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olchik [2.2K]
3 years ago
10

Which variable would be easier to eliminate?

Mathematics
2 answers:
Nady [450]3 years ago
8 0

It's easier to eliminate x because when you add both equations -4x +4x would be zero

Yakvenalex [24]3 years ago
5 0
The easier variable to eliminate is x. Because -4x+4x will be equal to 0 .
After eliminating , the equation now is -9y=-10
and 2y=24
Thus, add the equation up combine like terms. Which now is -7y=14
y=-2

•since y=-2 , now find the x value just substitute y into one of the original equation, let’s substitute to -4x-9(-2)=-10
Solve: -4x+18=-10
Subtract 18 on both side, now : -4x=-28
Divide both side by -4 and x=7
So (x,y) = (7, -2) respectively
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A small deck of 5 cards consists of 3 red Jards and 2 green cards.
Simora [160]

Answer:

Approximately 0.19.

Step-by-step explanation:

The cards were drawn with replacement. Therefore, the probability of drawing a red card will be (3 / 5) at every one of the seven draws. The probability of not drawing a red card would be (1 - (3/5)) = (2/5).

One way to get three red cards out of the seven draws would be \verb!red!\; \verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!green!. That corresponds to a probability of (3/5)^3\, (2/5)^{7-3}.

However, there are many other ways to get three red cards during the seven draws. For example:

  • \verb!red!\; \verb!red!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green!,
  • \verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green!.
  • \cdots.
  • \verb!green!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!red!\; \verb!red!.

There are \displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} = 35 such ways in total to choose three draws out of seven draws.

These ways are mutually-exclusive. Each of these ways has a probability of (3/5)^3\, (2/5)^{7-3}. The probability for getting a red card on exactly three out of the seven draws would be:

\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} \, (3/5)^3\, (1 - (3/5))^{7-3} \approx 0.19.

5 0
3 years ago
On a given blueprint, 1 inch = 30 feet. If the dimensions of a meeting room on the blueprint are 1.5 inches x 1.25 inches, what
melamori03 [73]
Sounds simple to me but may be misleading, I can't see a trick.
I think all you do is multiply each by 30.

So answer is 45ft X 37.5ft

Hope it's correct. I'd appreciate if you could let me know. Thks..
6 0
3 years ago
Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
aleksandrvk [35]

Answer:

  • x = 2.41

Step-by-step explanation:

<u>Area formula:</u>

  • A = 1/2bh

<u>The height is:</u>

  • h = (x + 2)sin 45° = √2(x + 2)/2

<u>Substitute the area value an set an equation:</u>

  • 4√2 = (2x - 3)√2(x + 2)/2
  • (2x - 3)(x + 2) = 8
  • 2x² + x - 6 = 8
  • 2x² + x - 14 = 0
  • D = 1 + 4*2*14 = 113
  • x = (-1 + √113)/4 = 2.41 (rounded)    

Note. the second root ignored as negative

7 0
2 years ago
What is the smallest power of 10 that would exceed 999,999,999,991
bonufazy [111]
The fifth or sixth I'm not sure
4 0
3 years ago
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
Zanzabum

Answer

Assuming that the

mass of the smallest humming bird is = 4 g

Mass of the larger humming bird = 5 times mass of Bee hummingbird.

Mass of larger humming bird = 5 x 4 g

                                                = 20 g

Hence, mass of the larger humming bird is equal to 20g.

5 0
4 years ago
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