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vredina [299]
3 years ago
12

Is the equation true, false, or open?. 5x+2=6x+11.

Mathematics
2 answers:
Gala2k [10]3 years ago
5 0

The <em><u>correct answer</u></em> is:

True

Explanation:

An equation is false if there is no solution; open if there are an infinite amount of solutions; and true if there is one solution.

To solve this equation, we will gather all of the x's on the same side.  To do this, subtract 6x from each side:

5x+2 = 6x+11

5x+2-6x = 6x+11-6x

-1x+2 = 11

Subtract 2 from each side:

-1x+2-2 = 11-2

-1x = 9

Divide both sides by -1:

-1x/-1 = 9/-1

x = -9

There is one solution, so this is true.

astra-53 [7]3 years ago
4 0
5x + 2 = 6x + 11

5x - 6x = 11 - 2

-x = 9

x = -9

Since there is a solution, hence the equation is true. 
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Georgia [21]

Answer:

integers

Step-by-step explanation:

so negative and positive are numbers in questions so no.

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5 0
3 years ago
the height of a cylinder is three times the diameter of the base. the total surface area of the cylinder is 126pi ft^2. what is
julia-pushkina [17]
The easiest way to do this is to put the height in terms of radius. If diameter is 2 times the radius, then d = 2r. If the height is 3 times the diameter and diameter is twice the radius, then d = 2r, h = 3d, and 3d = 6r. Therefore, h = 6r by the transitive property of equality. Anyway...The formula for surface area of a cylinder is SA= 2 pi r^2 + 2 pi r h. Let's sub in what we know now, which is that SA = 126 and h = 6r: 126 pi = 2 pi r^2 + 2 pi r (6r). Simplifying that we get
126 pi = 2 pi r^2 + 12 pi r^2. Simplifying even further gives us
126 pi = 14 pi r^2. Divide both sides by 14 pi to get 9 = r^2. Now take the square root of both sides to get that r = +/- 3. But since we know that radius cannot be negative, the answer is that the radius is 3.
3 0
3 years ago
A group of young businesswomen wish to open a high fashion boutique in a vacant store, but only if the average income of househo
vova2212 [387]

Answer:

<u>Based on the results the boutique could be located there.</u>

<u>Step-by-step explanation:</u>

Note: The average income (the mean) is calculated by summing the total incomes then divided by the total sample–9.

The mean ù (average income) = $28,000 + $24,000 + $26,000 + $25,000 + $23,000 + $27,000 + $26,000 + $22,000 + $24,000= $225,000/9= $25,000 (which is ≥ $25,000.

Based on the results of the p-value, using the 5% significant level <em>we fail to reject the null hypothesis</em> (ú≥25,000).

7 0
3 years ago
4) The sum of three consecutive odd numbers Is 141.<br> What is the smallest of the three numbers ?
Gre4nikov [31]
Answer: 45

Explanation:
When finding the equations for the numbers, remember that it is not three consecutive numbers: it is three CONSECUTIVE ODD numbers. Thus:

First number = x
Second number = x + 2
Third number = x + 4 (second number + 2)

x + x + 2 + x + 4 = 141
3x + 6 = 141
3x = 135
x = 45

This tells us that the smallest number (x) is 45. To check our answer, we can plug this value in for x:

45 + 45 + 2 + 45 + 4 = 141
141 = 141

This also tells us that the other two numbers would be 47 and 49, and 45 + 47 + 49 also equals 141.
7 0
3 years ago
Eric’s mother wants to help him with his math homework. She puts 24 cookies in the cookie jar. 12 of the cookies are chocolate c
shusha [124]

Answer:

12% 4% 8%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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