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
uysha [10]
3 years ago
9

A certain number is increased by 30 and the result is divided by two. The number obtained is three times the original number. Fi

nd the number.
Plss show working​
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

x = 6, <em><u>PLEASE MARK AS BRAINLIEST</u></em>

Step-by-step explanation:

<em>Let this number be x: </em>

<em>1) Increase x by 30 = x + 30</em>

<em>2) Divide the result by 2 = </em>\frac{x+30}{2}<em></em>

<em>3) The number obtained is 3 times the original number = </em>

<em></em>\frac{x + 30}{2}  = 3x<em></em>

<em></em>{x + 30} = 6x<em></em>

<em></em>30 = 5x<em></em>

<em></em>x = \frac{30}{5}<em></em>

<em></em>x = 6<em></em>

                             

You might be interested in
The container that holds the water for the football team is 2/9 full. After pouring in 12 gallons of water, it is 2/3 full. How
Luden [163]

Answer:

27 gallons

Step-by-step explanation:

Our equation is: \frac{2x}{9} +12 = \frac{2x}{3}

What do we need to find: x

We need to first find x, so lets find x first.

12 =  \frac{2x}{3}  -  \frac{2x}{9}

=> 12 = \frac{6x}{9} - \frac{2x}{9}

=> 12 = \frac{4x}{9}

=> x = 27

Lets go back to our equation.

\frac{2(27)}{9} +12 = \frac{2(27)}{3}

We are going to simplify this before solving this. We are going to get:\frac{54}{9} +12 = \frac{54}{3}

=> 18 = 18

Therefore, we found x and we checked that our x value is correct. Now, we need to find how many gallons can the container can hold.

\frac{3x}{3} = a                                                           [a = gallons can the container hold]

=> x = a

Basically that means the container can hold 27 gallons of water.

Please give me brainliest if this is helpful ;D

4 0
3 years ago
Read 2 more answers
At what point do the lines y= 2x + 3 and y = 5x - 9 intersect? ​
QveST [7]

Answer:

(4,11)

Step-by-step explanation:

y=2x+3

y=5x-9

the first equation is equal to the second equation so

2x+3=5x-9

put like terms together

2x-5x= -9-3

-3x= -12

divide both sides by -3

.•.x=4

now, use the value of x to find the value of y like this:

y=2x+3 (x=4)

y=2(4)+3

y=8+3

y=11

therefore, the two lines intersect at the point (4,11)

4 0
3 years ago
Which answer describes the simpler problems that could be used to solve this story problem? Jackson read some books over the sum
Fittoniya [83]
The answer should be c
5 0
3 years ago
The choices are
Artemon [7]

Answer:

The answer is Perpendicular

7 0
3 years ago
Will buys a large soda bottle that contains 40 fluid ounces of soda. If the serving size is 8 fluid Ounces per person, how many
Nana76 [90]

Answer:

5 friends

Step-by-step explanation:

Assuming that each friend gets a serving size, we can simply divide the total number of soda, 40, by the serving size, 8, to get 5.

4 0
3 years ago
Other questions:
  • What is the range for the graph shown?
    6·2 answers
  • Alicia drove at a constant speed and traveled 182.4, point, 4 miles in 3 hours. How many miles would Alicia travel in 11 hours a
    6·2 answers
  • Someone help me with c ._.​
    9·1 answer
  • Solve the following question
    9·2 answers
  • Write and equation for each situation. Solve the equation.
    9·1 answer
  • A item is regularly priced at $73 . Manuel bought it at a discount of 45% off the regular price.
    9·2 answers
  • Math Help Please! (Show your wok!)
    6·2 answers
  • Find the slope and y-intercept<br> and write the equation.<br> (-98, 22), (0, -48)<br> m =<br> b=
    9·1 answer
  • HELP PLEASEEE ILL MARK BRAINLIEST questions are in the pic
    5·2 answers
  • Toy It Examine the worked problem and solve the equation. 4 4 1 (x) 1 = 9 3 3 1 1 + 3 3 4 3 :9+ 3 3 28 The solution is x=
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!