If the 20 fl.oz bottle contains 125% of the next smallest size, the next smallest bottle should be 4/5 of the 20fl. oz bottle.
That means the smaller bottle has 16 fl. oz (you can check it, multiply 16 by 1.25 and you get 20).
Next, you can find the price as dollars per fluid ounce.
The bigger bottle will be: 5.8/20=$0.29
The smaller bottle: 5.12/16=$0.32
In this case, the larger bottle is the better buy because you pay less per fluid ounce of lotion.
Function...
Domain:9,8,7,-5
Range:1,-3,5,3
We have been given two similar triangles. We are asked to find the length of segment EF.
We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.
Upon substituting measure of our given side lengths, we will get:
Therefore, the length of segment EF is 
units.
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>❤
