You are factoring one or more linear expressions (but are not factoring variables).
2.4n+9.6 can be divided by 2.4 and then the result mult. by 2.4:
2.4n+9.6 = 2.4 [ n + 4 ]
Also: -6z+12= 6 [ -z + 2 ] Here I have simplified linear functions but factoring out common constant coefficients (not variables).
Answer:
The larger number is 37. This makes the smaller number 56 - 37, which is 19.
Step-by-step explanation:
The first step is to pick variables for the two numbers. Lets call the smaller number x and the larger number y.
Since the sum of the two numbers is 56, this means that x + y = 56. Let's call this equation 1 and save it for later.
The next sentence says:
The smaller number is 18 less than the larger number. So, 18 less than the larger number would be y - 18. So, the smaller number must be equal to this, so
x = y - 18
Replace the x in equation 1 with y - 18
x + y = 56
(y-18) + y = 56 (replace x with y-18)
2y - 18 = 56 (add the y's)
2y = 74 (add 18 to both sides)
y = 37 (divide both sides by 2)
So, the larger number is 37. This makes the smaller number 56 - 37, which is 19.
Hope this helps!! :)
Answer:
(-2, 6)
Step-by-step explanation:
Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.
Start by looking at the difference in the X and Y coordinates.
X = | -4 - 12 | = | -16 | = 16
Y = | 7 - -1 | = | 8 | = 8
You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.
Now add those calculated offsets to point A.
A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.
The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.
So the coordinates for C is (-2, 6)
Answer:
- <em>Mode is 0</em>
- <em>Median is 1 </em>
- <em>Mean is 2.625</em>
Step-by-step explanation:
- <em>To find the mode, or modal value, it is best to put the numbers in order. A number that appears most often is the mode.</em>
- <em>0, 0, 0, 1, 2, 4, 7, 7 = mode is 0</em>
<em></em>
- <em>To find the Median, place the numbers in value order and find the middle number.</em>
- <em>0 , 0 , 0 , 1 , 2 , 4 , 7 , 7 = median is 1</em>
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- <em>The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.</em>
- <em>0 + 0 + 0 + 1 + 2 + 4 + 7 + 7 / 8 = mean is 2.625</em>
Answer:
C. 4928 in2
Step-by-step explanation:
88 X 56 = 4928 in2
