in a rational no. twice the numerator is 2 more than the denominator. if 3 is added to each, the numerator or the denominator, the new fraction is 2/3. find the original no.

Answers

Answer 1

Answer: $(x)/(y)- rational\ number\n\n2x-2=y\n\n (x)/(2x-2)- rational \ number\n\n (x+3)/(2x-2+3)=(2)/(3)\n\nCross\ multiplication\n\n3(x+3)=2(2x-2+3)\n\n3x+9=2(2x+1)\n\n3x+9=4x+2\n\n3x-4x=2-9\n\n-x=-7\ |*(-1)\n\nx=7\n\nOriginal \ number\ is\ (7)/(2*7-2)=(7)/(12)$

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An albatross is a large bird that can fly 600 kilometers in 15 hours at a constant speed. Using LaTeX: dd for distance in kilometers and LaTeX: tt for number of hours, an equation that represents this situation is LaTeX: d=40td = 40 t . What are two constants of proportionality for the relationship between distance in kilometers and number of hours?

Answers

Answer:

The constant is 40

Step-by-step explanation:

According to the question we are given an equation that represents the given situation as d = 40t where;

d is the distance in km

t is the time in seconds.

The given function is a direct proportionality. For example if p is directly proportional to q, this is expressed as p ∝ q where ∝ is the proportionality sign. In order to remove the sign we will introduce a constant say "k". The equation will become;

p = kq (p and q are the variables)

A direct proportionality means that as a variable is increasing, the other is increasing and vice versa. Comparing p = kq with d = 40t, we can see that k is equal to 40 and d is directly proportional to t

Hence the constants of proportionality for the relationship between distance in kilometers and number of hours is 40 on comparing.

An example of a plane geometric surface is the A. side of a cylinder.
B. surface of a sphere.
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Answers

In geometry, a plane is a flat surface without thickness. It only has a length and a width or an x and a y.

An example of a plane geometric surface is the D.Side of a box.

Side of a cylinder, surface of a sphere, side of a cone are not examples of a plane geometric surface. These sides are round and not flat.

What is the slope of a line that passes through the points (-1,4) and (0,2)

Answers

Answer:

-2

Step-by-step explanation:

Y2-y1 over x2-x1

2-4/0+1= -2

Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.

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Answer:

x times 8 I'm pretty sure

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Answers

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100 .

The factors of 65 are 1, 5, 13, and 65 .

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70 .

Factors of a number are those numbers which divide a number without leaving any remainder
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The factors of 70 are 1,2,5,7,10,14,35,70 since all of them can divide 70 without leaving any remainder
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