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Fiesta28 [93]
2 years ago
15

4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step.

Mathematics
2 answers:
vagabundo [1.1K]2 years ago
6 0
First, multiply 4*2x-4*-5= 8x-20.
Second, add 15 to 8x-20
Third, that would equal 8x-20+15=11 
Fourth, 15+-20= -5 
Fifth, 8x-5=11
Sixth, add +5 to -5 and +5 to 11= 8x=16 
Last, do 8x/8x and 16/8x 
The answer is x=2
amid [387]2 years ago
3 0
8x-20+15=11
8x+15=11+20
8x+15=31
8x=31-15
8x=16
X=2

First, add 20 to both sides
Simplify
Subtract 15 from both sides
Simplify
Divide 8 from both sides
Simplify
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erma4kov [3.2K]

Answer:

Sin (E) = √74/(2√23)

Step-by-step explanation:

Reference Angle = E

Hypotenuse = 2√23

Adjacent = 3√2

Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)

Recall SOHCAHTOA.

Thus,

Sin (E) = opp/hyp

Sin (E) = √74/(2√23)

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2 years ago
What is the percent decrease from 10 to 3
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7 0
3 years ago
The weights (in pounds) of 18 preschool children are
ivanzaharov [21]

Answer:

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Step-by-step explanation:

Given the

The weights (in pounds) of 18 preschool children are

32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29

To find its 20th percentile and 75th percentile.

In ascending order we get like this

Position  X (Asc. Order)

1  20

2  21

3  22

4  23

5  24

6  25

7  27

8  29

9  30

10  31

11  32

12  33

13  34

14  37

15  39

16  41

17  44

18  45

Percentile position = (no of entries +1)20/100 = 19/5 = 3.8

Since posiiton is not integer we use interpolation method.

The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.

Hence 20th percentile = 22+0.8(23-22)=22.8

So answer is 22.8

----------------------

75th percentile

Percentile posiiton = 19(75)/100 = 14.25

75th percentile= 37+0.25(39-37)=37.5

6 0
3 years ago
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