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kiruha [24]
3 years ago
7

What is the reason for each step in the solution of the inequality? 28−3(x−2)<5x+10

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

1. 28 − 3(x − 2) < 5x + 10            Given

2. 28 − (3)(x) + (-3)(-2) < 5x + 10       Distributive Property <em>a(b + c) = ab+ ac</em>

28 − 3x + 6 < 5x + 10

3.  (28 + 6) - 3x < 5x + 10             Combine Like Terms

34 − 3x < 5x + 10

4. 34 - 3x + 3x < 5x + 3x + 10             Addition Property of Order

34 < 8x + 10

5. 34 - 10 < 8x + 10 - 10        Subtraction Property of Order

24 < 8x

6. 24/8 < 8x/8        Division Property of Order

3 < x

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fiasKO [112]
(y2-y1)/(x2-x1)
=(0-1.5)/(-2-0)
=0.5
6 0
3 years ago
Enteroliths are calcifications that form in the gut of a horse. The stones can cause considerable morbidity and mortality. A stu
juin [17]

Answer:

A. mean=14.29

median=16

B. IQR=10

C.   option 3

D. 5.91

Step-by-step explanation:

mean=sum of values/number of values=10+20+4+13+21+16+16/7=14.29

median is achieved by arranging data in increasing order and then calculating the middle value

4 10 13 16 16 20 21

The mid value is 16 so the median=16

IQR=interquartile range=3rd quartile-1st quartile=Q3-Q1=20-10=10

As n/4=7/4 is not an integer so

Q1=(n/4+1)value=(7/4+1)=2.75=2nd value=10

Q3=(3n/4+1)value=6.25=6th value=20

Standard deviation=s=sqrt(∑(x-xbar)²/n-1)=sqrt(209.43/6)=5.91

7 0
3 years ago
You can buy 5 oranges for $2.50. What is the unit rate for 1 orange? How much would 8 oranges cost?
lions [1.4K]

Answer:

Step-by-step explanation:

You have to divide 5 by 2 to find the unit rate.

5/2= 2.5

Hope this helps.

5 0
3 years ago
Hmmm, can i have help? sorry its hard to see...​
Lady_Fox [76]
Y= -3x+8
y= 3x+2
both points meet at points ( 1 , 5 )

solve algebraically:
-3x+8=3x+2
+3 +3
_________
8=6x + 2
-2 -2
_________
6/6= 6x/6
x=1

y=3(1)+2
y=3+2
y=5

points: (1,5)
6 0
3 years ago
Whats 2 + 500 - 700 x -400/ 20
garri49 [273]

Hello! :D

The simplified answer is:  502 + 14000x

Hope this helps! Have a wonderful day! :D

6 0
3 years ago
Read 2 more answers
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