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Lana71 [14]
3 years ago
9

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the large number an

d 9. Which equations represent the situation?

Mathematics
2 answers:
Evgen [1.6K]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

Aleonysh [2.5K]3 years ago
5 0
<span>Let the larger number be x.

</span><span>A number, y, is equal to the difference of a larger number and 3.

y = x - 3

x - y = 3

</span>The same number is one-third of the sum of the large number and 9.

y = (1/3)(x + 9)

3y = x + 9

x - 3y = -9

The equations are:
x - y = 3
x - 3y = -9
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Given that P(A) = 0.5, P(B) = 0.2, and P(A and B) = 0.1, which best describes the relationship between events A and B?
lara31 [8.8K]

Answer: Events A and B are independent.

=============================================

Explanation:

Note how,

P(A)*P(B) = 0.5*0.2 = 0.1

which matches exactly with P(A and B) = 0.1

Therefore,

P(A and B) = P(A)*P(B)

is a true statement. This further leads to events A and B being independent.

4 0
3 years ago
Jack knows the surface area of a cylinder and its radius. He wants to find the cylinder's helght. He needs to rewrite the formul
DerKrebs [107]

Answer:

h= pi(r)2/A or h= 3.14 times 7 times 2 divided by A

Step-by-step explanation:

u need to do the opposite of multiplication which is division to find the height

hope this helps

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4 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
ArbitrLikvidat [17]

Answer:

9

Step-by-step explanation:

This means that 9/(9+72)=(3x-20)/(3x+36), or 1/9=(3x-20)/(3x+36). Cross-multiply to get that 27x-180=3x+36, so 24x=216, and x=9.

4 0
3 years ago
Please help me asap!!
Bess [88]

Answer:

x = 14

Step-by-step explanation:

The polygon given has 6 sides

Sum of interior angles of a 6-sided polygon = 180(n - 2)

substitute n = 6 into 180(n - 2)

Sum of the polygon = 180(6 - 2) = 720°

Thus:

10x + 8x - 16 + 12x - 8 + 7x + 2 + 9x + 4 + 6x + 10 = 720

Add like terms

52x - 8 = 720

52x = 720 + 8

52x = 728

x = 728/52

x = 14

3 0
3 years ago
The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,
ollegr [7]

Answer:

y =  - 4x - 42

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

- 3y + 4x = 9 \\ or \\  - 3y =  - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\  \: is \:  - 4

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

y = 6 \:  \:  \: x =  - 12 \:  \:  \: slope =  - 4

Therefore the equation of the line is:

y = mx + c \\  6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\  - 42 = c

y = mx + c \\ y =  - 4x - 42

3 0
2 years ago
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