Find three consecutive numbers whose sum is 138 by writing and solving an equation
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x
x+1
x+2
as you need these numbers to be consecutive. Because it is asking for the sum, you need to add these three variables and set them equal to 138:
(x)+(x+1)+(x+2)=138
At this point the parentheses don't matter, so they can be removed:
x+x+1+x+2=138
Combine like terms:
3x+3=138
Subtract the three:
3x=135
Divide 135 by 3:
x=45
Then, plug 45 back into the other two variable equations:
45+1=46
45+2= 47
Your 3 consecutive integers are 45, 46, and 47
Those numbers are 45,46,47.
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Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work?
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Volume = 950 cubic inches
V = 4/3 π r³ ; where π = 3.14
950 in³ = 4/3 * 3.14 * r³
950 in³ = 4.19 * r³
950 in³ ÷ 4.19 = r³
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Answers
2,500 shares of common stock
$100,000.00 total value
Find the par value of each share.
Par value is the value written on each certificate of stock.
We get the par value by dividing the total value of the common stock by the total number of shares of common stock.
$100,000 ÷ 2500 shares = $40 per share
The par value of each share is $40.00
The par value of each share is calculated as $40 which is option A
What is the par value of each share?
To find the par value of each share, we divide the total value by the number of shares. In this case, the Hamilton Brush Company issued 2,500 shares worth $100,000.00 in total.
$100,000.00 divided by 2,500 shares gives us $40.00.
Mathematically;
1000000 / 2500 = 40
Therefore, the par value of each share is $40.00.
The answer to this problem is option A
Learn more on par value of share here;
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Answer:
The complete question is
Find the percent of change. Round to the nearest tenth if necessary.
25 points to 50 points .
Notice that this change is an increase, to fint the percetange of change, we just need to divide and then multiply by 100 to have it in percetange expression:
So, the percentage of change is 100%, because the change is 25, that was the increase.
125 invitations to 75 invitations .
Which means 75 invitations represents 60% of the old number of invitations.
So, the percentage of change is 40%, because that's the percentage of the difference.
32 pages to 28 pages .
You can do another process, first find the difference:
Then, you divide:
So, the percentage of change is 12.5%.
7 players to 10 players.
So, the percentage of change is around 43%.
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The value in the x axis will be the Year.
The value in the y axis will be the Year Profit.
The increment on the x axis will as is.
The increment on the y axis can either be $50,000.
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Answer:
If a square has an area of 144 square inches and is reduced by a factor of 1/6, it means that both the length and width of the square are multiplied by the square root of 1/6.
To find the new side length, we can take the square root of 1/6 and multiply it by the original side length.
Original side length = sqrt(144) = 12 inches
New side length = (1/6)^(1/2) * 12 inches
Simplifying the calculation:
New side length = (1/√6) * 12 inches
Now we can calculate the new side length:
New side length ≈ 3.27 inches (rounded to two decimal places)
To find the new area, we square the new side length:
New area = (3.27 inches)^2 ≈ 10.68 square inches (rounded to two decimal places)
Therefore, after reducing the square by a factor of 1/6, the new side length is approximately 3.27 inches, and the new area is approximately 10.68 square inches.