Question

Whoever helps me is my saviour! I need this in by tomorrow!

Answer 1

Answer:

1) $\frac{7}{8}+\frac{2}{5}=\frac{7\times5+2\times8}{40}=\frac{35+16}{40}=\frac{51}{40}$.

2) $2\frac{1}{3}\times \frac{1}{4}=\frac{7}{3}\times\frac{1}{4}=\frac{7}{12}$

hence, answer is 7/12.

3) We have to divide £72 in the ratio 2:3:1

the total of the ratio is=2+3+1=6

so on dividing 72 into 6 parts we have 72/6=12

First '2' parts=2×12=24

second '3' part=3×12=36

last '1' part=1×12=12

so dividing £72 in the ratio 2:3:1 is: £24,£36 and £12

4) 39 people out of 65 have blonde hair.

Number of people who do not have blonde hair=65-39=26

percentage people who do not have blonde hair is given by:

$=\frac{26}{65}\times100\\ \\=40%$

Hence, percentage people who do not have blonde hair is 40%

5) 20% of 90= (20/100)×90

                       =18

Hence, 20% of 90 is 18.

6) Factorise

  $2x^2+18x^3=2x^2(1+9x)\\\\2x^2+18x^3=18x^2(x+\frac{1}{9})$

7) Expand

$(y-8)(y-6)=y(y-8)-6(y-8)=y^2-8y-6y+48\\\\(y-8)(y-6)=y^2-14y+48$

8)

$x^2+4x+3=x^2+x+3x+3=x(x+1)+3(x+1)=(x+3)(x+1)$.

9)

$y^{0}=1$

10)

$0.0342=3.42\times10^{-2}$

11) x= -4 y=3

and z=4 x-y^3

z=4×(-4)-3^3

z= -43

12) $y+2x=x-2\\\\2x-x=-y-2\\\\x=-y-2$

13) $8-7x=22\\\\7x=8-22\\\\7x=-14\\\\x=-2$

Hence x= -2

14) 5,10,15,20,....$a_{1}=5=5\times1 , a_{2}=10=5\times2 , a_{3}=15=5\times3,........,a_{n}=5n=5\timesn$

Hence,  nth term is 5n.

15) (63×128)/32.9=245.106.

16) 938×21=19698.

Answer 2

1. 1 11/40
2. 1/3
3. ?
4. 35%
5. 450
6. (x+6)(x+3)
7. ?
8. (x+3)(x+1)
9. 1
10. ?
11. 43
12. ?
13. x=-14
14. ?
15. 244.4
16. 19698