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:
2⁹
Step-by-step explanation:
Using the rule of Indices:
aⁿ x aˣ = aⁿ⁺ˣ
Hence: 2²⁺³⁺⁴
= 2⁹
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
Évaluate/Combine like terms.
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
<u>Alternative</u>
<u>Answer</u>
- (f+g)(x) = 2x²-2x-2
- (f+g)(x) = 2(x²-x-1)
Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
Answer:
$186.2
Step-by-step explanation:
38 kg costs $144.40
∴ 1 kg costs = = $3.8
49 kg costs = 3.8 x 49
= $186.2
10%5E2+=+4x+%2B+5
100+=+4x+%2B+5
4x+=+95
x+=+23.75
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