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OleMash [197]
4 years ago
7

if 1 added to the numerator of fraction it becomes 1/2 and if one subtracted from the denominator it becomes 1/3 then the fracti

on is....?​
Mathematics
1 answer:
jarptica [38.1K]4 years ago
7 0

Answer:

1/4

Step-by-step explanation:

Let the fraction be x/y

(x + 1)/y = 1/2

x/(y - 1) = 1/3          Cross multiply both equations.

====================

2*(x + 1) = y           Remove the brackets

2x + 2 = y

################

3x = y - 1               Add 1 to both sides.

3x + 1=y - 1+ 1

3x + 1 = y

#################

Equate both ys

3x + 1 = 2x + 2        Subtract 1 from both sides.

3x + 1-1 = 2x + 2 -1

3x = 2x + 1              Subtract 2x from both sides.

3x-2x = 2x-2x +1    Simplify

x = 1

==================

y = 3x + 1

y = 3(1) + 1

y = 3 + 1

y = 4

The original fraction was 1/4

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Does 1000 mm go into 100 cm​
Ksju [112]

Answer:

\huge\boxed{1,000mm=100cm}

Step-by-step explanation:

1km=1,000m=10,000dm=100,000cm=1,000,000mm\\1m=10dm=100cm=1,000mm\\1dm=10cm=100mm\\1cm=10mm\\\\1cm=10mm\to100cm=(100)(10mm)=1,000mm

3 0
3 years ago
Read 2 more answers
During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial
kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

f(x) = -12x^2 + 60x + 5 ....(1)

(a) For maximum height, put \dfrac{df(x)}{dt}=0

So,

\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60

Now put,

-24x+60=0\\\\x=2.5\ s

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

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8 0
3 years ago
HELP ME PLEASEE real quick just answer
nordsb [41]
B 1/2 because there is a 6/12 chance simpllify that and it's 1/2
6 0
3 years ago
James has noticed that the number of new tree branches that have grown on a tree in his backyard each year follows the sequence
eduard

Notice that the pattern is "previous term plus 2".  This is an arithmetic sequence where the difference (d) equals +2

a_{n} = a₁ + d(n - 1)   ; where a₁ is the first term, d is the difference, and n is the term.

f(n) = 1 + 2(n - 1)

f(n) = 1 + 2n - 2

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********************************

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7 0
3 years ago
Which values of m and b will create a system of equations with no solution? choose 1 options.
hichkok12 [17]

Answer:

The graph of a linear equation is a straight line.  The "solution" to a system of two linear equations is the point where the two lines cross.  If the two lines are parallel, they never cross; hence parallel lines have no solution.  Two lines are parallel if they have the same slope (the m value in y = mx+b).  One of your equations is y = -2x + (you left the y-intercept out).  The slope is -2.  So any line with a slope of m = -2 will be parallel to this line and will not cross it.  The second line also needs a different value of b, the y-intercept.  Otherwise it is the same line and every point is a solution.  So if your equation is:

 

y = -2x + 1

 

Then any equation of the form y = -2x + b, b≠1 will create a system with no solution.  Hence the values of m and b are m = -2, b ≠ 1.

5 0
2 years ago
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