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gizmo_the_mogwai [7]
3 years ago
7

In a class of 20 students, 40% are boys. 25% of the boys and 50% of the girls wear glasses. How many students wear glasses?

Mathematics
1 answer:
fredd [130]3 years ago
3 0
Calcualate 40% (0.40) times 20 to get that there are 8 boys in the class. The rest must be girls, so 20 - 8 gives you 12 girls. 25% (0.25) times the 8 boys gives you that 2 of the boys wear glasses. 50% (0.5) times the 12 girls tives you that 6 girls wear glasses. Add together the 2 boys and the 6 girls that wear glasses to get that a total of 8 students wear glasses.
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Use the digits 2, 3, and 5 to create a fraction and a whole number with a product greater than 2
kupik [55]
The fractions which cannbe formed are: 2/3, 3/2, 2/5, 5/2, 3/5 and 5/3.
Now, we find the products with the third number:
2/3*5= 10/3 = 3.33 > 2
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2/5*3= 6/5 (rejected)
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3/5*2= 6/5 (rejected)
5/3*2 = 15/2 = 7.5> 2
5 0
3 years ago
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Determine whether the graph of y^5=x^3 is symmetric with respect to the Y axis the x-axis or the origin.
zhannawk [14.2K]

9514 1404 393

Answer:

  the origin

Step-by-step explanation:

Both terms are of odd degree, so the function is an odd function. It is symmetrical with respect to the origin.

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If you recast this as y = f(x), then ...

  f(x) = x^(3/5)

When we look at f(-x), we find ...

  f(-x) = ((-x)^3)^(1/5) = -(x^3)^(1/5) = -(x^(3/5)) = -f(x)

An odd root of a number has the same sign as the number.

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7 0
3 years ago
Can someone help me with this? I am a little confused
arsen [322]
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3 years ago
Find the seventh term of the expansion of (3x+7y)^11
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Step-by-step explanation:

We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;

(3x + 7y)^11  =  ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....

The 7th term in our case is;

₁₁C₆ (3x)⁵(7y)⁶

According to the attached Pascals Triangle, the coefficient  for our term should be 462, so;

462 (3x)⁵(7y)⁶

= 462 (243x⁵) (117,649y⁶)

= 13,207,982,634 x⁵y⁶

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