = 72 t-shirts

Learn more about proportions in brainly.com/question/2534088

Solve by factoring completely, Please show steps
Thanks!

X^2=4x+12

Answers

steps are shown in the picture above

minus 4x+12 both sides
x^2-4x-12=0
what multipies to -12 and add to -4
-6 and 2
(x-6)(x+2)=0
set to zero
x-6=0
x=6

x+2=0
x=-2

x=-2 and 6

Can someone help me in this trig question, please? thanks A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12

Answers

The exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).

The position

Since the position of the carousel is (x, y) = (20cosθ, 20sinθ) and we need to find the position when θ = 5π/12 = 5π/12 × 180 = 75°

So, substituting the value of θ into the positions, we have

(20cos75°, 20sin75°)

The value of 20cos75°

20cos75° = 20cos(45 + 30)

Using the compound angle formula

cos(A + B) = cosAcosB - sinAsinB

With A = 45 and B = 30

cos(45 + 30) = cos45cos30 - sin45sin30

= 1/√2 × √3/2 - 1/√2 × 1/2

= 1/2√2(√3 - 1)

= 1/2√2(√3 - 1) × √2/√2

= √2(√3 - 1)/4

= (√6 - √2)/4

= (-√2 + √6)/4

So, 20cos75° = 20 × (-√2 + √6)/4

= 5 (-√2 + √6)

The value of 20sin75°

20sin75° = sin(45 + 30)

Using the compound angle formula

sin(A + B) = sinAcosB + cosAsinB

With A = 45 and B = 30

sin(45 + 30) = sin45cos30 + cos45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= 1/2√2(√3 + 1)

= 1/2√2(√3 + 1) × √2/√2

= √2(√3 + 1)/4

= (√6 + √2)/4

= (√2 + √6)/4

So, 20sin75° = 20 × (√2 + √6)/4

= 5(√2 + √6)

Thus, (20cos75°, 20sin75°) = 5 (-√2 + √6), 5(√2 + √6).

So, the exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).

Learn more about position here:

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$\bf \textit{the position of the rider is clearly }20cos\left( (5\pi )/(12) \right)~~,~~20sin\left( (5\pi )/(12) \right)\n\n-------------------------------\n\n\cfrac{5}{12}\implies \cfrac{2+3}{12}\implies \cfrac{2}{12}+\cfrac{3}{12}\implies \cfrac{1}{6}+\cfrac{1}{4}\n\n\n\textit{therefore then }\qquad \cfrac{5\pi }{12}\implies \cfrac{1\pi }{6}+\cfrac{1\pi }{4}\implies \cfrac{\pi }{6}+\cfrac{\pi }{4}\n\n-------------------------------$

$\bf \textit{Sum and Difference Identities}\n\nsin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)\n\ncos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)\n\n-------------------------------\n\ncos\left( (\pi )/(6)+(\pi )/(4) \right)=cos\left( (\pi )/(6)\right)cos\left((\pi )/(4) \right)-sin\left( (\pi )/(6)\right)sin\left((\pi )/(4) \right)$

$\bf cos\left( (\pi )/(6)+(\pi )/(4) \right)=\cfrac{√(3)}{2}\cdot \cfrac{√(2)}{2}-\cfrac{1}{2}\cdot \cfrac{√(2)}{2}\implies \cfrac{√(6)}{4}-\cfrac{√(2)}{4}\implies \boxed{\cfrac{√(6)-√(2)}{4}}\n\n\nsin\left( (\pi )/(6)+(\pi )/(4) \right)=sin\left( (\pi )/(6)\right)cos\left( (\pi )/(4) \right)+cos\left( (\pi )/(6)\right)sin\left((\pi )/(4) \right)$

$\bf sin\left( (\pi )/(6)+(\pi )/(4) \right)=\cfrac{1}{2}\cdot \cfrac{√(2)}{2}+\cfrac{√(3)}{2}\cdot \cfrac{√(2)}{2}\implies \cfrac{√(2)}{4}+\cfrac{√(6)}{4}\implies \boxed{\cfrac{√(2)+√(6)}{4}}\n\n-------------------------------\n\n20\left( \cfrac{√(6)-√(2)}{4} \right)\implies 5(-√(2)+√(6))\n\n\n20\left( \cfrac{√(2)+√(6)}{4} \right)\implies 5(√(2)+√(6))$

"I am an odd number. I am more than 40. I am less than 42. I am ________."

Answers

Final answer:

"I am an odd number. I am more than 40. I am less than 42. I am 41"

Explanation:

This problem can be solved through basic number sense. We are dealing with a specific subset of numbers - odd numbers. We are told that this number is more than 40 and less than 42. Thus, the number we're looking for here is essentially the only odd number that falls between 40 and 42, which is 41.

When you say you are an odd number that is more than 40 and less than 42, there is only one number that fits this criteria: 41. In the range between 40 and 42, the only odd number is 41.

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The answer is 41 obviously

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