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
emmasim [6.3K]
3 years ago
9

Find two numbers if their ratio is 4:7 and their difference is 123.

Mathematics
2 answers:
german3 years ago
8 0

Answer:

\large\boxed{-164\ and\ -287}

Step-by-step explanation:

x,y-\text{the numbers}\\\\x:y=4:7\to\dfrac{x}{y}=\dfrac{4}{7}\qquad(1)\\\\x-y=123\qquad\text{add y to both sides}\\\\x=123+y\qquad(2)\\\\\text{Substitute (2) to (1)}:\\\\\dfrac{123+y}{y}=\dfrac{4}{7}\qquad\text{cross multiply}\\\\7(123+y)=4y\qquad\text{use distributive property}\\\\(7)(123)+(7)(y)=4y\\\\861+7y=4y\qquad\text{subtract 7y from both sides}\\\\861=-3y\qquad\text{divide both sides by (-3)}\\\\-287=y\to\boxed{y=-287}

\text{Put the value of y to (2)}\\\\x=123+(-287)\\\\x=123-287\\\\\boxed{x=-164}

belka [17]3 years ago
4 0

Answer:

The two numbers are -164 and -287

They could also be 164 and 287

Step-by-step explanation:

The ratio of 2 numbers 4/7  

x/y = 4/7

Using cross products

7x =4y

Their difference is 123

x-y = 123

x = 123+y

Substituting in

7(123+y) =4y

Distribute

861 +7y = 4y

Subtract 7y from each side

861 +7y-7y = 4y-7y

861 = -3y

Divide each side by -3

861/-3 = -3y/-3

-287 = y

Now we need to find x

x = 123+y

x = 123+ -287

x = -164


The numbers could also be 164 and 287

The difference is 287-164 = 123

And the ratio is 164/287 = 4/7

You might be interested in
Please Help w/ These Math Problems, Thanks!
ElenaW [278]
3. is B and C
4. Yes
1. C
4 0
2 years ago
All I have to do is fill in the blanks and I'm a bit confused on what to do. Could someone please help!!
lbvjy [14]
 Jeremy and Randell are brothers and each are trying to raise money for summer camp.
To help Jeremy raise money, his parents told him he could wash each of their cars once a week for $20.00 each. He has already earned $640.00. The football camp that he wants to attend costs $1,469.00.
To help Randell raise money, his parents told him he could mow the grass for them and both sets of grandparents once every 2 weeks and earn $28.00 for each lawn he mows. He has already earned $728.00. The lacrosse camp that he wants to attend costs $1,701.00.
If Jeremy and Randell each earn enough money to attend the camps of their choice, then from this point on (randell) needs to complete (idk what would got here) more chores than(jeremy)

is it asking you to fill in the blanks with their names if so i think it would be this.
6 0
3 years ago
I tried solving it but I everytime I follow how its suppose to go, I dont get the right answer.
77julia77 [94]

Answer:

B. 64.9

Step-by-step explanation:

A graphing calculator or spreadsheet can fit these points with an exponential curve. An appropriate answer for x=14 is about 73.3.

_____

<em>Comment on the answer choices</em>

The closest answer that makes any sense is 64.9. Often these problems are worked by someone who uses inappropriate rounding of intermediate results. I haven't found the magic set of numbers to get 64.9. About the lowest I can get is 66.7, using 0.0037·e^(0.7x).

8 0
2 years ago
5 positive integers are arranged in ascending order, as follows:
Helga [31]
The answer is: 10.

Explanation: The numbers are in order by the median/lowest to highest so in that case X wouldn't be 7 because the X would have been next to the 7 not on the other side of the 10.
4 0
2 years ago
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
Andrei [34K]

Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

6 0
3 years ago
Other questions:
  • Estimate the sum to the nearest hundreds 166+427
    15·2 answers
  • Find the midpoint of the segment from Point A (1, 0.5) to Point B (0.5, 2)
    7·1 answer
  • Anibal, Daniel, Oscar, and Thomas,
    5·1 answer
  • Passing through (-6,-1) and parallel to y=-2/3x +1
    15·1 answer
  • Finding circumference.
    8·2 answers
  • Question 1 of 10
    9·1 answer
  • If 5 candy bars cost 3.00 , how much will 2 candy bars cost
    7·1 answer
  • Y= |x – 2| what is the domain and range
    14·2 answers
  • Solve the equation: 2 (x + 2x) - 36<br> A) X=-18<br> B) x = 18<br> cx = -6<br> D) x = 6
    14·1 answer
  • Let n be equal to 156% of 70. Which of the following proportions is true?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!