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Ede4ka [16]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0
   x = 36.2  .
______________________________________________

Explanation:
________________________________________________
2x - 1 + 3x = 180 ;

Combine the "like terms" on the left-hand side of the equation:
________________________________________________
   +2x  + 3x = + 5x ;
_____________________________________
 And rewrite:
_____________________________________
   5x - 1 = 180 ;
_____________________________________
  Add "1" to each side of the equation:
_____________________________________
   5x - 1 + 1 = 180 + 1 ;
_____________________________________
     5x = 181 ;  
_____________________________________
  Divide EACH SIDE of the equation by "5" ;
_____________________________________
     5x / 5 = 181 / 5 ;
_____________________________________
   to get:
_____________________________________
  x = 36.2  .
_____________________________________
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In a survey of U.S. adults with a sample size of 2062​,330said Franklin Roosevelt was the best president since World War II. Two
tigry1 [53]

Answer:

a) 0.0255

b) 0.7050

c) 0.2945

Step-by-step explanation:

Probability that one of those sampled saying that Roosevelt was the best president since World War II = 330/2062 = 0.16

Probability that one of those sampled don't mention Roosevelt = (2062 - 330)/2062 = 1732/2062 = 0.84

a) The probability that both adults picked say Franklin Roosevelt was the best president since World War II = (330/2062) × (329/2061) = 0.0255

b) The probability that neither of the two adults say Franklin Roosevelt was the best president since World War II = (1732/2062) × (1731/2061) = 0.7050

c) The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = Probability that one of the two adults mention Roosevelt + Probability that the two adults mention Roosevelt

Probability that one of the adults mention Roosevelt = [(330/2062) × (1732/2061)] + [(1732/2062) × (330/2061)] = 0.269

Probability that two of the adults mention Roosevelt has been done in (a) and it is equal to 0.0255

probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = 0.269 + 0.0255 = 0.2945

3 0
3 years ago
A canoe requires 8 hours of fabrication and a rowboat 5 hours. The fabrication departments has at most 107 hours of labor availa
Elina [12.6K]

Answer: A

Step-by-step explanation: Canoe → 8h →X

                                            Rowboat → 5h → Y

Fabrication department has at most 107, which means it need to be <u>less</u> than 107 hours.

This way, the amount of time to fabricate X canoes = 8X plus the amount of time to fabricate Y Rowboat = 5Y must be less than 107.

8X + 5Y < 107

6 0
3 years ago
Solve &amp; Discuss It!
agasfer [191]

Answer:

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

Step-by-step explanation:

After reviewing the information given for solving the question, we notice that the ratio of adults in relation with the number of children at the beach is 4:3. In that case, for finding the number of children for every specific number of adults, we do the following calculations:

1. For 8 adults: 8/4 = 2 and using the ratio 4:3, we multiply by 2 and we get that the number of children is 6.

2.  For 12 adults: 12/4 = 3 and using the ratio 4:3, we multiply by 3 and we get that the number of children is 9.

3.  For 16 adults: 16/4 = 4 and using the ratio 4:3, we multiply by 4 and we get that the number of children is 12.

4.  For 20 adults: 20/4 = 5 and using the ratio 4:3, we multiply by 5 and we get that the number of children is 15.

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

7 0
3 years ago
Y is directly proportional to the square root of p h=5.4 when p=1.44 find h when p= 2.89
sammy [17]

Answer:

I dont know what the answer is exactly

6 0
3 years ago
What is the sum of the series?​
Natalija [7]

Answer:

44

Step-by-step explanation:

k=1: 2*1-4 = -2

k=2: 2*2²-4 = 4

k=3: 2*3²-4 = 14

k=4: 2*4²-4 = 28

-2 + 4 + 14 + 28 = 44

4 0
3 years ago
Read 2 more answers
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