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AleksandrR [38]
4 years ago
8

TWENTY PTS!!!

Mathematics
1 answer:
Elan Coil [88]4 years ago
7 0

Answer:

1.

d + 7 > (7d + 3)/3

3d + 21 > 7d + 3

18 > 4d

d < 18/4

d < 9/2

d < 4.5

2.

36 - 2n < 1/3 * n + 15

36 - 15 < 2 1/3 * n

21 < 7/3 * n

21 * 3/7 < n

9 < n

n > 9

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4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
What is the answer to nx6=72
slavikrds [6]
n*6=72
6n=72
\frac{6n}{6}=\frac{72}{6}
n=12
8 0
4 years ago
Read 2 more answers
A boardwalk that is x feet wide is built around a rectangular pond. The combined area of the pond and the boardwalk is 4x^2+140x
hoa [83]
The correct answer is B 30 by 40 feet
7 0
3 years ago
The product of a linear monomial and a linear binomial is a ​
oksian1 [2.3K]

Answer:

The product of a linear monomial and a linear binomial is a second degree binomial

Step-by-step explanation:

Examples of linear monomials are:

2x

2a

y

Examples of linear binomials are:

2x+y

x-y

3a+b

x+1

When we take the product of a linear monomial and a linear bbinomial we obtain:

2a(3a+b)=6a²+2ab

y(x+1)=xy+y

y(x-y)=xy-y²

These are all second degree binomials.

4 0
3 years ago
What is the area of the triangle given in the picture?
givi [52]

Answer:

68

Step-by-step explanation:

Area of a triangle is

\frac{1}{2}  \times base \times height

8 0
3 years ago
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