Get premium membership and access questions with answers, video lessons as well as revision papers.
Solve the simultaneous equation
xy=160
Log x- 3log y=1
Ans
Log x- 3log y=1~ log(x /y^3)=1
Hence, x/y^3=10
x=10y^3
Substituting x in equation 1, we have
10 y^3 ×y=160
10y^4=160
y^4=16=2^4
y=2
But, x=10y^3=10(2)^3
Hence x=80
y=2
x=80
Aeren answered the question on July 3, 2018 at 06:59
- If for a random variable x, the E(x) is given as 0.24Find E(2x+3)(Solved)
If for a random variable x, the E(x) is given as 0.24 Find E(2x+3)
Date posted: June 25, 2018. Answers (1)
- Convert the polar point (2,p/3) into Cartesian coordinate(Solved)
Convert the polar point (2,p/3) into Cartesian coordinate.
Date posted: June 25, 2018. Answers (1)
- Peter owns a small farm and grows mangoes and pineapples.After one harvest she increased her mango supply by 50% but also sold half of her pineapples.Given...(Solved)
Peter owns a small farm and grows mangoes and pineapples.After one harvest she increased her mango supply by 50% but also sold half of her pineapples.Given that she has a net loss of 10 fruits after the harvest and that she has the same number of mangoes as pineapples after the harvest,how much fruit did she initially have?
Date posted: May 31, 2018. Answers (1)
- A box contains 6 blue plates and 4 yellow plates, 2 plates are picked from the box one after the other without replacement a) Draw the probability...(Solved)
A box contains 6 blue plates and 4 yellow plates, 2 plates are picked from the box one after the other without replacement
a) Draw the probability tree?
b) what is the probability of picking :
1)the first plate blue and the second plate yellow
2)both plates yellow
3)1 blue plate and one yellow plate
4)2 plates of the same color.
5)At least 1 blue plate.
Date posted: May 12, 2018. Answers (1)
- State and briefly describe five methods of probability sampling.(Solved)
State and briefly describe five methods of probability sampling.
Date posted: April 27, 2018. Answers (1)
- State the steps involved in solving linear problems using the graphical method.(Solved)
State the steps involved in solving linear problems using the graphical method.
Date posted: April 27, 2018. Answers (1)
- State the first law of probability(Solved)
State the first law of probability
Date posted: April 27, 2018. Answers (1)
- A line passes through (-2,5) and has a gradient of - 3/4. Another line Q is directly perpendicular to P and meets it at a...(Solved)
A line passes through (-2,5) and has a gradient of - 3/4. Another line Q is directly perpendicular to P and meets it at a point where Y=1/2. Find equation of Q.
Date posted: April 27, 2018. Answers (1)
- The sum of an interior angle of two regular polygons of sides n and n+2 are in the ratio 3:4.calculate the sum of interior angles of...(Solved)
The sum of an interior angle of two regular polygons of sides n and n+2 are in the ratio 3:4. Calculate the sum of interior angles of the polygons with n sides.
Date posted: April 25, 2018. Answers (1)
- Find the value of p that the quadratic expression x^2-3x+p=0 have one real root(Solved)
Find the value of p that the quadratic expression x^2-3x+p=0 have one real root.
Date posted: April 18, 2018. Answers (1)
- Two similar cans have different heights 8cm and the other one 10cm.If the surface area of the larger can is 480cm2,find the surface area of...(Solved)
Two similar cans have different heights 8cm and the other one 10cm.If the surface area of the larger can is 480cm2,find the surface area of the smaller can.
Date posted: April 17, 2018. Answers (1)
- Solve: (a) (2*)3 = 21 2 (b) (43 ) x = 64(Solved)
Solve: (a) (2*)3 = 21 2 (b) (43 ) x = 64
Date posted: April 13, 2018. Answers (1)
- Evaluate: (a) 26 x 24 (b) 31 0 + 34 (c) (52 ) 3(Solved)
Evaluate: (a) 26 x 24 (b) 31 0 + 34 (c) (52 ) 3
Date posted: April 13, 2018. Answers (1)
- Use tables to find the cube of each of the following: (a) 1.8 (b) 2.12 (c) 3.254 (d) 0.76(Solved)
Use tables to find the cube of each of the following:
(a) 1.8 (b) 2.12 (c) 3.254 (d) 0.76
Date posted: April 13, 2018. Answers (1)
- Find the cube of 1.4.(Solved)
Find the cube of 1.4.
Date posted: April 13, 2018. Answers (1)
- What is the cube of 5?(Solved)
What is the cube of 5?
Date posted: April 13, 2018. Answers (1)
- Evaluate
Sin60 cos30 ÷ tan30 sin45(Solved)
Evaluate
Sin60 cos30 ÷ tan30 sin45
Date posted: April 11, 2018. Answers (1)
- The sum of two numbers x and y is 40. Write down an expression in terms of x for the sum of the squares of the two numbers(Solved)
The sum of two numbers x and y is 40. Write down an expression in terms of x for the sum of the squares of the two numbers.
Date posted: April 11, 2018. Answers (1)
- The volumes of 2 similar solid cones are 1080 cubic centimeters and 1715 cubic centimeters. If the curved surface area of the smaller cone...(Solved)
The volumes of 2 similar solid cones are 1080 cubic centimeters and 1715 cubic centimeters. If the curved surface area of the smaller cone is 840 square centimeters, find the curved surface area of the larger cone.
Date posted: April 9, 2018. Answers (1)
- A square room is covered by a number of whole rectangular slabs of side 60 by 42 cm. Calculate the least possible area(Solved)
A square room is covered by a number of whole rectangular slabs of side 60 by 42 cm. Calculate the least possible area.
Date posted: April 3, 2018. Answers (1)