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
VMariaS [17]
3 years ago
8

If 20 percent of 40 percent of a number is 10 greater than half the number, what is the number?

Mathematics
2 answers:
aalyn [17]3 years ago
8 0
0.2*0.4n = 0.5n + 10

0.08n = 0.5n + 10

-0.42n = 10

n = 10/-0.42

n = -500/21

nirvana33 [79]3 years ago
6 0

Let the number be x.

40% of the number is = (x) (\frac{40}{100} )

20% of 40% of the number is = (x)(\frac{40}{100} )(\frac{20}{100} )

= (x)(0.4)(0.2)

Given 20% of 40% of the number x is 10 greater than half the number x.

Half the number x = \frac{x}{2}

So we can write the equation as ,

(x)(0.4)(0.2) = \frac{x}{2} +10

(x)(0.08) = (0.5x)+10

(0.08x) = (0.5x) +10

Now to find x, we will have to move (0.5x) to the left side by subtracting it from both sides. We will get,

(0.08x) -(0.5x) = (0.5x) -(0.5x) +10

(0.08x) - (0.5x) = 10

(-0.42x) = 10

Now to find x we will move (-0.42) to the right side by dividing it to both sides.

\frac{(-0.42x)}{(-0.42)} = \frac{10}{(-0.42)}

x = \frac{10}{(-0.42)}

x= -\frac{(10)(100)}{42}

x=- \frac{1000}{42}

We will have to simplify 1000 and 42 by dividing the numerator and denominator by a common factor of it. 2 is a common factor of 1000 and 42.

So by dividing 1000 and 42 by 2 we will get,

x = - \frac{500}{21}

We have got the required answer here. Option A is the correct option here.

You might be interested in
What is 0. 72 [REPEATING] as a fraction in simplest form?
Nostrana [21]

The answer is 13/18 because it is congruent to 0.7(2).

6 0
3 years ago
Plz help me answer this
kow [346]

Answer:

140

Step-by-step explanation:

Solve 40% of 350.

8 0
3 years ago
Read 2 more answers
Lelia has 5 1/4 hours of homework to do over the weekend. She does 2/3 of her homework on Saturday so sh can get it out of the w
dedylja [7]
Well 5 1/4 hours is 5 hours and 15 minutes and 2/3 of 5 hours and 15 minutes or 315(5*60+15) is 210
hope it helped
5 0
3 years ago
Solve for X<br> x/7 = -8<br> Please help!!!<br> Worth 20 points!!!<br> I need an answer ASAP!!!
Vikentia [17]

Answer:

x = -56

Step-by-step explanation:

x/7 = -8

Multiply each side by 7

x/7 *7 = -8*7

x = -56

8 0
3 years ago
F(x)= 2/3x -6 what is the value of f(-9)
STALIN [3.7K]

f(-9) means x is -9

Replace x with -9 and solve:

2/3(-9) - 6

Simplify:

-6 - 6 = -12

f(-9) = -12

3 0
3 years ago
Other questions:
  • The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook
    10·1 answer
  • On the lines below write a word problem that involves division and would have a correct answer of 4/7
    10·1 answer
  • Write y=-4/5x-1 in standard form equation
    14·1 answer
  • If the sum of four consecutive numbers is n, what is the first one?
    14·1 answer
  • How do i figure it out
    13·1 answer
  • A city cab charges a fare per mile traveled . the graph shows the fare for the number of mile traveled
    6·1 answer
  • I need help on both of these questions 5/12 + 3/5 and 7/9 - 1/2 please
    8·1 answer
  • What is the answer to the problem 3(2x-5)-4(x-3)=7
    9·1 answer
  • in a mix of red and white pebbles in a bag in the ratio of 3 to 7. Find the probability that if 3 pebbles are chosen from the mi
    7·1 answer
  • Help me please! ill give brainliest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!