Answer:
y = -x/3 + 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: x + 3y = 18
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract <em>x</em> on both sides: 3y = -x + 18
- Divide 3 on both sides: y = -x/3 + 6
1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18...
2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9.
1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6.
Put it together and TA-DA... Your answer is 1/18
Answer:
B
Step-by-step explanation:
Note:
1 gal = 4 quarts
1 pint = 0.5 quart
Re-writing all the choices in dollars and quarts and calculating how much each quart costs
A) $1 per 1 quart
B) $2 per gallon = $2 per 4 quarts = $2 ÷ 4 quarts = $0.50 per quart
C) $1.50 per 2 quarts = $1.50 ÷ 2 quarts = $0.75 per quart
D) $0.50 per 1 pint = $0.50 per 0.5 quart = $0.50 ÷ 0.5 quart = $1 per quart
If you compare all of the above, it is clear that answer B ($0.50 per quart) is the cheapest rate and hence the best deal.
Answer:
it's 22 I hope you got it right if not then i'm sorry
Part (a)
<h3>Answer: 0.2</h3>
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Work Shown
It costs $15 to rent a bike for 3 hours. We can write the following ratio below
15 dollars : 3 hours
To represent the connection of the two concepts (dollars connecting with hours)
We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".
Divide both sides of the ratio by 15 to achieve this goal.
15 dollars : 3 hours
15/15 dollars : 3/15 hours
1 dollar : 1/5 hours
1 dollar : 0.2 hours
0.2 hours : 1 dollar
So we get 0.2 hours per dollar.
As a side note, 0.2 hours = 0.2*60 = 12 minutes.
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Part (b)
<h3>Answer: 3.38</h3>
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Work Shown
27 pages : 8 minutes
27/8 pages : 8/8 minutes
3.375 pages : 1 minute
3.38 pages : 1 minute
I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.
