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miv72 [106K]
3 years ago
10

Bob bought a broken motor scooter, repaired it, and sold the scooter for $130. That was $50 less than 1.5 times what he paid for

it.
Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer: $120

Step-by-step explanation:

Assume the original price is x.

He sold the scooter for $130 and this was $50 less than 1.5 times what he paid for it.

Relevant formula is therefore:

1.5x - 50 = 130

1.5x = 130 + 50

x = 180/1.5

x = $120

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Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

6 0
3 years ago
The sum of 3 and a number is less than 5 times the number plus 2.
Leno4ka [110]

Answer:

3+x<5x+2

Step-by-step explanation:

the sum of the number 3+xis less than so 3+x<5×x+2

<em>so</em><em> </em><em>final</em><em> </em><em>ans</em><em> </em><em>is</em><em> </em><em><u>3</u></em><em><u>+</u></em><em><u>x</u></em><em><u><</u></em><em><u>5</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em>

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What is 2 over 3 + 4 over3
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3 years ago
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Given the formula, E = mgh + 1/2mv<img src="https://tex.z-dn.net/?f=%5E%7B2%7D" id="TexFormula1" title="^{2}" alt="^{2}" align="
vlabodo [156]
Answer:
4.5
Explanation:
I’ve attached my work below
Hope it helps, Let me know if you have any questions !

7 0
2 years ago
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
maxonik [38]
ANSWER

y + 5= - \frac{9}{11} (x-3)

or

y - 4= - \frac{9}{11} (x + 8)

EXPLANATION

We want to find the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4).

The point-slope form is given by;

y-y_1=m(x-x_1)

where

m = \frac{4 - - 5}{ - 8 - 3} = \frac{4 + 5}{ - 11} = - \frac{9}{11}

is the slope of the line.

If

(x_1,y_1)=(3,-5)

The point-slope form is

y + 5= - \frac{9}{11} (x-3)

On the other hand, if
(x_1,y_1)=( - 8,4)

Then the point-slope form is,

y - 4= - \frac{9}{11} (x + 8)

These two equations are the same when simplified.
4 0
3 years ago
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