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matrenka [14]
3 years ago
8

In a Senate Legislature, there were 119 more members in the House of Representatives than in the Senate. If there were m members

in the Senate, write an expression to represent the total members in the State Legislature.
Mathematics
1 answer:
sesenic [268]3 years ago
6 0
It is very important to go through the details given in the question. Based on those given details the answer to the question can be easily deduced.
The number of members in the senate = m
Then
The number of members in the House of Representatives = m + 119
So
The total number of members in the State Legislature = m + m + 119
                                                                                       = 2m + 119
From the above deduction we an conclude that there are 2m + 119 members in total in the state Legislature. I hope there is nothing complicated in the procedure for you to understand.
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MA_775_DIABLO [31]
You can expect to get 120 sixes
5 0
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Substitute u=\ln x, so that \mathrm du=\dfrac{\mathrm dx}x. The integral is then equivalent to

\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\int\frac{\mathrm du}{u^p}=\begin{cases}\dfrac{u^{p+1}}{p+1}+C&\text{for }p\neq1\\\\\ln|u|+C&\text{for }p=1\end{cases}

Then transforming back to x gives

\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\begin{cases}\dfrac{\ln^{p+1}x}{p+1}+C&\text{for }p\neq1\\\\\ln|\ln x|+C&\text{for }p=1\end{cases}
4 0
3 years ago
Can someone help me solve this.​
Amanda [17]

Answer:

equilateral:  E

scalene:  F

isosceles:  G

Step-by-step explanation:

equilateral = all sides are equal

scalene = no sides are equal

isosceles = two sides are equal

4 0
3 years ago
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0
3 years ago
Given the figure below, which of the following points name a line segment, a line, or a ray?
GuDViN [60]

Answer:

line

Step-by-step explanation:

A line segment is a part of a line.


4 0
3 years ago
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