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Sonbull [250]
2 years ago
8

triple one number added to another number is 22. if the second number is equal to 8 less than 2 times the first number, find the

two numbers
Mathematics
1 answer:
Scrat [10]2 years ago
4 0

Answer:

  • 6 and 4

Step-by-step explanation:

Let the numbers are x and y.

<u>Given:</u>

  • 3x + y = 22
  • y = 2x - 8

<u>Solve by substitution:</u>

  • 3x + 2x - 8 = 22
  • 5x = 22 + 8
  • 5x = 30
  • x = 6

<u>Find y:</u>

  • y = 2*6 - 8 = 12 - 8 = 4
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Can a triangle be drawn with the following angle measures? Why or why not?<br> 50°, 70°, 70°
Viefleur [7K]

no, the 3 angles of a triangle need to equal 180 degrees

70 +70 +50 = 190 degrees so it cant be a triangle.

4 0
3 years ago
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A negative number is. A positive number
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" The opposite of " could be the answer
6 0
3 years ago
Consider M, N, and P. collinear points on MP.
Kobotan [32]

Answer:

See explanation

Step-by-step explanation:

There are three possible cases:

1. Point N lies between M and P, then MN + NP = MP. Consider needed difference:

\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MN}{NP}-\dfrac{MN}{MN+NP}=\dfrac{MN(MN+NP)-MN\cdot NP}{NP(MN+NP)}=\\ \\=\dfrac{MN^2+MN\cdot NP-MN\cdot NP}{NP(MN+NP)}=\dfrac{MN^2}{NP(MN+NP)}

2. Point N lies to the right from point P, then MP + PN = MN.  Consider needed difference:

\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MP+PN}{NP}-\dfrac{MP+PN}{MP}=\dfrac{MP}{NP}+1-1-\dfrac{NP}{MP}=\dfrac{MP^2-NP^2}{NP\cdot MP}

3. Point N lies to the left from point M, then NM + MP = NP. Consider needed difference:

\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MN}{MN+MP}-\dfrac{MN}{MP}=\dfrac{MN\cdot MP-MN(MN+MP)}{MP(MN+MP)}=\\ \\=\dfrac{MN\cdot MP-MN^2-MN\cdot MP}{MP(MN+MP)}=\dfrac{-MN^2}{MP(MN+MP)}

3 0
3 years ago
Plzzz help asap this is due and plz tell me why and how to do this
Ilia_Sergeevich [38]
F - Irrational, -13.8
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6 0
3 years ago
Karen, James, Frank, and Dan were left an inheritance by their late grandfather. If Karen receives one-eighth of the inheritance
pashok25 [27]

Count what fraction receive Karen, James and Frank in total:

since

Karen receives - \frac{1}{8},

James receives - \frac{1}{4}=\frac{2}{8},

Frank receives - \frac{3}{8},

then \frac{1}{8} +\frac{2}{8} +\frac{3}{8} =\frac{1+2+3}{8}=\frac{6}{8} =\frac{2\cdot 3}{2\cdot 4} =\frac{3}{4}.

All inheritance is the whole 1, then for Dan remains 1-\frac{3}{4} =\frac{4}{4} -\frac{3}{4} =\frac{4-3}{4} =\frac{1}{4}.

Answer: Dan receives one quarter of the inheritance.

4 0
3 years ago
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