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alexandr402 [8]
3 years ago
6

I thought of a number, multiplied it by 2 1/2, divided the result by 1 1/5, subtracted 7/18 from it, and got 1 5/6. What was my

number?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0
1 and 1/15

Work backwards, so add 7/18 to 1 5/6 first (I'm gonna add them in improper fraction form to make it easier) and you get 40/18 which is 20/9
Then multiply by 1 1/5 (or 6/5) to get 120/45 which simplifies to 8/3
Then divide by 2 1/2, or 5/2, which means you multiply by the reciprocal (2/5)
8/3 times 2/5 equals 16/15 or 1 1/15
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What is 5X minus Y equals 6+ negative 2X plus Y=8
vova2212 [387]

Answer:

For the given expression: X = (\frac{10}{3})  , Y =  (\frac{26}{3})

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X  - Y  = 6 + (-2X) + Y  = 8

Now, considering first  and the last  terms,we get:

5 X - Y  = 8  .... (1)

and , considering second and the last  terms,we get:

6 + (-2X) + Y  = 8 or, -2X  + Y  = 2  ......... (2)

Adding (1) and (2) , we get:

5 X - Y  - 2 X  + Y  = 8 + 2

or, 3 X =  10

or, X = 10/3  = 3.34

Now, 5X - Y = 8

or, 5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8  = \frac{50 - 24}{3}  = \frac{26}{3} \\\implies Y = \frac{26}{3}

Hence, for the given expression:

X = (\frac{10}{3})  , Y =  (\frac{26}{3})

3 0
3 years ago
Consider the line 7x+9y=5
alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

Step-by-step explanation:

We know the slope-intercept form

y=mx+b

Here,

  • m is the slope
  • b is the y-intercept

Given the equation

7x+9y=5

simplifying to write in the lope-intercept form

y=-\frac{7}{9}x+\frac{5}{9}

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

  • We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

4 0
3 years ago
1.
givi [52]

43-7= 36

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