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jenyasd209 [6]
3 years ago
5

15. Aime, Seamus and Shane were discussing how long it took them to complete their

Mathematics
2 answers:
inysia [295]3 years ago
6 0

Answer:

C(2) + (C- 45) + C

Step-by-step explanation:

Let's use these variables to represent Aime, Seamus, and Shane in our expression:

A = Aime

C = Seamus

S = Shane

We know that Aime spent twice as long as Seamus did while doing homework. Therefore we would add this to our expression:

C(2)

We multiply Seamus' time by 2 because Aime spent twice as long doing school. That means we have to multiply.

Now, to represent Shane's time spent doing school, we would need to make the equation look like this:

C(2) + (C - 45)

We subtract 45 from C (Seamus' time spent doing HW) because Shane spent 45 minutes less than Seamus did doing HW.

Finally, we just need to represent Seamus' time:

C(2) + (C - 45) + C

We add Seamus' time at the end of the expression since we are trying to figure out the total amount of time Aime, Shane, and Seamus spent doing HW.

I hope this helps!

Anna71 [15]3 years ago
4 0

Answer:

x + 2x + (x - 45)

Step-by-step explanation:

seamus is x

aime is twice seamus so multiply x by 2

shane did it 45 less than seamus so subtract by 45

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Explanation:
Given: 2x^4 - 8x^4
Take the common out:
=> x^4(2 - 8)

Hence: => [tex]-6x^4[/tex] (Option B)

2. Ans: Option (D) -3y^5

Explanation:
Given: 6y^5 - 9y^5
Take the common term(s) out:
=> y^5(6-9)

Hence: => -3y^5 (Option D)

3. Ans: Option (B) 9x^2 - 12x + 6<span> quadratic trinomial 

Explanation:
</span>Given: 6 - 12x + 13x^2 - 4x^2

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> 
13x^2 - 4x^2 - 12x + 6
=> 9x^2 - 12x + 6 (Option B)

4. Ans: Option (C) 7.3x^2 + 0.8x + 1.3

Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

</span>Common guppies: 3.1x^2 +6.0x + 0.3<span>
Endler's guppies:   </span>4.2x^2 - 5.2x + 1.0
(add both)
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Total number:          7.3x^2 +0.8x + 1.3
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Hence the ans is Option(C) 7.3x^2 + 0.8x + 1.3

5. Ans: Option (D) 2x^2(133 - 18 \pi )

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = 266x^2

Now the area of the circular fountain:
Area of the Circular Fountain = \pi r^2
Since, r=6x
Therefore,
Area of the Circular Fountain = \pi (6x)^2 = 36 \pi x^2

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = 266x^2 - 36 \pi x^2
=> Final area of the Yard = 2x^2(133 - 18 \pi) (Option D)

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Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = 60x^2

Now the area of the stadium:
Area of the stadium = 1x * 4x = 4x^2

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= 60x^2 - 4x^2
=> Final area of the lot = 56x^2 (Option A)

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