x + y = 4 x 2
4x - 2y = -2 x 1
2x + 2y = 8
$\frac{4x - 2y = -2}{6x = 6}$
x = 1
y = 3
$y - x : \frac{1}{3}y$ = 2:1
105 x 2 = 210
Percentage change = $\frac{105}{105} \times 100$ = 100%
raphael answered the question on January 16, 2017 at 10:12
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20 soldiers left for war and carried food that would last 7 days
(Solved)
20 soldiers left for war and took with them food that would last 7 days. After 4 days, 4 of the soldiers were recalled back to the headquarters. For how long did the remaining food last if the rate of consumption remained unchanged?
Date posted:
January 16, 2017
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Answers (1)
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Determine the change in the family's monthly expenditure on vegetables from the information given below
(Solved)
John's family spends Ksh. 2,700 per month on vegetables. Last month, the price of vegetables went up in the ratio $1\frac{1}{4}$:1. If the family decided to reduce the amount of vegetables consumed in the ratio $\frac{14}{15}$, determine the change in the family's monthly expenditure on vegetables.
Date posted:
January 16, 2017
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Answers (1)
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The perimeter of a rectangle is $4(2 + \sqrt{3}) \ cm$. One of its sides is $1 + \sqrt{3}$ cm long. Find the area of the rectangle.
(Solved)
Find the area of the rectangle if the perimeter of a rectangle is $4(2 + \sqrt{3}) \ cm$ and one of its sides is $1 + \sqrt{3}$ cm long.
Date posted:
January 16, 2017
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Answers (1)
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Without using mathematical tables or a calculator, find the exact value of
(Solved)
$\frac{28 \times 5.54 + 72 \times 5.54}{7.77^2 - 2.23^2}$
Date posted:
January 16, 2017
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Answers (1)
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Find the number of sides of the polygon
(Solved)
A polygon has (n - 1) sides. Two of its angles are right angles and each of the remaining angles is 144o. Find the number of sides of the polygon.
Date posted:
January 16, 2017
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Answers (1)
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Solve for x in the equation below
(Solved)
sin 3x - cos 3x = 0 for 0o$\le x \le $360o
Date posted:
January 16, 2017
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Answers (1)
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List the integers that satisfy the two inequalities below
(Solved)
$\frac{x}{2} - 1 \lt \frac{x}{5}, \frac{3}{8} + \frac{x}{3} \ge \frac{x}{4}$
Date posted:
January 16, 2017
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Answers (1)
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Given that sin(2x - 30)o = cos(3x - 50o), find the value of x
(Solved)
Find the value of x from the following:
sin(2x - 30)o = cos(3x - 50o)
Date posted:
January 16, 2017
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Answers (1)
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A vector A passes through the points A(7,9) and B(3,5)
(Solved)
A vector A passes through the points A(7,9) and B(3,5). Vector b passes through the points C(x, -2) and D(-5,0). If a is parallel to b, determine the value of x.
Date posted:
January 16, 2017
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Answers (1)
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Use mathematical tables to evaluate the following
(Solved)
$\frac{2}{(3.432)^{1/3}} + \frac{4}{\sqrt {0.0684}}$
Date posted:
January 16, 2017
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Answers (1)
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The coordinates of the points A and B are (2, 5, 4) and (2, 1, 8) respectively.
(Solved)
The coordinates of the points A and B are (2, 5, 4) and (2, 1, 8) respectively. In what ratio does the point C(2, 4, 5) divide AB?
Date posted:
January 14, 2017
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Answers (1)
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Find to 4 significant figures the percentage error in the area of the rectangle.
(Solved)
The length and width of a rectangle measured to the nearest millimeter are 7.8 cm and 4.7 cm respectively.
Find to 4 significant figures the percentage error in the area of the rectangle.
Date posted:
January 14, 2017
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Answers (1)
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Mutuku and Kamau live 40 km apart. Mutuku starts from his home and cycles towards Kamau's house at 16 km/h.
(Solved)
Mutuku and Kamau live 40 km apart. Mutuku starts from his home and cycles towards Kamau's house at 16 km/h. Kamau starts from his home at 8:00 am and cycles towards Mutuku. At what time do they meet?
Date posted:
January 9, 2017
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Answers (1)
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A water tank 5 m long has a cross-section area of 135 m2
(Solved)
a) Find the capacity of the water tank in litres
b) Water was allowed into the empty tank at 10.00 pm at a constant rate of 25 litres per second. What time will the tank be completely full? Give your answer in 24 hours system.
Date posted:
January 9, 2017
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Answers (1)
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Calculate the angle the line 2x - 4y = 1 makes with the x-axis.
(Solved)
Calculate the angle the line 2x - 4y = 1 makes with the x-axis.
Date posted:
January 9, 2017
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Answers (1)
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Find the value of x when y = 6
(Solved)
A quantity x varies partly as the cube of y and partly varies inversely as the square of y. When y = 2, x = 108 and when y = 3, x = 259. Find the value of x when y = 6.
Date posted:
January 6, 2017
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Answers (1)
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How long would five men working 4 hours a day take to dig a trench 45 m long?
(Solved)
Three men working for 8 hours a day take 6 days to dig a trench 9 m long. How long would five men working 4 hours a day take to dig a trench 45 m long?
Date posted:
January 6, 2017
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Answers (1)
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Expand the expression $(2 - \frac{1}{5}x)^4 $ upto the term x3
(Solved)
Expand the expression $(2 - \frac{1}{5}x)^4 $ upto the term x3 and use the expansion to find the value of 1.964
Date posted:
January 6, 2017
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Answers (1)
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Find the value of x in;
(Solved)
Log (x - 2) + Log (x + 1) = 1 + Log 4
Date posted:
December 24, 2016
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Answers (1)
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Evaluate the following leaving your answer in surd form
(Solved)
$\frac{3}{2\sqrt 5 - \sqrt 7} - \frac {2}{2\sqrt 5 + \sqrt 7}$
Date posted:
December 24, 2016
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Answers (1)