1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
5

Ten times the sum of half a number and 6 is 8

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Yep !  By golly, sho nuff, dV-dT and E to the X !  
Everything checks out, and the mystery number is      - 10.4

You might be interested in
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi
r-ruslan [8.4K]

Answer:

15.85%

Step-by-step explanation:

The empirical rule states that:

  • 68% of all data falls within 1 standard deviation of the mean
  • 95% of all data falls within 2 standard deviation of the mean
  • 99.7% of all data falls within 3 standard deviation of the mean

When we say 1,2,3 standard deviation of the mean, that is, it is evenly distributed in both sides of the mean. For example:

68/2 = 34% of data falls within mean - 1*standard deviation, and

also, 34% of data falls within mean + 1*standard deviation

Now, we see that 192 - 27 = 165, so this is 1 standard deviation of the mean [mean - 1*standard deviation], so 34% of data fall in that range.

But we want, data that ARE FEWER than 165. So, we use property of normal distribution.

Half of data (50%) is left of mean, of which 34% fall within 1 standard deviation So the remaining would fall fewer than 165.

That is 50 - 34 = 16 - 0.15 = 15.85%

<u><em>Note:</em></u> since 99.7% fall within 3 standard deviation of mean, so 100 - 99.7 = 0.3 which is distributed in both sides, so 0.3/2=0.15 is subtracted

6 0
3 years ago
The last question for my test help
alisha [4.7K]

3 2/6

5/6*4=20/6

20/6= 3 2/6 OR 3 1/3

8 0
3 years ago
Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, ho
Shkiper50 [21]

Answer: 37

Step-by-step explanation:

87 x 2 = 174

248 - 174 = 74

74 divided by 2 = 37

So, therefore you answer will be 37

:))

6 0
2 years ago
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t
gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

<em>Represent price of Cake with C and Price of Pie with P</em>

C = 9 + P

Cakes sold = 8

Pies sold = 14

Total = \$402

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

8C + 14P = 402

Substitute 9 + P for C

8(9+P) + 14P = 402

Open the bracket

72 + 8P + 14P = 402

Collect Like Terms

8P + 14P = 402 - 72

22P= 330

Divide both sides by 22

P = \frac{330}{22}

P = 15

Recall that

C = 9 + P

C = 9 + 15

C = 24

<em>Hence, the price of the cake is $24 and the price of the Pie is $15</em>

7 0
3 years ago
How many times does 3 go into 9
AVprozaik [17]
3 go into 9 3 times
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to a and b please and thank you
    12·1 answer
  • The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro
    14·1 answer
  • What are the coordinates of the vertex of the graph of f(x)=2|x−3| ? Enter your answer in the boxes.
    9·2 answers
  • Which is the simplified form of the expression?
    14·1 answer
  • Write the equation of the line in point-slope form. PLEASE HELP!!
    6·1 answer
  • How do you solve this
    14·1 answer
  • What is x?????????????
    11·1 answer
  • What is the following product?
    14·1 answer
  • Find the least common multiple of the following numbers. 15: 30: 6: 8:
    15·2 answers
  • 3. Given this quadratic equation, 2x2 - x - 28 = 0,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!