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
ziro4ka [17]
3 years ago
6

Find two numbers, if their sum is 49 and their difference is 1/2 .

Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

x=24\frac{3}{4}\\ y=24\frac{1}{4}

Step-by-step explanation:

Let the two numbers be x and y

So we have:

x +y = 49\\x-y=\frac{1}{2}

using the elimination method, add the two equations together:

2x=49\frac{1}{2} \\2x=\frac{99}{2}

solve for x:

x=\frac{99}{4}\\x=24\frac{3}{4}

substitute our value for x back into the first equation we made:

x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}

therefore,

x=24\frac{3}{4}\\ y=24\frac{1}{4}

You might be interested in
Find the measures of 21 and 2
KatRina [158]
Measure 1 would be 59 degrees (180-121)
Measure 2 would be 121 degrees (vertical angle theorem)
6 0
2 years ago
What is the height to 315 f the length is 7 and the width 4
Pachacha [2.7K]

the height is 11.25 because 7×4=28×11.25=315

8 0
3 years ago
Read 2 more answers
Guys! Help me find how much of this circle is shaded!
Alona [7]

Answer:

The answer is 1/10

Step-by-step explanation:

Let us take the Shaded region be x

So,

2/5 + x = 1/2

Now, Solve for x

x + 2/5 = 1/2

5x + 2/5 = 1/2

2(5x + 2) = 5(1)

10x + 4 = 5

10x + 4 – 4 = 5 – 4

10x= 1

10x/10 = 1/10

x = 1/10

Thus, The value of x is 1/10

<h3><u>For</u><u> Verification</u>;</h3>

2/5 + x = 1/2

2/5 + 1/10 = 1/2

2 × 2/5 × 2 + 1/10 = 1/2

4/10 + 1/10 = 1/2

4 + 1/10 = 1/2

5/10 = 1/2

1/2 = 1/2

L.H.S = R.H.S

Hence Verified!

<u>-TheUnknownScientist</u><u> 72</u>

6 0
2 years ago
-1/2x-1/4(10x-9)=-(-7/4x+2)-x
Tems11 [23]

Answer:

x= 17/15

Step-by-step explanation:

−1/2 x- 1/4 (10x−9)=−( -7/4 x+2)−x

8 0
2 years ago
Read 2 more answers
6.
larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B.  Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have  number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as  x + \frac{x}{100}\times10 which is equivalent to \frac{11x}{10}.

<u>A.</u>

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like \frac{10}{12}  = 0.84 . ∴ Every month Population will increase by a factor of 0.84%.

<u>B.</u>

In every 3 months: We have , 12 months in a year , in order to check for every 3 months  \frac{12}{3} = 4 and Now, Population increase in every 3 months is \frac{10}{4}  = 2.5.  ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0
3 years ago
Other questions:
  • How do I solve this equation
    10·2 answers
  • If Mark gets a job that earns $10 an hour, and he works 40 hours per week for a year, what will his yearly income be? Question 5
    6·2 answers
  • Expression equivalent to 17s-10+3(2s+1)?
    11·1 answer
  • In an effort to estimate the mean dollars spent per visit by customers of a food store, the manager has selected a random sample
    15·1 answer
  • What is the range of first 4 even numbers greater than 7?
    11·1 answer
  • Extra p!<br> Someone help me, Thanks!!
    9·2 answers
  • Which choice shows 14 •(8 . 2) correctly rewritten using the associative property and then correctly simplified?
    11·1 answer
  • What is<br> as a decimal?<br> 4/11
    6·2 answers
  • Dominic rented a car for the weekend. When he started driving on the highway he noticed the odometer had already logged 18,115 m
    9·1 answer
  • A box of stuffing costs $1.99 for 16 oz. Find the unit cost, round to the nearest hundredth.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!