+46 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
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
+46 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
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
+46 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
