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sergejj [24]
3 years ago
9

The sum of three numbers is 107 . The first number is 8 less than the third . The second number is 3 times the third . What are

the numbers ?
Mathematics
2 answers:
tresset_1 [31]3 years ago
7 0
First number = x
Third number = x - 7
Second number = 2(x - 7)
x + 2(x - 7) + x - 7 = 107
x + 2x - 14 + x - 7 = 107
Collect like terms.
4x - 21 = 107
4x = 128
x = 32
First number = 32
Second number = 50
Third number = 25
Total = 107.
Elza [17]3 years ago
3 0

Answer:

(x - 8) + 3x + x = 107

x - 8 + 3x + x = 107

5x - 8 = 107

5x = 115

x = 23, SO...

The first number is 23-8, which is 15

The second number is 3 x 23, which is 69

The third number is 23

15 + 69 + 23 = 107 CHECK!

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

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To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line

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3 years ago
Rectangle A measures 9 in by 3 in rectangle b is a scaled copy of rectangle A select all of the measurent paris that could be th
Maksim231197 [3]

Answer:

the options are missing, so I looked for a similar question:

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A line includes the points (3, 9) and (2, 3). What is its equation in slope-intercept form? Write your answer using integers, pr
Sever21 [200]

Answer:

y  =  6x  -  9

Step-by-step explanation:

The slope-interce equation is;

y  = m*x  +  b       (1)

Where m is the slope, and b axis y intercept, to determine m, we use the coordinates of two different points.

m  = ( y₂ - y₁ ) / ( x₂  -  x₁ )

P ( 3 , 9 )     Q ( 2  ,  3 )

m  =  (  3  - 9 ) / ( 2  -  3 )  ⇒   m  = -6/ -1    m  = 6

If Q is a point in the line, then plugging values in equation (1)  of  Q ( 2  , 3) and m, we get

y  =  m*x + b   ⇒  3  =  6*(2) + b  ⇒  3  =  12  +  b

b = - 9

And the equation of the line is

y  =  6x  -  9

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