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
nignag [31]
3 years ago
12

When 10 is added to half the sum of a number and 8, the result is 30. What is the number

Mathematics
2 answers:
STatiana [176]3 years ago
5 0
Even though we don't know what the number is, we have to
give it some name, so that we have something to work with. 

Now, 16 out of every 19 people will call the number ' X '. 
But I like to call it ' M ' instead, for 'Mystery number'.

The mystery number . . . . .  M
The sum of the number and 8 . . .  M + 8
Half of that sum . . . . . . . . . . . . . . (1/2)(M + 8)
10 added to that sum . . . . . . . . .  (1/2)(M + 8) + 10

You said that the result is 30, so I can write:

                                       (1/2) (M + 8)  + 10  =  30

Now, subtract 10
from each side:              (1/2) (M + 8)           =  20

Multiply each side by  2 :         M + 8            =  40   

Subtract  8 from
each side:                                 M                  =  32 .


Check to see if that's correct.
Take 32, and do everything to it that the question says:

The number . . . . . . . . . .  32  ?
The sum of the number and 8 . . .  32 + 8 = 40
Half of that sum . . . . . . . . . . . . . . (1/2)(40) = 20
10 added to that sum . . . . . . . . .         20 + 10  =  30

You said that the result is 30, and by golly IT IS !
So the mystery number is really 32.
yay !


Mekhanik [1.2K]3 years ago
4 0
10 + ( x+8 )/2 = 30

multiply all by 2
20 + ( x+8 ) = 60
x + 28 = 60
x = 32
You might be interested in
Solve the system for x and y -3x+8y=103 -5x-8y=-255
Romashka-Z-Leto [24]

9514 1404 393

Answer:

  (x, y) = (19, 20)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (-3x +8y) +(-5x -8y) = (103) +(-255)

  -8x = -152

  x = 19 . . . . . . . divide by -8

Substituting into the first equation, we have ...

  -3(19) +8y = 103

  8y = 160

  y = 20

The solution is (x, y) = (19, 20).

3 0
3 years ago
Help plis! Someone I need help with this plis
ipn [44]

Answer:

I think the answer is B

4 0
2 years ago
Twenty six thousandths in numerical form
Andrew [12]

Answer:

0.026

Step-by-step explanation:

Twenty-Six = 26 ( But for simplicity in the Next Step write it as 26.)

  • Tenths means to move the Decimal Point 1 Place Left
  • Hundredths means to move the Decimal Point 2 Place Left
  • Thousandths means to move the Decimal Point 3 Place Left

Then Twenty-Six Thousandths = 0.026

8 0
1 year ago
Read 2 more answers
Pls help<br> With thissss
Grace [21]

Answer:

Ion know lol

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).<br> What is the value of x?
Misha Larkins [42]

9514 1404 393

Answer:

  x = 14

Step-by-step explanation:

The sum of angles in a triangle is 180°:

  ∠O +∠P +∠Q = 180°

  (2x -5)° +(3x -8)° +(10x -17)° = 180°

  15x -30 = 180 . . . . . divide by °, collect terms

  x -2 = 12 . . . . . . . . . divide by 15

  x = 14 . . . . . . . . . . . .add 2

3 0
2 years ago
Other questions:
  • Fernando gave Maria the following puzzle: I am thinking of a number. I divide it by 3. Then I divide the result by 5. The final
    14·2 answers
  • 15 points IF ANY1 HELPS ASAP PLZ
    8·1 answer
  • What is the answer I need help
    11·1 answer
  • A line contains the points (3, –2) and (–6, –8). Write the equation of the line using point-slope form.
    12·1 answer
  • What is 6.30054 rounded to the nearest thousandth?
    14·2 answers
  • What is the area that lies between z=-0.29 and 0.29
    8·1 answer
  • The graph shows a proportional relationship. Which equation matches the
    7·1 answer
  • Can someone help me with question 19 and 21 please?
    14·1 answer
  • 0.9, 0.99, 0.09, 0.91, from least to greatest
    7·1 answer
  • What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are co
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!