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kifflom [539]
2 years ago
14

The quotient of-54 and 9, subtracted from 8 times a number, is-18

Mathematics
1 answer:
AysviL [449]2 years ago
4 0
The number is:  " -3 " .
_____________________________________
Explanation:
_____________________________________
Let "x" be the "unknown number" for which we are to solve.

        8x − (-54/9) = -18 ;  Solve for "x" ; 

  →  8x  − (-6) = - 18 ;

  →  8x + 6 = - 18 ;

   Subtract "6" from each side of the equation:

  →  8x + 6 − 6  =  - 18 <span>− 6 ;

to get:   8x =  -24 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the equation ; & to solve for "x" ; 

              8x / 8 = -24 / 8 ;

to get:   x = -3 .
________________________________
The number is:  " -3 " .
________________________________</span>
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The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K
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Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

M(2, 1) = (x_1, y_1)

P(12, 6) = (x_2, y_2)

m = 3, n = 2

Plug in the necessary values to find the coordinates of K:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{3(12) + 2(2)}{3 + 2}

x = \frac{36 + 4}{5}

x = \frac{40}{5}

x = 8

y = \frac{my_2 + ny_1}{m + n}

y = \frac{3(6) + 2(1)}{3 + 2}

y = \frac{18 + 2}{5}

y = \frac{20}{5}

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The coordinates of K = (8, 4)

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3 years ago
What is the simplified form of the quantity of x plus 3, all over 4 + the quantity of x plus 2, all over 4 ? (2 points) the quan
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ANSWER

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EXPLANATION

We want to simplify

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The fractions have the same denominator so we write one denominator and add the numerators to obtain,

\frac{x + 3 + x + 2}{4}

Regroup in the denominator to get,

\frac{x + x + 3 + 2}{4}

This simplifies to;

\frac{2x + 5}{4}
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