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mixer [17]
4 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]4 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]4 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

You might be interested in
What was the median number of posts made?
mariarad [96]

Using it's concept, it is found that the median number of posts made was of 8.5.

<h3>What is the median of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the total number of observations is the sum of the frequencies, hence:

T = 1 + 0 + 3 + 1 + 2 + 1 + 1 + 2 + 3 + 5 + 9 = 28

Even number, hence the median is the <u>mean between the 14th and the 15th elements</u>, of the ordered set, hence:

M = (8 + 9)/2 = 8.5.

To remind, the ordered set is: {0, 1, 1, 1, ..., 8, 8, 8,  9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10}

The median number of posts made was of 8.5.

You can learn more about the median at brainly.com/question/16103295

6 0
2 years ago
E
Allushta [10]

Answer:

Step-by-step explanation:

We can use Hypotenuse Theorem for this:

For triangle ABC,

AC²=CB²+BA²

9²=CB²+3²

Switch the sides

-CB²=3² -9²

-CB²= 9-81

-CB²= -72

the signs cut each other

CB²=72

the square changes sides

CB=√72

CB= 8.49 cm

Now triangle CBD

We have the length of CB but not the other two whereas we have the angle

It will be sin

As we know sin= O/H

Here O is CB whereas H is CD

Put the values

sin 50= 8.49/H

H= 8.49 ÷sin 50

Calculate

H=11.1 cm

As we know H is CD so CD is 11.1 cm

Hope it helps

8 0
3 years ago
Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
11Alexandr11 [23.1K]
So basically
D=RT
distance=rate times time

D=233
carlos speed=55
maria speed=50
total time=4.4 hours

so therefor we have to represent
carlos time
maria time
carlos distance
maria dstance

let's say that
remember that whatever carlost drove is 233 minus maria (time and distance)
and since we are solving for maria time and distnace, solve in terms of them
maria time=t
maria distance=d
carlos time=4.4-t
carlos distance=233-d

remember total D=RT
find their seperate equations
carlos
233-d=55(4.4-t)

maria
d=50(t)
use them to solve

233-d=55(4.4-t)
subsitute 50(t) for d
233-50t=55(4.4-t)
add 50t to both sides
233=55(4.4-t)+50t
distribute using distributiver protperty (a(b+c)=ab+ac)
55(4.4-t)=242-55t
233=242-55t+50t
add like terms
233=242-5t
add 5t to both sides
233+5t=242
subtract 233 from both sides
5t=9
divdie both sides by 5
t=1.8
maria drove 1.8 hours

the answer is A
8 0
3 years ago
Which subtraction problem does NOT require zero pairs to solve using chips ? ( PLEASE ANSWER ASAP )
Mama L [17]

Answer:

c.

Step-by-step explanation:

7 0
3 years ago
If there are 2.6 million death per year how many deaths per minute
OlgaM077 [116]
Minutes per year is the main thing to figure out here which takes a tiny bit of multiplying but you'll end up with 525,600 minutes
just divide the deaths per year by minutes per year and it should give you the correct answer
2,600,000/525,600 = 4.95 so if you end up rounding, just about 5 deaths per minute
4 0
3 years ago
Read 2 more answers
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