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Step2247 [10]
3 years ago
10

Six times the sum of three consecutive odd integers is -18 find integers

Mathematics
2 answers:
Olenka [21]3 years ago
6 0

Answer:

-3, -1, 1

Step-by-step explanation:

-18 divided by 6 is -3

now guess and check the 3 consecutive odd numbers that work

Sliva [168]3 years ago
4 0

Answer:

-3, -1 and 1

Step-by-step explanation:

Assuming n is the first of the three integers, you can express this as the equation:

6(n + n+2 + n+4) = -18

which simplifies to

18n = -54

n = -3

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Plzz help! bralilest asap
Nonamiya [84]

Answer:

C: a reflection across the y axis rotated 180 degrees

Step-by-step explanation:

The y axis is a vertical line, the same like that the trapezoid is flipped across

The trapezoid is rotated 180 degrees across the y axis

8 0
4 years ago
Read 2 more answers
Y = 2x + 3<br> 2y = 4x + 6<br><br> The system of equations has _____ solution(s).
Len [333]
Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too
p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions
6 0
3 years ago
Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​ width, the lower class​ limits,
Georgia [21]

Answer:

Step-by-step explanation:

Given that minimum is 8 and maximum equals 82

Range = 84-8 = 76

No of classes =6

Class width = 76/6 ~13

But not given whether variable is discrete or continuous.

If discrete, we have classes as

8-20, 21-33, 34-46, 47-59, 60-72, 73-85

If continuous, we have classes as

8 to <21

21 to <34

and ... ending 73-<86

7 0
3 years ago
If tan theta = 12/5 and cos theta &lt; 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for
Anuta_ua [19.1K]

Answer:

Function: y=140+25x

Amount earned for 10 hours of work: \$390

Step-by-step explanation:

Let be "x"  the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

  • $140 is a fixed amount.
  • For each hour worked on the project, Luigi charges $25. This can be expressed as: 25x

Then, the total amount he charges for a project is the sum of $140 and 25x. This can be represented with the following function:

y=140+25x

To calculate the amount of money earned for 10 hours of work, you must substitute x=10 into the function and evaluate. Then:

y=140+25(10)\\\\y=390

7 0
4 years ago
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