Answer:
is the answer.
In decimal y = 43.71
Step-by-step explanation:
Given:
y varies directly with x .
Also x = 7 when y = 18
To Find:
y = ? when x = 17
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ 
Where
k = constant of proportionality {Remain Same}
First we will find constant of proportionality k,
∴ When x = 7 and y = 18 we have
∴ 
Now when x= 17 and 
we have
∴
∴ 
Answer:14%
Step-by-step explanation:
final grade score=a
20% of a=15
20/100 x a=15
20a/100=15
Cross multiply
20a=15 x 100
20a=1500
Divide both sides by 20
20a/20=1500/20
a=75
B% of 75=10.5
B/100 x 75=10.5
75B/100=10.5
Cross multiply
75B=10.5 x 100
75B=1050
Divide both sides by 75
75B/75=1050/75
B=14
Answer:
Step-by-step explanation:
Subtract 57 from both sides:
Divide both sides by 4:
If you cut a diagonal line across a square, both sides look equal. A rhombus also looks equal and so does a rectangle. However when you look at trapezoid, it has shorter top and a larger bottom. Cut that in half diagonally and you can see that one half would be smaller than the other.
Given that
log (x+y)/5 =( 1/2) {log x+logy}
We know that
log a+ log b = log ab
⇛log (x+y)/5 =( 1/2) log(xy)
We know that log a^m = m log a
⇛log (x+y)/5 = log (xy)^1/2
⇛log (x+y)/5 = log√(xy)
⇛(x+y)/5 = √(xy)
On squaring both sides then
⇛{ (x+y)/5}^2 = {√(xy)}^2
⇛(x+y)^2/5^2 = xy
⇛(x^2+y^2+2xy)/25 = xy
⇛x^2+y^2+2xy = 25xy
⇛x^2+y^2 = 25xy-2xy
⇛x^2+y^2 = 23xy
⇛( x^2+y^2)/xy = 23
⇛(x^2/xy) +(y^2/xy) = 23
⇛{(x×x)/xy} +{(y×y)/xy} = 23
⇛(x/y)+(y/x) = 23
Therefore, (x/y)+(y/x) = 23
Hence, the value of (x/y)+(y/x) is 23.
