9/10 = 36/40
9/10 x 4/4 = 36/40
Answer:
Your answer is not there.... but my answer is... so, check it put...
Step-by-step explanation:
P is the principal amount, $400.00.
r is the interest rate, 7.5% per year, or in decimal form, 7.5/100=0.075.
t is the time involved, 6 month period(s) time periods.
To find the simple interest, we multiply 400 × 0.075 × 3 to get that:
The interest is: $90.00
Answer:
16.2 foot shadow
Step-by-step explanation:
Let the shadow cast by 27 foot tree be x.
Using ratio and proportions,
18 / 30 = x / 27
(18 x 27) / 30 = x
x = 486 / 30
x = 16.2
Answer:
Step-by-step explanation:
Given that there are three variables satisfying the equation
Here each x is given to be a positive integer
i.e. solution set for each of the variable can be any integer from 1 to 20 at most.(because if two other integers are 1 each third has to be 20)
Hence solution set can be of the form
If x1 =1, there are 20 solution sets
If x1 =2,there are 19
...
If x1 =20 there is 1 set
Hence total solutions can be
Ans:8x-3y=27
Step-by-step explanation:
let,A,B be the line which have points (3,-1),(6,7)
here,
(3,-1)=(x1,y1)
(6,7)=(x2,y2)
then,
slope of line AB =(y2-y1/x2-x1)
=(7+1/6-3)
=8/3
Now,
equation of the line AB,
(y-y1)=m(x-x1)
(y+1)=8/3(x-3)
3y+3=8x-24
-8x+3y=-24-3
-8x+3y=-27
-(8x-3y=27)
8x-3y=27
Hence, the equation of the line through the points (3,-1) ,(6,7) is 8x-3y=27.
