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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Answer:
It's close between Y and Z, but I'd go with Z
Step-by-step explanation:
≈-2.2360679775
Answer:
2/9,2/3,5/6,11/8
Step-by-step explanation:
<u><em>Answer:</em></u>
D. f⁻¹(x) = 2x + 10
<u><em>Explanation:</em></u>
<u>The given is:</u>
<u>To find the inverse, follow the below procedures:</u>
<u>1- Convert f(x) to y. </u>
<u>This will give:</u>
<u>2- Swap the x and y variables.</u>
<u>This will give:</u>
<u>3- Solve for y.</u>
<u>This will give:</u>
<u>4- Replace the y in the above step with f⁻¹(x).</u>
<u>This will give us:</u>
f⁻¹(x) = 2x + 10
Hope this helps :)
GCF(3, 24, 27) = 3
Steps:
Prime factorization of the numbers:
3 = 3
24 = 2 × 2 × 2 × 3
27 = 3 × 3 × 3
GCF(3, 24, 27)
= 3
