A circle is divided into 6 equal parts. What is the angle measure of 1 part?

Answers

Answer 1
Answer: The angle measure of one part will be 60.

360/6 = 60 

That is because the circle it divided into 6 equal parts and the whole circle is 360.

Hope this helps :)

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The following are the ages (years) of 5 people in a room: 25, 18, 17, 13, 24 A person enters the room. The mean age of the 6 people is now 22. What is the age of the person who entered the room?

Answers

Answer:

See Below:

Step-by-step explanation:

Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.

22= (25+18+17+13+24+x)/6

Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.

22 = (25+18+17+13+24+x)/6     Multiply both sides by 6

132= 97+ x  Subtract 97 from both sides.

35 = x

The person who just entered the room is 35 years old.

Final answer:

To solve this, we first find the total age of the original five people, then the total age of all six with the given mean age. By subtracting these, we find that the age of the person who entered is 35 years old.

Explanation:

This problem can be solved using simple arithmetic. First, we calculate the total age of the first 5 people, which is 25 + 18 + 17 + 13 + 24 = 97 years. Then, we need to determine the total age of all 6 people. We're told the mean (average) age of these 6 people is 22. We find the total by multiplying the mean by the number of people, so 22 * 6 = 132 years. Finally, to find the age of the person who entered the room, we subtract the total age of the first 5 people from this new total, i.e. 132 - 97 = 35 years. So, the person who entered the room is 35 years old.

Learn more about Mean Calculation here:

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f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4) (a) x A 을 c. (5) (r) = 1,2*0 OD (1) (a= + 2​

Answers

Answer:

Option D

Step-by-step explanation:

Given f(x) = \sqrt[3]{4x}

g(x) = 2x + 3

Since, ((f)/(g))(x)=(f(x))/(g(x))

                     =\frac{\sqrt[3]{4x}}{2x+3}

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠ -(3)/(2)

Therefore, Option D will be the correct option.

A new television is on sale for $680.00, which is 20% off of its original price. What was the original price of the television?

Answers

x= original price
% off= 20%
Sale $= $680

STEP 1:
Find discount amount

Discount Amount= % off * Original $
= 20% * x
change % to decimal (% ÷ 100)
= 0.20 * x
= 0.20x

STEP 2:
Find sale price

Sale Price= Original $ - Discount
= x - 0.20x
= 0.80x

STEP 3:
Sale= $680= 0.80x
Solve for x

$680= 0.80x
divide both sides by 0.80
$680/0.80= x
$850= x

ANSWER: The original price is $850

Hope this helps! :)

What is the simplified expression

Answers

Answer:

D) -4x-1

Step-by-step explanation:

-1(2x+3)-2(x-1)

-2x-3-2x+2

-4x-1

Therefore D is correct

5 years ago, Cheryl was d years old, Brandon is 2 years older than Cheryl.a. how old is Cheryl

b. how old is Brandon

c. what was the difference in their ages 5 years ago?

d. what is the sum of their ages now?

e. what will the sum of their ages be two years from now?

f. what will the difference of their ages be two years from now

will mark the brainliest.

Answers

Answer: See explanation

Step-by-step explanation:

a. how old is Cheryl?

Cheryl's age = d + 5

b. how old is Brandon?

d + 5 + 2

= d + 7

c. what was the difference in their ages 5 years ago?

Cheryl age five years ago = d

Brandon's age five years ago = d + 2

Difference = d + 2 - d = 2 years

d. what is the sum of their ages now?

Cheryl's age = d + 5

Brandon age = d + 7

Sum = d + 5 + d + 7

= 2d + 12

e. what will the sum of their ages be two years from now?

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Sum = d + 7 + d + 9

= 2d + 16

f. what will the difference of their ages be two years from now

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Difference = Brandon age - Cheryl age

= (d + 9) - (d + 7)

= 2 years.

Help D: An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the formula d = –16t2 + 1,000. Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?A.-16t^2+1000<300

B. -16t^2+1000<_ 300

C. -16t^2+1000>_300

D.-16t^2+1000>300

Answers

Answer:

D. -16t^2+1000>300 is the correct answer.

Step-by-step explanation:

It is given that Distance, d above ground  with time 't' is given by the formula:

d = -16t^2+1000

The negative sign with 16t^2 indicates that the distance is decreasing with square of time. i.e. value is getting subtracted from a value 1000.

For example, if t = 0, d = 1000 feet

If t = 2, d = -16* 4 + 1000 = 936 feet

We can clearly see that when 't' is increasing, the distance 'd' is decreasing.

And at a certain time, the object will be on ground when d = 0 feet.

Inequality for the distance greater than 300 feet i.e.

d > 300 feet

Hence, the inequality will be:

-16t^2+1000 >300  is the correct answer.