Answer:
1.
y+23=47
y+23-23=47-23
y=24
2.
0.25
in reduced fraction
0.25*100/100=25/100=¼
now in percent
¼*100=25%
3.
3[6 + 2(4 + 2) - 5] + 2²
Using BODMAS rule
3[6+2 of 6-5] +4
3[6+12-5]+4
3[18-5]+4
3 of 13+4
39+4
43
4.
[tex]\frac{x}{5} = \frac{60}{75}[/tex]
doing crisscross multiplication
x=[tex] \frac{60*5}{75}[/tex]
x=4
5.
- 3(8)(- 2)
=-3*8(-2)
=-24*-2
=+48
6.
120/- 6
= -20
7.
3x + 8 = 9x - 16
8+16=9x-3x
24=6x
x=24/6
x=4
8.
x/12 = - 6
doing crisscross multiplication
x=-12*6
x=-72
9. The area of a square is 64 square inches. How long is each side?
Solution:
Area of square =64 inches sqaure
length^2=64
Length =[tex] \sqrt{64}=8 [/tex] inches
each side is 8 inches long.
10. Solve for a.
a - 9 = - 27
a-9+9=-27+9
a= -18
11.
96 - (- 58)
96+58
154
12. What is the value of x?
7x = 98
7x/7=98/7
x=14
13.
[tex]\left[\begin{array}{ccc}9&-6\\-1&3\\\end{array}\right] -\left[\begin{array}{ccc}-3&-0\\-8&-4\\\end{array}\right] \\=\left[\begin{array}{ccc}{9+3} &{-6+0}\\{-1+8}&3+4\\\end{array}\right] \\\left[\begin{array}{ccc}12&-6\\7&7\\\end{array}\right][/tex]
14. Simplify
5(5a + 3b - 6c + 7) + 4(2a - 5c)
opening bracket
25a+15b-30c+35+8a-20c
25a+8a+15b-30c-20c+35
33a+15b-50c+35
15. A pair of shoes has an original price of $60. What is the sales price after 15 % discount?
Solution
we have
mark price =$60
discount =15%
Selling price =Mark price -discount% of Mark price
=60-15%*60
=$51
16.
46 + (- 29)
46-29
=17
17.
625,816+499,322
1,125,138
18. Find the area of this trapezoid.
we have
area of trapezoid =½*h*(a+b)
=½*7*(11+9)
=70 meter square
19. What is the value of x?
4x + 2x - 4 = 8
6x-4+4=8+4
6x=12
x=12/6
x=2
20.
0.008 * 0.906
=0.007248
Note : you got mistake in question no.16 and no. 13
