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Pani-rosa [81]
3 years ago
14

Solve by completing the square. w2 − 8w − 39 = 0 Write your answers as integers, proper or improper fractions in simplest form,

or decimals rounded to the nearest hundredth. w = [ ] or w = [ ]
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

4+√55= 11.42

4-√55= -3.42

Step-by-step explanation:

  • w² − 8w − 39 = 0
  • w²- 2*4w + 16- 55=0
  • (w-4)²=55
  • w-4=√55 ⇒ w= 4+√55= 11.42
  • w-4=- √55 ⇒ w= 4-√55= -3.42
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A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the pr
Morgarella [4.7K]

Answer:

4/75

Step-by-step explanation:

We have two sample spaces

1.Lottery balls

2. Month of the year

For lottery balls the sample space is S= 50

Multiples of 3 between 1 and 50 are

(3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers

Hence the probability of choosing a multiple of 3

Pr(multiple of 3) = 16/50= 8/25

Also the sample space for months of the year is S= 12

Two months starts with letter m, March and may

Pr(of months with m) = 2/12= 1/6

the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75

6 0
4 years ago
What number has the same value as 12 tens
torisob [31]
If one ten is ten then just simply multiply 12*10 and its 120 which can be equal to one hundred and two tens
3 0
3 years ago
Read 2 more answers
A dance floor has a perimeter of 60 meters. The dance floor is 20 meters long. Write an equation to represent the perimeter of t
Jet001 [13]

Answer:

20 meters long and 10 meters wide

Step-by-step explanation:

since the perimeter is 60 and one side of it is 20 then you multiply 20 by 2, 40, to get both sides. Then you subtract 40 from 60 leaving the other two sides as 20, meaning that if you divide 20 by 2 you can find that the width of the dance floor is 10 meters long.

6 0
3 years ago
Kaya devoted 2/5 of her study time to mathematics, 3/20 of her time to social studies, 1/3 of her time to chemistry and the rema
andrezito [222]

Answer:

  54 minutes

Step-by-step explanation:

The sum of fractions is ...

  2/5 + 3/20 + 1/3 = 11/20 +1/3 = (3·11 + 20·1)/(20·3) = 53/60

Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.

Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...

  SS : Eng = (9/60) : (7/60) = 9 : 7

When we multiply the numbers in this ratio by 6, we find ...

  SS : Eng = 54 : 42

Kaya spent 54 minutes studying social studies.

5 0
3 years ago
Using the number line, determine which expressions have a value that is greater than –8. Select Yes or No for each expression. l
Nimfa-mama [501]
<h3>Answer:</h3>

yes

  • -6-(-6)
  • -4-(-7)

no

  • all others
<h3>Step-by-step explanation:</h3>

Doing what the directions say is generally a good idea.

Adding a number moves to the right; subtracting a number moves to the left. Subtracting a negative number is the same as adding its opposite.

The arrowhead end of the line in the figure is the end result. Two of them end up to the right of -8, that is, greater than -8.

8 0
3 years ago
Read 2 more answers
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