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Len [333]
3 years ago
10

SOMEONE PLEASE HELP

Mathematics
2 answers:
laiz [17]3 years ago
6 0
The best answer the question above is D.

tamaranim1 [39]3 years ago
5 0

Answer:

(06.01)  ⇒ The answer is the listed number 4.

(06.03) ⇒ The answer is C

Step-by-step explanation:

Ok, for the (06.01) what we should do is clear the X so we can later on replace it.

(1)  x + 4y = -9

(2)   x = -9 -4y   (at this point we are moving the 4y to the other side of the equation and since its positive in one side, it goes to the other with a minus on it.)

(3) x = -4y - 9  (all we do here is rearrenge the factors on the right side)

Then we should replace the x in the second equation with (3)

(4)  2x + 5y = −6

(5)  2(−4y − 9) + 5y = −6

And we find the answer thats listed.

(06.03)

First we need to write the equation given.

(1)   \frac{1}{2}  x - 5 = \frac{1}{3} x + 6

Now we work with each side for separate. Since both sides are equal to eachother we can make them equal to y to both sides.  And we get this two equations

(2)   y = \frac{1}{2} x - 5

(3)   y = \frac{1}{3} x + 6\\

We multiply (2) for 2 in both sides of the equation, to remove the fraction. And we will multiply (3) for 3 in both sides of the equation, to remove the fraction.

And we have this new system of equations.

(4)  2y = x - 10

(5)  3y = x + 18

Now we need to rearrenge the factors, and we will move the x  to the left side in both equations, and since both are positive, they pass with a minus sign on it.

So we get.

2y − x = −10

3y − x = 18

Thus the answer is C.

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patriot [66]

Answer: 0.98630136986

Step-by-step explanation:

There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)

8 0
2 years ago
The area of a triangular block is 81 square inches. If the base of the triangle is twice the height, how long are the base and t
Gre4nikov [31]

Answer:

18 inches and 9 inches

Step-by-step explanation:

Given, The base of a triangle is twice of the height.

Area = 81 sq inches

Let, Base (b) = 2x

Height (h) = x

Area of the triangle = \frac{1}{2}bh

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or, x^{2} = 8

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5 0
2 years ago
It is given that A is directly proportional to r2 and r> 0. When r=5, A=75.
torisob [31]

Answer:

see explanation

Step-by-step explanation:

Given A is directly proportional to r² then the equation relating them is

A = kr² ← k is the constant of proportion

To find k use the condition when r = 5, A = 75 , then

75 = k × 5² = 25k ( divide both sides by 25 )

3 = k

A = 3r² ← equation of proportion

(a)

when r = 4, then

A = 3 × 4² = 3 × 16 = 48

(b)

when A = 147 , then

147 = 3r² ( divide both sides by 3 )

49 = r² ( take the square root of both sides )

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3 years ago
What is the slope of a line whose graph contains the points (−2,−6)<br><br> and (0,0)<br><br>?
torisob [31]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Find the y-intercept for the graph of the following equation. 6x + 9y = 18
DiKsa [7]
Recall that the y-intercept is when the function passes the y-axis. This happens when x=0. Therefore, we can find our y-intercept by plugging x=0 into our function and solving for y.

6x + 9y = 18
6(0) + 9y = 18
0 + 9y = 18
9y = 18
y =2

Thus, our y-intercept is when x = 0 and y = 2, or (0,2).
8 0
3 years ago
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