Answer:
A) 
B) 
Step-by-step explanation:
To answer this question first we define what are rational numbers.
A rational number is a number that can be expressed in the form of a fraction 
, where x and y are integers and y ≠ 0.
a) 0.12345
This can be written in fraction form as
Now, we simplify this fraction to lowest form. Simplified form of the above fraction is . This simplified form was obtained by dividing both numerator an denominator by 5.
b) This number can be written in fraction form as
Now, we simplify this fraction.
The simplified form of the above fraction is as the numerator and denominator have no common factor.
Answer:
B
Step-by-step explanation:
The exponential function 
shows the exponential growth if 
Consider choice B.
If x=1, then 
if x=2, then 
if x=3, then 
if x=4, then 
This means that the function 
represents the table B.
420=7/6x
The 6, who was under / now goes across the equal sign with * value.
420*6 =7x
2520 = 7x
Now the 7, who is under * value, goes across the equal sign with / value, so
2520/7 = x
x= 360.
420-360 = 60
It earned $60 of interest.
Answer:
The size of angle AFE (or Angle F) is 162º.
Step-by-step explanation:
A hexagon's angles add up to 720º. Since there is one line of symmetry (straight down the middle), angle A is the same as angle B; 117º, also known as X. This means angle F is equal to angle C, and angle E is equal to angle D. <em>Angles A and B are to be represented by X. Angles F and C are to be represented by Y. Angles E and D are to be represented by Z.</em> We need to find the remaining sum of the unknown angles: 720 - (117 • 2) = 486º. In the given information, angles BCD (y) is equal to 2 • angle CDE (z). In other words, y = 2z. There are 2y; to convert 2y into z's, we multiply y's equal of z by 2 to get 4z. <u>2y = 4z.</u> Now we can write an equation to solve: (720 - 2x) ÷ (4z + 2z) = z. Where x is 117º. First we solve part 1:
720 - 2(117) = ?
720 - 234 = 486º
Rewrite the equation: 486 ÷ (4z + 2z) = z. That's not how I want to solve it, so I'm rewriting it again as 486 = 4z + 2z. Now to solve it:
Solve for z (Part 2):
486 = 4z + 2z
486 = 6z Combine like terms
----------------------------------------------------------------------
Long division:
<u>081</u>
6 |486
<u>- 0</u>↓
48
<u>- 48</u>↓
06
<u>- 6</u>
0
----------------------------------------------------------------------
<u>81 = z Divide both sides by 6</u>
<u />
Solve for y:
y = 2z
y = 2(81) Plug 81 in for z
<u>y = 162 </u>
Checking my work:
720 = 2x + 2y + 2z
720 = 2(117) + 2(162) + 2(81) 117 = x; 162 = y; 81 = z
720 = 234 + 324 + 162 Simplify
<u>720 = 720 Add</u>
<u />
Woop woop!! We're <em>almost</em> done!
Remember the question is asking us to "work out the size of angle AFE" (or angle F for short). Angle F is represented by y, so we simply look for where we solved for y and see that y(AFE) = 162.
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
