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Katarina [22]
2 years ago
7

Find the three consecutive even integers such that one half of their sum is between 15 and 21. set up and solve a compound inequ

ality.
Mathematics
1 answer:
Kay [80]2 years ago
4 0

The even integers are 10,12 and 14.

Concept:  An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.

Let x,x+2,x+4 be the least, middle and greatest integer respectively.

According to the question,

15< x+x+2+x+4< 21

(3x+6)/2> 15      and    (3x+6)/2< 21

30< 3x+6                      3x+6> 42

24<3x                            3x<36

8<x                                x>12

x=10

x+2=12

x+4=14

Hence, The even integers are 10,12 and 14.

For more information about integers, visit

brainly.com/question/17695139

#SPJ4

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uranmaximum [27]

Answer:

Use Ga_thMath(u) (brainly doesn't allow me to type it) To use the app u need to take a pic of the problem and then it will process it and you'll get ur answer ASAP(most of the time). Many questions have been asked before so search it on brainly.

Step-by-step explanation:

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The test scores for the exam in statistics class have a mean of 78 points and standard deviation of 9 points. A student is rando
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Answer: the answer is 809

Step-by-step explanation:

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If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)
Elina [12.6K]

If we write k where we see x in the equation and set the result equal to -10, we get the result.

  • f(k)=k(k)^3+k^2-k(k)+2
  • =k^4+k^2-k^2+2
  • =k^4+2=-10
  • k^4=-12
  • k_{1}=\sqrt[4]{3}(-1-i)
  • k_{2}=\sqrt[4]{3}(-1+i)
  • k_{3}=\sqrt[4]{3}(1-i)
  • k_{4}=\sqrt[4]{3}(1+i)

4 0
1 year ago
Need help multiplying -300 to N+M&amp;M=10 for equation (1)​
xz_007 [3.2K]

Answer:

3.5 pounds of nuts; 6.5 pounds of M&Ms

Step-by-step explanation:

Let m represent the number of pounds of M&Ms to use. Then 10-m is the number of pounds of nuts, and the cost of the mix is ...

6·m + 3·(10-m) = 4.95·10 . . . . . cost = cost per pound times pounds

3m +30 = 49.5 . . . . . . simplify

3m = 19.5 . . . . . . . . . . . subtract 30

m = 6.5 . . . . . . . . . . . . . divide by 3

Then 10-m = 10-6.5 = 3.5.

The manager should use 3.5 pounds of nuts and 6.5 pounds of M&Ms in the mix.

7 0
3 years ago
Can I get help on each one and not just answers please
harina [27]

1. To get the decimal, you divide 8 by 7 and add that to the back of ten. One eighth is .125. .125*7= 0.875, so your answer is 10.875.

2. A fifth is .2, so your answer is 9.8.

3. One ninth is .11..., which that repeating forever, so 8/9 is .89. You round the last eighth up.

4. 11 goes into 24 twice. Subtract 22 to get 2. Add a decimal and a zero. 11 goes into 20 once. Subtract 11 to get 9. Add another zero. 11 goes into 90 8 times. Subtract 88 to get 2. So your answer is 9.2. Sorry, it's hard to do long division on Brainly haha.

5. 6/27 is equal to 3*2/3*9, which is equal to 2/9. 2/9s is .22...

6. I can't see this one.

7. 8.7/1.4 is basically your problem. Move over the decimals in both of them so that you have 87/14 so that you can actually divide. So put them in long division format, and add a zero so you have 140. 87 goes in once, and you subtract 87 from 140 to get 53. Add another zero. 87 goes into 530 six times. Subtract 522 to get 8. Round .16 to .2 Your answer is .2

8. I'll teach you a fun property. Dividing is the same as multiplying by the reciprocal of something - or the upsidedown version. So if you have .1/1, then you multiply .365 by 1/.1. When you divide by .1, you get 3.65.

9. Do the same thing here. .01/1 flipped is 1/.01. You get 4270.9.

10. Move the decimal over the left three times: .00247

11. Move the decimal over to the left three times: .00039

12. Can't read all of this one.

Hope I helped!

4 0
4 years ago
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