77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.
Answer:
a. y = -3x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y-intercept (0, 5)
Point (1, 2)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
- Subtract:
- Divide:
<u>Step 3: Write Equation</u>
<em>Plug in variables into the general form.</em>
y = -3x + 5
Answer:
Bailey made a total of $145 on Thursday
Step-by-step explanation:
Step 1
Derive an expression for Bailey's total income on Thursday as follows;
A=F+(R×S)
where;
A=total income earned
F=fixed income per day
R=commission rate
S=total sales
In our case;
A=unknown
F=$90 per day
R=11%=11/100=0.11
S=$500
Step 2
Substitute the values and solve;
A=90+(11% of $500)
A=90+(0.11×500)
A=90+55=145
A=$145
Bailey made a total of $145 on Thursday
The correct answe to tht wits is my
