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k0ka [10]
3 years ago
14

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 4x + 8y = 16 4x - 8y = 0 A. (4, 2)

B. (2, 4) C. (2, 1) D. (4, 0)
Mathematics
1 answer:
balu736 [363]3 years ago
7 0
Adding both equations cancels y:

<span>4x + 8y = 16 
</span><span>4x - 8y = 0 
-----------------+
8x = 16 => x=2

filling in x=2 in the first equation gives:

4*2 + 8y = 16 => 8y = 8 => y=1

So (2,1) is the (x,y) pair that solves the two equations. Answer C.</span>
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Ryan owns 3/8 of a florist shop worth 76,000. what is value of ryan's share of the business ?
Roman55 [17]
To find 3/8 of 76,000, multiply the two numbers.

3/8*76000/1= 228000/8

228000/8= 28500

Final answer: $28,500
7 0
3 years ago
In a test of a printed circuit board using a random test pattern, an array of 14 bits is equally likely to be 0 or 1. Assume the
denis-greek [22]

Answer:

The probability that all 14 bits are 1s = 0.000061

Step-by-step explanation:

Probability that a bit is 1 is p = 0.5

Probability that a bit isn't 1 is q = 1 - 0.5 = 0.5

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 14

x = Number of successes required = 14

p = probability of success = 0.5

q = probability of failure = 0.5

P(X = 14) = ¹⁴C₁₄ (0.5)¹⁴ (0.5)¹⁴⁻¹⁴

P(X = 14) = ¹⁴C₁₄ (0.5)¹⁴ (0.5)⁰

P(X = 14) = 1 (0.000061)(1) = 0.000061

5 0
3 years ago
Plz help, no games its already overdue and has to get done!
Finger [1]

1: True

2: True

3: False

4: True

8 0
4 years ago
Read 2 more answers
How would I find the surface area of the cone in terms of pi? It has a radius of 7 cm and a slant height of 19 cm.
julsineya [31]
The formula is SA = \pi r^{2} + \pi rl.  r is the radius and l is the slant height.  In your case it would be 49\pi + 133\pi = 172\pi.
6 0
3 years ago
Read 2 more answers
Which of the following represents, the difference of a number squared and four is less than or equal to five.
LekaFEV [45]

Answer:

x² - (4 ≤ 5)

Step-by-step explanation:

(I have x representing the number that is squared, it might be a different letter on your options, but regardless it will be the same general answer. You also may not need the parentheses around the 4 ≤ 5)

Difference means subtraction so we know that the second number/group of numbers will be subtracted from the first that is listed.

Next, if you are squaring any number it's going to have the little 2 to the right of it. That's what that means.

Then, we look at that last bit. <em>"Four is less than or equal to five."</em> This means exactly how it sounds. To write this we need the symbol ≤. This symbol means less than or equal to. You would would but the 4 in front and the 5 in back to get 4 ≤ 5.

Now we just put it together. It tells us that 4 ≤ 5 is being subtracted from a number squared. So this means that a number squared needs to be first, and because difference means subtraction, we would subtract 4 ≤ 5 from that. A number squared can be represented by any letter variable, but for this example, I will use x.

This leaves you with x² - (4 ≤ 5)

I hope this helped :)

8 0
3 years ago
Read 2 more answers
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