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
BartSMP [9]
3 years ago
14

The difference of two numbers is 44 1 /2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/

14 . Find the numbers.
The numbers are ___,____ or ___,____

I've spent 4 hours on this problem.
Mathematics
1 answer:
pshichka [43]3 years ago
8 0
Let’s call the numbers x and y. Let’s also say that x is the smaller of the two. Since their difference (the answer you get when you subtract is 44 and a half) we know that y-x=44.5

Next we are told that if the smaller increases 7 times (that means 7x) their difference would be 10 3/14. Let’s write that as a fraction. It is 14x10+3 over 14. That is 143/14.

So this means y-7x=143/14.

We have two equations and two unknowns (a system of equations). We write one over the other and subtract them to get:

y-x=44.5
y-7x=143/14

Subtracting yields:
(y-y)+(-x - - 7x) = 44.5 - 143/14
6x = (89/2) - (143/14)
6x= 623/14 - 143/14
6x=480/14
X= (480/14)(1/6)
X=80/14
x= 40/7 = 5 5/7

Since y-x=89/2
We get y - 40/7 = 89/2
Y = 40/7 + 89/2
Y = 80/14 + 623/14
Y = 703/14 = 50 3/14
You might be interested in
When using the indirect method, which of the following would be included in the net cash flows from operating activities section
Blizzard [7]
When using the indirect method, Payment of interest and expenses would be included in the net cash flows from operating activities section of a cash flow statement.

Answer: C) or the third option.
4 0
3 years ago
The area of a rectangular classroom is given by the trinomial a - 4a - 21. The length of the rectangle is a+3. What is the expre
djverab [1.8K]
I am assuming you wrote the problem wrong. Is it a^2?
A^2 -4A-21=0
(A-7)(A+3)=0
A=7 A=-3, ignore the negative number because it doesn't make sense if you plug in for a.
length=a+3=7+3=10
Width=7=a
3 0
3 years ago
Record the following data in the circle graph 25% of the people like science the best ,half of the people like math the best, 25
uysha [10]

Answer:

ok so it would be square root 2

Step-by-step explanation:

4 0
2 years ago
Which hundredth is 8.275 beetween
bonufazy [111]

Answer:

the 7 is in the hundredths place

Step-by-step explanation:

hope this helps :)

8 0
3 years ago
Read 2 more answers
Calculate the area of the irregular polygon shown below:
Vladimir79 [104]
The answer is C. 3×4 = 12. There are two therefore 50-24 = 26.
7 0
3 years ago
Read 2 more answers
Other questions:
  • The __[_blank_]__ of two sets A and B is the set of elements that are present in A, in B, or in both A and B.
    10·1 answer
  • Use a system of equations to solve this problem.
    13·1 answer
  • Which shapes can the composite figure be divided into to find the area?
    10·2 answers
  • Do the quotients always have the same number of digits when dividing 3 digit numbers by 1 digit numbers?
    9·2 answers
  • 7. Han's cell phone plan costs $200 to start. Then there is a $50 charge each month.
    14·2 answers
  • Will mark brainliest to best answer!
    7·1 answer
  • What is the area of the following circle r=2
    12·1 answer
  • Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning
    7·1 answer
  • Part A: The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the a
    12·2 answers
  • For bicycle repairs,Lindsey charges a flat fee of 25.95 plus 18.20 per hour.How much would lindsey charge for a job that took 4.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!