The amount of blue color in the green paint is an illustration of ratios and proportions.
Cheryl's green paint has more blue color
The proportion of blue color is calculated as:
So, we have:
Express as percentage
Express as percentage
By comparison: 40% >37.5%
Hence, Cheryl's green paint has more blue color
Read more about proportions at:
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68 is the 22nd term of the following sequence.
<u>Step-by-step explanation:</u>
- The given sequence is with the same common difference between the two consecutive number in the series thus it is said to be the Arithmetic progression ( AP).
- For finding the nth term in the AP we have a formula tn = a + (n-1) × d
- Here a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series.
- Thus here tn = 5 + ( 22 - 1 ) × 3.
- On subtracting we get tn = 5 + (21 ) × 3
- On multiplying we get tn = 5 + 63
- After adding we get tn = 68. It is the 22nd term in the given series.
x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x = 
= 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x = 
= - 9
The equation in y=mx+b form is 1/4x-9.
