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svet-max [94.6K]
3 years ago
10

3 times the sum of 1/3 of a number and 8 is 11

Mathematics
1 answer:
Bumek [7]3 years ago
5 0
3(1/3x + 8) = 11
x + 24 = 11
x = 11 - 24
x = - 13
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Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is
mario62 [17]
We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
  x^2 + 85 = x^2 - 34x + 289
           -85                       -85
_______________________
      x^2 = x^2 - 34x + 204                    
     +34x         +34x
_______________________
 x^2 + 34x = x^2 + 204
-x^2             -x^2
____________________
       34x = 204
Divide 34 on both sides
      x = 6.
The number is 6.
5 0
3 years ago
The coach recorded the time it took 15 students to run a mile. The times are as follows: 9:23, 8:15, 9:23, 9:01, 6:45, 6:55, 7:2
r-ruslan [8.4K]

Answer:

Therefore, the four intervals are

(1)    6 - 6.59

(2)   7 - 7.59      

(3)    8 - 8.59      

(4)    9 - 9.59

The four frequencies are

(1)   4

(2)   3

(3)   1    

(4)  6

Step-by-step explanation:

From the data, we have

                     Interval                                                       Frequency

1st                 6 - 6.59                                                        4

2nd               7 - 7.59                                                        3

3rd                8 - 8.59                                                        1

4th                 9 - 9.59                                                       6

Therefore, the four intervals are

(1)    6 - 6.59

(2)   7 - 7.59      

(3)    8 - 8.59      

(4)    9 - 9.59

The four frequencies are

(1)   4

(2)   3

(3)   1    

(4)  6

5 0
3 years ago
Please solve and give me the answer. Please show me how you solved it too.
Evgen [1.6K]

Answer:

x = 24

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

4x + x + 60 = 180

5x + 60 = 180

5x = 120

x = 24

3 0
3 years ago
A bag contains 5 red marbles, 8 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probabi
Zarrin [17]

Step-by-step explanation:

step 1. let's assume they are drawn without replacement and probability is denoted P.

step 3. P = (5/17)(4/16)(3/15)

step 4. P = (5/17)(1/4)(1/5)

step 5. P = 5/340

step 6. P = 1/68 = 0.0147 = 1.5%

6 0
3 years ago
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JulsSmile [24]
Yes, Torri has enough money because the sales tax is $1.26. So, she will have $0.64 left.
Hope this helps :)
7 0
3 years ago
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