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
makvit [3.9K]
3 years ago
14

i think of a number. if i divide the sum of 6 and the number by 3, the result is 4 more than one quarter of the number. find the

number
Mathematics
2 answers:
slega [8]3 years ago
6 0

Answer:

-12

Step-by-step explanation:

Let the number be A

Given if you divide the sum of six and the number A by 3 , the result is 4 more than 1/4 of A

That’s

6+A/3 = 4+1/4 of A

6+A/3 = 4+1/4 x A

6+A/3 = 4+A/4

Cross multiply

4(6 + A) = 3(4 + A)

Distribute

4 x 6 + 4 x A = 3 x 4 + 3 x A

24 + 4A = 12 + 3A

Subtract 24 from both sides to eliminate 24 on the left side

24 - 24 + 4A = 12 - 24 + 3A

4A = -12 + 3A

Subtract 3A from both sides so the unknown can be on one side

4A - 3A = -12 + 3A - 3A

A = -12

Check

6+(-12)/3 = 4 +(-12)/4

6 -12/3 = 4 -12/4

-6/3 = -8/4

-2 = -2

mojhsa [17]3 years ago
6 0

Answer: 24

Step-by-step explanation:

(6+x)/3=0.25x+4

6+x=(0.25x+4)(3)

6+x=0.75x+12

x-0.75x=12-6

0.25x=6

x=6/0.25

x=24

You might be interested in
"three times a number is greater than or equal to 12 and less than 21"
Diano4ka-milaya [45]

Answer:

The required inequality is: 12 ≤ 3x < 21

Step-by-step explanation:

We are given: three times a number is greater than or equal to 12 and less than 21

We need to answer following questions:

1) The inequality translated in numerical form

Let number = x

12 ≤ 3x < 21

2) Your work solving the inequality

We need to find value of x. Divide the inequality by x

4 ≤ x < 7

3) The solution graphed on a number line

It is shown in figure attached.

4) The solution in set notation

The set notation is: Considering x belongs to natural numbers N

{∀ x|x∈N, 4 ≤ x < 7}

5) The solution in interval notation

The interval notation is: [4,7)

because we have 4 less than equal to x and x is less than 7

8 0
2 years ago
before Christmas a story steals fake Christmas trees for $289 after Christmas they sell the same trees for $150 what is the appr
Katarina [22]
48% decrease :)

hope this helps
6 0
3 years ago
Please helppppppppppppppp fine x its high school geometry
Illusion [34]
First take triangle BDH. We know B is 46 degrees and D is 33 degrees. Since the angles of a triangle equal 180 we get
180 - 46 - 33 = 101 for H.
H is supplementary to x, so their sum is also 180. This gives 180 - 101 = 79.
So x is 79 degrees.
5 0
3 years ago
How do you solve this I need to solve for x and I also need 20 characters to send this so her you go
g100num [7]

Answer:Exact Form:

x

=

−

3

2

Decimal Form:

x

=

−

1.5

Mixed Number Form:

x

=

−

1

1

2

6 0
3 years ago
"A serving of fish contains 50 g protein and 4 g of fat. If protein has a caloric value of 4 kcal/g and fat has 9 kcal/g, how ma
evablogger [386]

Answer: 236 kcal

Step-by-step explanation:

Given : A serving of fish contains 50 g protein and 4 g of fat.

i.e. content of protein = 50 g

content of fat = 4 g

Also, The caloric value in protein = 4 kcal/g

The caloric value in fat = 9 kcal/g

Calories in 50 g  protein = (content of protein)x (caloric value in protein )

= 50g x 4 kcal/g = 200 kcal

Calories in 4 g fat=  (content of fat)x (caloric value in fat)

=4 g x  9 kcal/g =  36 kcal

Then, the total calories in the serving will be :Calories in 50 g  protein + Calories in 4 g fat

= 200 kcal+ 36 kcal =236 kcal

Hence, there are 236 kcal  in the serving.

7 0
3 years ago
Other questions:
  • Write the equation of a line with a slope of −2 and a y-intercept of 5
    5·1 answer
  • Help me solve this problem pleaseeeeee
    9·1 answer
  • Subtract the polynomials.
    14·2 answers
  • Why people hate math? And what describes people how they like math
    5·2 answers
  • Help please!! What is the answer?
    6·1 answer
  • Alex counted to 2400 by 6's beginning with 6. Matthew counted to 2400 by 4's starting with 4. How many of the numbers counted by
    11·1 answer
  • Simplify<br> 69 +39<br> 018<br> O 81
    5·2 answers
  • Help please
    6·1 answer
  • I answered the rest of my questions but this one is confusing me
    11·1 answer
  • Using the graph above determine the constant of proportionality​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!