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Umnica [9.8K]
3 years ago
7

The ratio of muscisians to actors was 2 to 5. If there were 28 musicians, how many actors were there?

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
2•14=28 which is the musicians

5•14=70 which would be the actors

The ratio would be 28:70
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Quadrilateral ABCD is a rhombus with an area of 20 square inches.
Ugo [173]

Answer:

area of rhombus =1/2 d1×d2

20=1/2 ×10×d2

d2=4

intersection of diagonal make right angle and cut in equal parts

d1/2=10/2=5

d2/2=4/2=2

use Pythagoras in right angle to bide side

side^2= 5^2 +2^2

side = √29

8 0
3 years ago
Help me correct this plz
adelina 88 [10]
The answer will be D) 75

To find this it’s easiest to find how many animals there are per percent. So to find this you simply have to divide 30 (the number of cats) by 40 (the percent that makes up) to find the number of animals per percent.

30/40

.75

Then you multiply this by 100 to find how many animals there are total.

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5 0
3 years ago
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From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
timama [110]

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

4 0
2 years ago
The percentage of blue M&M's in a bag is 12%. If you have 125 M&M's in a bag, how many blue M&M's would you expect t
Ugo [173]

Answer:

The expected amount of blue M&M's would be 15

Step-by-step explanation:

12% of 125 is 15 therefore you should expect 15.

7 0
3 years ago
The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.
diamong [38]

Answer:

Option C is the right answer.

Step-by-step explanation:

Given that:

Length of diagonal = 25 inches

Length of rectangle = 9 inches

Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.

Using Pythagorean theorem;

a^2+b^2=c^2\\(9)^2+w^2=(25)^2\\81 + w^2 = 625 \\w^2 = 625-81\\w^2 = 544

Taking square root;

\sqrt{w^2}=\sqrt{544}\\w=23.3

Therefore,

Option C is the right answer.

3 0
3 years ago
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