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Anarel [89]
3 years ago
7

3 of 4

Mathematics
1 answer:
vfiekz [6]3 years ago
5 0

Answer:

45% of the students prefer biology

Step-by-step explanation:

Let's read and write all the data from the question.

100 students are interviewed to see which of biology, chemistry and physics they prefer.

Therefore, we have three categories to classify the students :

A student that prefers biology

A student that prefers chemistry

And a student that prefers physics

52 of the students are girls. Therefore,

students are boys.

29 of the girls like biology best. In order to answer the question, we will only need the amount of boys that prefer biology and sum them to the amount of girls that like biology best.

24 of the boys prefer physics. Therefore,

is the sum of the boys that prefer chemistry and biology.

If 24 is the sum of the boys that prefer chemistry and biology ⇒

are boys that prefer biology.

If we sum  is the number of students that prefer biology.

If we want to calculate the percentage we need to divide the amount of students that prefer biology by the total of students interviewed and then multiply that number by 100 :

%

45 % of the students prefer biology.

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PLZ help me with this :(
Kaylis [27]

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

8 0
4 years ago
Find the area of this figure SHOWING ALL YOUR WORK (preferably on paper). It must include units. Show formulas for area that are
Slav-nsk [51]

Answer:

18550 cm²

Step-by-step explanation:

Please see the attached pictures for full solution.

5 0
4 years ago
1) Which circles are congruent?
alexdok [17]
Hello!

1) A and D

The radius is the distance from the center of a circle to any part of the edge. Both A and D have a radius of three, regardless of what direction they go.

2)  5"

In circle C we see that there is a line segment that is 5" that goes from the center to the edge, or the radius.

3) C

The different variables are representing different points on the circles. The circle that contains a line connecting C and L is circle C.

4) BN

Circle B contains a radius that is the distance from B to N, or BN.

5) EF

The diameter is the distance of a  straight line that was pass through the middle of a circle, or its width. The diameter is double the radius. In circle A we see that line EF passes through the center put goes all the way across the circle.

6)IJ

Line IJ isn't even linear, so it could not be the radius. Both AG and BH are straight lines that represent the radius.

7) 6"

The diameter is always twice the radius. In circle A the radius is 3, so the diameter is 6.

8) A and D

Just as we said in the first answer, A and D both have a radius that measures 3 inches.

I hope this helps!
7 0
3 years ago
The weight of Sean's puppy is 4 pounds more than 2 times it's weight, in pounds, of Jay's puppy. If Sean's puppy weighs 24 pound
diamong [38]
S = 2j + 4
s = 24

24 = 2j + 4
24 - 4 = 2j
20 = 2j
20/2 = j
10 = j....jay's puppy is 10 lbs
3 0
4 years ago
Read 2 more answers
Resolve 3x-1÷(x+1)^2 into partial fraction<br>​
garri49 [273]

9514 1404 393

Answer:

  3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

  A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

  = (A +B(x +1))/(x +1)^2

Then we require ...

  B = 3

  A +B = -1   ⇒   A = -4

So, the desired expansion is ...

  3/(x +1) -4/(x +1)^2

4 0
3 years ago
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