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3 years ago

The sum of two numbers is -316. One number is 94 less than the other. Find the numbers.

Mathematics

2 answers:

Oksanka [162]3 years ago

5 0

Answer:

-94+-316=-410

-410+94=-316

Step-by-step explanation:

shutvik [7]3 years ago

5 0

Answer:

One number is -111 and the other is -205.

Step-by-step explanation:

First, form the equation. Since the two numbers equal -316, the equation would equal -316. The equation is as follows:

-316 = n + (n - 94).

To solve you do the following steps:

1. Remove the parenthesis. The new equation is -316 = n + n - 94

2. Combine like terms: -316 = 2n - 94

3. Move the 2n to the left side of the equation by subtracting it from both sides:

-316 = 2n - 94

-2n -2n

-2n - 316 = -94

4. Move the -316 to the right side of the equation by adding it to both sides:

-2n - 316 = -9

+ 316 + 316

-2n = 222

5. Divide both sides by - 2

-2n/ -2 = n

222/-2 = -111

Therefore, n = -111

To get the other number, subtract 94 from -111.

-111 - 94 = -205.

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1. Ans: Option (B) $-6x^4$

Explanation:
Given: $2x^4 - 8x^4$
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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) $9x^2 - 12x + 6$ quadratic trinomial

Explanation:
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.

=> $13x^2 - 4x^2 - 12x + 6$
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4. Ans: Option (C) $7.3x^2 + 0.8x + 1.3$

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

Common guppies: $3.1x^2 +6.0x + 0.3$ 
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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
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Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

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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)

6. Ans: Option (A) $56x^2$

Explanation:
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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:
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3 years ago

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Ugo [173]

Answer:

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Ksivusya [100]

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

The base of the parallelogram is represented by b

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$h = (2 {x}^{2} - 6)$

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A = 2x³ - 8x² - 6x + 24

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

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