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solniwko [45]
3 years ago
8

What is the radius of a circle having circumference 44 cm​

Mathematics
1 answer:
horsena [70]3 years ago
7 0
Just do circumference over pi (this'll give you the diameter) and then divide by 2 to get radius like so:

44/pi=14.0056349921/2=7.0028175 is your answer

îdk how you wanna round but nearest hundredth would be 7.00 cm while nearest tenth would be 7.0 cm and nearest whole number would be 7 cm
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Assume that advanced students average 93% on an achievement test and regular students averaged 75%. If 100 advanced students and
Lemur [1.5K]
Average (mean) = (sum of all the data) / (# of data)

sum of all the data = (average)(# of data)

Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300

and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500

Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %

Now if there are x # of advanced students and y # of regular students, then

x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)

The second equation can be simplified to x - 2y = 0

Subtracting the two equations yields

x = 60 and y = 90

Therefore you would need 60 advanced and 30 regular students.
7 0
3 years ago
Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
zloy xaker [14]
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.

"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4

Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

[15, ∞)

In set builder notation it would look something like this:

{x | x ∈ R, x ≤ 15}

It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
7 0
3 years ago
A 45-45-90 triangle has a hypotenuse of length 7. What is the length of one of its legs? If necessary, round your answer to two
harkovskaia [24]
If the legs are legnth x, then the hyptonuse is x√2

x√2=7
divide both sides by √2
x=7/√2
times (√2)/(√2)
(7√2)/2
3.5√2
aprox 4.94974
round
4.95
4 0
3 years ago
What is the answer to 2(x+4)-3
gizmo_the_mogwai [7]
2x+8-3
8-3=5
5/2= 2.5
4 0
3 years ago
Read 2 more answers
The aquarium has 198 guppies, angelfish and catfish altogether.
BabaBlast [244]

Answer:

Number of catfish = 28

Step-by-step explanation:

Let the number of catfish = c

Number of angle fish = c + 6

Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24

Total fishes = 198

c + c + 6 + 4c + 24 = 198           {Combine like terms}

c + c +4c + 6 + 24 = 198

                6c + 30 = 198              {Subtract 30 from both sides}

                     6c    = 198 - 30

                     6c   = 168

                       c = 168/6           {Divide both sides by 6}

                       c = 28

5 0
3 years ago
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