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Lina20 [59]
3 years ago
7

5 less than a number is equivalent to 1 more than three times the number

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer: The number is 1.

Step-by-step explanation:

Let the number be x

5-x = 1+3x

or, 5 = 1+3x+x

or, 5 = 1+4x

or, 5-1 = 4x

or, 4x = 4

or, x = 4/4

so, x = 1

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Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)
iris [78.8K]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (1, 6) and the slope m = 7/3. Substitute:

y-6=\dfrac{7}{3}(x-1)      <em>use distributive property</em>

y-6=\dfrac{7}{3}x-\dfrac{7}{3}          <em>add 6 to both sides</em>

y=\dfrac{7}{3}x+\dfrac{11}{3}        <em>multiply both sides by 3</em>

3y=7x+11           <em>subtract 7x from both sides</em>

-7x+3y=11         <em>change the signs</em>

7x-3y=-11

Answer:

point-slope form: y-6=\dfrac{7}{3}(x-1)

slope-intercept form: y=\dfrac{7}{3}x+\dfrac{11}{3}

standard form: 7x-3y=-11

5 0
3 years ago
Find the coordinates of the midpoint of the segment given its endpoints.
Vesna [10]

Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2} (x₁ + x₂ ) , \frac{1}{2} (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

midpoint = [ \frac{1}{2} (5 - 1), \frac{1}{2} (8 - 4 ) ] = (2, 2 )

6 0
3 years ago
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15x>200.  The minimum number of hours he must work to earn at least $200 is 14 hours.  Working 14 hours will allow him to receive $210.  This is the minimum number of hours he can work because if he works 13 hours instead, he will only make $195, which is less than 200.  15x>200 (15x is equal to or greater than 200) x=14.

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3 years ago
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The Color My Room painting company charges a fixed set-up fee of $20 per job and the $0.25 per square foot to paint. Let p repre
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Answer:

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