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mixer [17]
3 years ago
15

The sum of five consective even numbers is less than 100.Find the maximum sum of these five numbers

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
7 0
X+x+2+x+4+x+6+x+8  < 100
5x + 20 < 100
5x < 80
x < 16

so the 5 numbers are 14,16,18,20,22  and  maximum sum  = 90
Ludmilka [50]3 years ago
4 0

100/5 = 20

would be the middle number so 18 +19+20+21+22 = 100

 since you want it to be less than 100 use 17 instead of 22

so you have 17 +18+19+20+21 = 95

95 is the maximum sum

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Starting on the far right, ones, tens, hundreds, thousands, ten thousands, hundred thousands and millions.
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2 years ago
What is the quadratic equation to this question
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Step-by-step explanation:

It's not quadratic.  It's linear.  Each time x increases by 1, f(x) increases by 4.  So the slope is 4.  The y-intercept (when x=0) is -12.  The equation of the line is therefore:

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How do we find the missing side of a shape when we are given the perimeter?
ryzh [129]

Answer:

subtract the inside number's

Step-by-step explanation:

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4 0
3 years ago
Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8
Thepotemich [5.8K]

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

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4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

8 0
3 years ago
One line passes through the point (-8,1) and (4,4). Another line passes through points (-9,-7) and (9,-3). Are the lines paralle
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Answer:

The correct answer is neither.

Step-by-step explanation:

To find the relationship between the lines, find the slope of each. You can do this by using the slope formula.

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m = (4 - 1)/(4 - -8)

m = 3/12

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Now do so for the second line.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-3 - -7)/(9 - -9)

m = 4/18

m = 2/9

Since they are not the same and not opposite/reciprocal, then we know they are neither parallel nor perpendicular.

6 0
3 years ago
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