Answer:
5/9
Step-by-step explanation:
Let the denominator be x and numerator be y.
Given, numerator is 4 less than denominator
=> y = x - 4 ...(1)
When 5 is added to both:
Numerator = y + 5 , and, denominator = x + 5
Now their ratio is 5/7.
=> (y + 5)/(x + 5) = 5/7
=> 7(y + 5) = 5(x + 5)
=> 7y + 35 = 5x + 25
=> 7y - 5x = 25 - 35
=> 7(x - 4) - 5x = -10 {y=x-4}
=> 7x - 28 - 5x = -10
=> 2x = 18
=> x = 9
Thus,
Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9
Prime numbers from 1 to 50:
2, 3, 5, 7, 11, 13<span>, 17, 19, 23, 29, 31, </span>37,41<span>, </span>43<span>, </span><span>47</span>
The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
<h3>What is the equation of line?</h3>
The equation of the line is the way of representation of a line in the equation form.
The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
The formula to find equation of line is,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
Here, x and y are the coordinate and subscript (1,2) used for the first and second point.
The points from which the line passes through are (2,5) and (-2,-3). Put the values,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
(y-(-2))={(-3-5)/(-2-2)}(x-2)
y+2={-8/-4}(x-2)
y+2=2(x-2)
y+2=2x-4
y=2x-4-2
y=2x-6
Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
Learn more about the equation of line here;
brainly.com/question/13763238
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To solve this problem you must apply the proccedure shown below:
1. Yoy have that the <span>rectangular tank has the following dimensions:
Length=3 inches
Widht=4 inches
Height=5 inches
2. Then, its volume is:
V1=LxWxH
V1=3 inchesx4 inchesx5 inches
V=60 inches</span>³
3. The sides of the <span>solid metal cube are of 3 inches, therefore, its volume is:
V2=s</span>³
V2=(3 inches)³
V2=27 inches³
4. T<span>he volume, in cubic inches, of water that the tank can now hold is:
Vt=V1-V2
Vt=60 inches</span>³-27 inches³
Vt=33 inches³
Answer:
The number is log 47base9
