Question 1 : 8 pencils and 3 books cost N288 while 5 pencils and 2 books cost N184. what is the cost of pencil and books.

N24 and N32

N38 and N15

N15 and N27

N31 and N35

iddaniella
Jun 5, 2017

#1**+1 **

Question 1 : 8 pencils and 3 books cost N288 while 5 pencils and 2 books cost N184. what is the cost of pencil and books.

Let the price of a single pencil = P

Let the price of a single book =B

8P + 3B = 288, and

5P + 2B =184,

Solve the following system:

{3 B + 8 P = 288 | (equation 1)

2 B + 5 P = 184 | (equation 2)

Subtract 5/8 × (equation 1) from equation 2:

{8 P + 3 B = 288 | (equation 1)

0 P+B/8 = 4 | (equation 2)

Multiply equation 2 by 8:

{8 P + 3 B = 288 | (equation 1)

0 P+B = 32 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{8 P+0 B = 192 | (equation 1)

0 P+B = 32 | (equation 2)

Divide equation 1 by 8:

{P+0 B = 24 | (equation 1)

0 P+B = 32 | (equation 2)

Collect results:

Answer: | P = 24 and B = 32

Guest Jun 5, 2017

#2**0 **

Question 2 : The 9th term of an arithmetic sequence is 12 and the 17th term is 28, find the 4th term of the arithmetic sequence.

19.77

25.4

28.2

16.5

iddaniella
Jun 5, 2017

#3**+1 **

Question 2 : The 9th term of an arithmetic sequence is 12 and the 17th term is 28, find the 4th term of the arithmetic sequence.

28 = F + 16 d

12 = F + 8d subtract one from the other

16 = 8d

d =16/8 =2

12 =F + (2*8)

12 =F + 16

F =12 - 16

F = - 4 The first term

4th term =-4 + (3*2)

4th term =-4 + 6

4th term = 2

Guest Jun 5, 2017

#4**0 **

thanks so much

Question 3 : A survey conducted for 50 members of staff of Cadbury plc shows that 30 of them have degree while 35 possess H.N.D. if 8 of the employees possess neither of the certificate how many have both degree and H.N.D

23

16

24

18

Question 4 : Solve the simultaneous inequalities 6x - 2y ≥ 14 and 14x + 3y≤ 24 and determine the values of x and y.

x ≥ 1.96, y ≤ 1.12

x = 27, y= 16

x > 0, y < 1

x ≤ -1.96, y ≤ 1.12

Question 5 : Using factorization method solve for x, 5x²+ 12x +7 = 0

1∕2 or 5∕6

−2∕3 or 7∕9

−1 or −1⅖

4 or 5

Question 6 : If A= {3,5,7,9} B = {2,3,4,8,7,9} then AuB is

{1,2,3,5,7}

{2,3,4,5,7,8,9}

{1,2,3,5,6,8}

{2,3,3,4,,7,9}

Question 7 : The sum of eight times a number and 15 is less than thrice the same number minus 10, find the number.

x ≤ 5

x > 5

x < -5

x ≥ 5

Question 8 : Determine the value of x and y simultaneously given that x + y = 10 and xy = 21

x,y=[(11,7)(7,11)]

x,y=[(8,4)(4,8)]

x,y=[(3,7)(7,3)

x,y=[(7,4)(4,3)]

Question 9 : Given that A{prime number less than 20}, B {even numbers less than 15}, C {Multiples of 4 less than 15} then AuBnC is

{4,8,12}

{14,17,19}

{2,3,5,14}

{5,6,7,9}

Question 10 : The Cartesian graph below represent -4

y > -4

y ≤ 4

y ≥ -4

y = 4

Question 11 : The equilibrium conditions of two market ketu and mile12, where pₐ and pₑ what are the prices of beans and meat, given that 8pₐ - 3pₑ=7 and -pₐ+7pₑ=19,

7pₐ and 8pₑ

2pₐ and 3pₑ

2pₐ and 4pₑ

5pₐ and 10pₑ

Question 12 : Find the gradient of the line described by the given point. P(5,3) and Q(7,10)

7∕2

7∕8

⅚

2∕7

Question 13 : Find the sum of 28th term of the AP 3+10+17+-----

2450

2500

2830

2730

Question 14 : A proper subset is a set that has

All the element are not the same

All the element are the same

none

All the elements of a set in another set

Question 15 : Given Ƹ = {1,2,3,4,5,.6,7,8}, A= {1,2,4,8}, B= {1,3,5,7}, C = {2,4,6,8}, find AnB¹uC¹.

{3,5,7,}

{1,2,3,5,6,7,8}

{1,2,3,5,7,8}

{1,3,5,7,}

Question 16 : Find the value of K in the perfect square 12x² - 6x + K

12

6

2

4

Question 17 : Given equation 4x² - 7x + 9 = 0, find the value of x.

−2.1 or 0.34

2 or 3

3½ or −5½

2.1 or 3.2

Question 18 : The sum of twice a number and 5 is less than the sum of one-third of the number and 6, find the number.

x> - 3/5

x > 3/5

x < 3/5

x < -3/5

Question 19 : Find the quadratic equation whose root is −1/2 and −3/2.

3x² - 4x + 3

4x² - 4x - 3

8x² - 8x - 3

4x + 3 - 3

Question 20 : Given that the quantity demand of orange Qd = 40 - 5p, what quantity of orange is demanded if price is N5

8units

11units

7 units

15units

iddaniella
Jun 5, 2017