I hope this will help you.
<u>Answers </u>
Part 1 = 2/9
Part 2 =5/9
Part 3 =7/9
<u>Explanation</u>
To convert the a repeating decimals this are the steps;
Part 1
Let x = 0.222222... (i)
10x = 2.222222... (ii)
Subtract equation (i) from equation(ii)
10x = 2.222222....
<u> -x = 0.222222....</u>
9x = 2.00000..
∴ 9x = 2
Divide by 9 both sides;
x = 2/9
Part 2
Let x = 0.5555...
10x = 5.5555...
subtract equation (i) from equation (ii).
10x = 5.5555..
<u> - x = 0.5555..</u>
9x = 5.0000..
∴ 9x = 5
x = 5/9
Part 3
Let x = 0.7777....
10x = 7.7777...
Subtracting equation (i) from equation (ii)
10x = 7.7777...
<u> -x = 0.7777...</u>
9x = 7.000..
∴ 9x = 7
x = 7/9
Pattern noted
When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.
Your answer would be 9 :$
(–8) • (6) – (5) • (–2)
= (-8*6)-(5*-2)
= (-48)-(-10)
= -48+10
= -38
(–4) • (9) – (5) • (–2)
= (-4*9)-(5*-2)
= (-36)-(-10)
= -36+10
= -26
Evaluate 3(a – 4b) when a = –2 and b = 5.
= 3[-2 - 4(5)]
= 3[-2 -20]
= 3(-22)
= -66
Evaluate 4(a – 3b) when a = –4 and b = 6.
= 4[-4 - 3(6)]
= 4[-4 -18]
= 4(-22)
= -88
Evaluate 5(a – 2b) when a = –3 and b = 5.
= 5[-3 - 2(5)]
= 5(-3 - 10)
= 5(-13)
= -65
Step-by-step explanation:
We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!
