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Monica [59]
3 years ago
13

Solve the equation. |x + 5| = 9 a. |-14,4| b. |-4,14| c. |4,14| d. |-14,4|

Mathematics
2 answers:
Grace [21]3 years ago
8 0

Answer:

x = 4            x = -14

Step-by-step explanation:

|x + 5| = 9

The absolute value equation has a positive and negative solution

x+5 = 9   x+5 = -9

Subtract 5 from each side

x+5-5 = 9-5   x+5-5 = -9-5

x = 4            x = -14

lilavasa [31]3 years ago
4 0
The answer is c 9-5 and 9+5
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Sixth grade Y.14 Factor using th<br> Factor 10y + 20z.
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Answer:

17zy

Step-by-step explanation:

big brain

5 0
3 years ago
Read 2 more answers
Identify the class​ width, class​ midpoints, and class boundaries for the given frequency distribution.
Crank

Answer:

a. Class width=4

b.

Class midpoints

46.5

50.5

54.5

58.5

62.5

66.5

70.5

c.

Class boundaries

44.5-48.5

48.5-52.5

52.5-56.5

57.5-60.5

60.5-64.5

64.5-68.5

68.5-72.5

Step-by-step explanation:

There are total 7 classes in the given frequency distribution. By arranging the frequency distribution into the refine form we get,

Class

Interval frequency

45-48 1

49-52 3

53-56 5

57-60 11

61-64 7

65-68 7

69-72 1

a)

Class width is calculated by taking difference of consecutive two upper class limits or two lower class limits.

Class width=49-45=4

b)

The midpoints of each class is calculated by taking average of upper class limit and lower class limit for each class.

M=\frac{lower class limit+upper class limit}{2}

Class

Interval Midpoints

45-48 \frac{45+48}{2}=46.5

49-52 \frac{49+52}{2}=50.5

53-56 \frac{53+56}{2}=54.5

57-60 \frac{57+60}{2}=58.5

61-64 \frac{61+64}{2}=62.5

65-68 \frac{65+68}{2}=66.5

69-72 \frac{69+72}{2}=70.5

c)

Class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class interval.

Class

Interval Class boundary

45-48 44.5-48.5

49-52 48.5-52.5

53-56 52.5-56.5

57-60 56.5-60.5

61-64 60.5-64.5

65-68 64.5-68.5

69-72 68.5-72.5

7 0
3 years ago
The population of a city today is 257,600 people. This is 115% of the population 5 years ago . How many people lived in the city
Hunter-Best [27]
To find the answer you multiply 257600 by 115% or 1.15 and the Answer you get you subtract from 257600!
3 0
3 years ago
Write an expression that converts 50 liters per minute into milliliters per second
Mariulka [41]
So to convert from leiters per minute to milileters per second

lieters=L
milileters=ml
minute=M
second=S

L/M=liters pre minute
ml/s=milileters per second

so to convert, just conver them seperately first

L=1000ml
M=60S
therefor
conversion factor for M to S=
M times 60S/1M=minutes


conversion factor from L to ml=
L times 1000ml/L


so basically to convert, just multiply the equations gotether

L/M times 1000ml/L times M/60s (we flipped the M to S equation since M is on the bottom)    =L/M times 1000/60=L/M times 100/6=L/M times 50/3

if you have 50 liters per minute than
50/1 times 50/3=2500/3=833.33333 ml per second
7 0
3 years ago
the measure of angle a is 16 degrees greater than the measure of angle b. the tow angles are complementary. find the measure of
Fudgin [204]
This is a system of equations problem.  Set up the 2 equations like so: If the angles are complementary then they add up to 90, therefore, a + b = 90.  We also know that a is 16 more than b.  The word "is" means equals and "more" is addition.  Therefore, a is 16 more than b is "a = b + 16".  Now sub in that value of a (b + 16) into the first equation and solve for b.  Then back-substitute to solve for a. (b + 16) + b = 90 so 2b + 16 =  90 and 2b = 74.  So b = 37.  If b = 37, then a + 37 = 90 and a = 53.  Check yourself to make sure that 37 + 53 add up to equal 90 (they do, just get used to checking yourself for accuracy).

4 0
3 years ago
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