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yarga [219]
3 years ago
9

One more question...

Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0

Answer:

Step-by-step explanation:

relation

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Can someone help me on this. I'm really confused
umka21 [38]

Answer: I believe its 120

Step-by-step explanation:

5 0
2 years ago
8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal
Goshia [24]

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0
2 years ago
Which pair is made up of prime numbers 11 &amp; 33 , 42 &amp; 56 , 37 &amp; 67, 57 &amp; 97
Cerrena [4.2K]

Answer:

37 & 67

Step-by-step explanation:

11 & 33

  • 11 - 1, 11
  • 11 is prime
  • 33 - 1, 3, 11, 33
  • 33 is composite number
  • 11 & 33 is incorrect

42 & 56

  • 42 - 1, 2, 3, 6, 7, 14, 21, 42
  • 56 - 1, 2, 4, 7, 8, 14, 28, 56
  • Both 42 and 56 are composite numbers
  • 42 & 56 is incorrect

37 & 67

  • 37 - 1, 37
  • 67 - 1, 67
  • Both 37 and 67 are prime numbers
  • 37 & 56 is correct

57 & 97

  • 57 - 1, 3, 19, 57
  • 97 - 1, 97
  • 57 is a composite number, 97 is a prime number
  • 57 & 97 is incorrect
3 0
3 years ago
What is the minimum number of triangles required to construct a 10 sided polygon
kupik [55]

10 Triangles fit inside a Decagon

Hope it helps :)

5 0
3 years ago
A woman is randomly selected from the 18-24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally
dybincka [34]

Answer:

0.0274

Step-by-step explanation:

The mean is \mu =114.8 and the standard deviation is \sigma =13.1.

Calculate

Z=\dfrac{X-\mu}{\sigma}

for X=140:

Z=\dfrac{140-114.8}{13.1}\approx 1.9237.

If X\sim N(114.8,\ 13.1), then Z\sim N(0,1)

and

Pr(X>140)=Pr(Z>1.9237).

Use table for normal distribution probabilities to get that

Pr(Z>1.9237)=1-Pr(Z\le 1.9237)=1-0.9726=0.0274.

7 0
3 years ago
Read 2 more answers
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