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nadezda [96]
3 years ago
12

Solve:

Mathematics
1 answer:
Basile [38]3 years ago
3 0
\cfrac{25x^5+10x^2}{5x} = \cfrac{5x(5x^4+2x)}{5x} =5x^4+2x
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The value of y varies directly with x2, and y = 150 when x = 5.<br> What is the value of y when x=3?
kow [346]
<span>The value of y when x=3 when the value of y varies directly with x^2, and y = 150 when x = 5 is 54. Since the value of y varies directly with x2, then: y = k * x^2, where k is constant. When y = 150 and x = 5, the value of constant is: 150 = k * 5^2. 150 = k * 25. k = 150/25. k = 6. Thus, when x = 3, the value of y will be: y = 6 * 3^2. y = 6 * 9. y = 54.</span>
3 0
3 years ago
Solve the proportion: 12/16=9/48x
ivanzaharov [21]

Hey there

the answer is

x=4

thank you

    OFFICIALLYSAVAGE2003

5 0
3 years ago
In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who
Veseljchak [2.6K]

Answer:

In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.

But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?

Thank you for all of the help.

That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)

So: the two events are not independent, and so that formula doesn't work.

Fortunately, a formula that does work (always!) is:

P(A∪B)=P(A)+P(B)−P(A∩B)

Hence:

P(A∩B)=P(A)+P(B)−P(A∪B)=2230+1830−2730=1330

7 0
3 years ago
Busi has a bag containing 20 balls. There are twice as much yellow balls than blue balls, but yellow balls are only a third of r
Darina [25.2K]

Answer:

12 red balls

4 yellow balls

2 blue balls

2 green balls

Step-by-step explanation:

set no. of yellow, blue, red and green ball as y, b, r, g respectively

y=2b

r=3y

g=b

y+b+r+g = 20 (translate all of them into b (smallest in qty)

2b + b + 3(2b) + b = 20

10b = 20

b =2

y = 4, r = 12, b =2, g =2

5 0
2 years ago
What’s the area of this? i really need help....50 points if u help me :)
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

We can split this up into 3 shapes.

Using the attached image:

A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C  = 14 + 6 + 9 = 29

5 0
2 years ago
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