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
Witch number produces a rational number when multipled by 0.25
Hunter-Best [27]

Answer:

1

Step-by-step explanation:

.25 is already a rational number as it equals 25/100 and 1/4 simplified

4 0
3 years ago
NO LINKS! Please help me with this problem. ​
Vedmedyk [2.9K]

#1

\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}

\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}

\\ \rm\Rrightarrow WX/2=10

\\ \rm\Rrightarrow WX=20

Again

#2

\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}

\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}

\\ \rm\Rrightarrow FG=10

7 0
2 years ago
Read 2 more answers
The graph only goes up to 10 FYI
Otrada [13]

Answer:

This is the first line.

point one (0,-2)

point two (5,-5)

This is the second line.

point one (0,6)

point two (1,7)

3 0
3 years ago
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to
Serhud [2]

Answer:

either of ...

• quadrant 1 only

• quadrant 1 and 4 only

Step-by-step explanation:

Time since the storm started is always positive. The values of x are positive in quadrants 1 and 4.

Temperatures in a blizzard are not always terribly cold. Some of the coldest snowstorms on record have temperatures in the range of +5 °F to +18 °F. These values are negative temperatures on the Celsius scale, so the quadrant used for plotting them will depend on the temperature scale you choose.

While temperatures in Alaska can be well below zero (on either the F or C temperature scales), the air usually has to warm up to the range indicated above before it can snow. US temperatures are generally reported using the Fahrenheit scale, but weather records are often kept using the Celsius scale.

I would be inclined to choose "Quadrant 1 and 4 only", but arguments can be made for "1 only" and "4 only" as suggested above.

8 0
3 years ago
Determine the input value for which the statement f(x) = g(x) is true.
Naya [18.7K]

Answer:

(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻(╯°□°)╯︵ ┻━┻

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Christian sold tickets to game. Good seats were $5 each poor seats cost $2 each. 210 people attended and paid $660. Write a syst
    9·1 answer
  • Pls help I’m not good at fractions
    15·2 answers
  • Why is the APR considered the most important factor to be mindful of in a car loan?
    15·2 answers
  • I need the equation for 29 is 6 more then k
    5·2 answers
  • A two-day moving truck rental from Best Rentals costs $60 and $0.35 per mile driven. A two-day moving truck rental from Easy Mov
    13·2 answers
  • Find coordinates of point P along directed line segment AB, from A (8,0) to B (3,-2), so that the ratio of AP to PB is 1 to 4
    6·1 answer
  • Solve the equation 6+2x=20 <br> 10 points!!!
    13·1 answer
  • I need helpp plz I will mark brainliest and i will follow but plz help me​
    12·2 answers
  • Help please and thank you no bots please
    13·1 answer
  • 50 PTS!!A right triangle has a leg measuring 16in. And 28in.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!