The difference between Palomas and Antons' points on the English test is of 14 points.
<h3>What is Ratio ?</h3>
When two numbers can be written in the form as p:q , they are said to be in Ratio.
It is given that
The ratio of Michaels point to Paloma point is 12 :11
The ratio of Michaels point to Anton's Point is 4:3
Let Paloma's point be x
then Michaels point will be 12x/11
and Anton's points will be
(12x/11 ) / Anton's points = 4 /3
Anton's points = 9x/11
It is given that the sum of the points of the three students is 224
so
x + (12x/11)+ (9x/11) = 224
32x /11 = 224
x = 77
Paloma's points = 77
Anton's Points = 9x/11 = 63
The difference between Palomas and Antons' points on the English test
=77 -63
= 14 points.
To know more about Ratio
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Vertex form; y = 5(x - 3)² - 85
x-intercept; (3, +√17, 0) , (3 -√17, 0)
y-intercept; (0, -40)
minimum value at -85
range; [-85, ∞), {y|y ≥ -85}
hope this helps, God bless!
Answer: 56 meters long and 49 meters wide
Step-by-step explanation:
Convert 350% to a decimal. 350% is 3.5. Each lenth is 3.5x larger than the original pond.
16*(3.5) =56 meters length
14*(3.5) = 49 meters width
56 meters long and 49 meters wide
Let width be W
Then length = 5W
P=2L+2W
P< 96cm
Then the Perimeter of the rectangle is equal to
(2L+2W)< 96
2*(5W)+2W)≤96
Therefore, 2w+2⋅(5w)≤96
should be your answer
Step-by-step explanation:
