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
sammy [17]
3 years ago
5

The ratio of two numbers is $2:3$. when 6 is subtracted from the smaller of the two numbers and 7 is added to the larger of the

two, the new ratio is $2:7$. what was the smaller of the two numbers before 6 was subtracted from it
Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

  14

Step-by-step explanation:

Let the smaller and larger numbers be represented by S and L, respectively.

  S/L = 2/3 . . . . the original ratio of the numbers

  3S = 2L . . . . . multiply by 3L

__

  (S-6)/(L+7) = 2/7 . . . . the new ratio of the numbers

  7(S-6) = 2(L+7) . . . . . multiply by 7(L+7)

  7S -42 = 2L +14

Using the expression for 2L from the first ratio, we can substitute to get ...

  7S -42 = 3S +14 . . . . substitute 3S for 2L

  4S = 56 . . . . . . . . . . .add 42-3S

  S = 14 . . . . . . . . . . . . . divide by 4

The original smaller number was 14.

You might be interested in
Use unit rate to find the unknown value: 2/8 = 7/? <br> 1. 56<br> 2. 4<br> 3. 28<br> 4. 24
bezimeni [28]

Answer:

I believe the awnser is 3

4 0
3 years ago
Graph the point (4, -1) on the coordinate plane below.<br>​
dimulka [17.4K]
See the blue dot in the attached image.



First, find the x value on the coordinate plane. The x value is the first number in the point coordinates, so in this case, it is 4. Move to the right 4. (If it was negative, you would move to the left.)

Then, find the y value, which is the second number of the coordinates. In this case, it is -1, so move down 1. (If it was positive, you’d move up.)

Now, mark this point. This is (4, -1).

4 0
3 years ago
Read 2 more answers
a housepainter mixed 5 gallons of blue paint with every 9 gallons of yellow paint in order to make a green paint . which ratio o
Sedbober [7]
The ratio for this question is 5:9.

7 0
3 years ago
Read 2 more answers
Bottles of water are on sale!
amm1812
Yes u did get a good deal i think
7 0
3 years ago
Plsss help ASAP !! giving the brainlest answer to whoever can help me out?? plsss
timofeeve [1]

Answer:

The 2nd one

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A positive number with divisors besides 1 itself is called_____
    9·2 answers
  • Which following fractions is equivalent to 0.45
    10·2 answers
  • If three points are coplanar, they are also collinear true or false​
    14·2 answers
  • Se deposita 4000 soles a una tasa de interés del 0,8% quincenas .¿Que interes producirá en cinco quincenas?
    12·1 answer
  • PLZZZ HELP 30 POINTS!!!!!!!
    9·1 answer
  • What is the length of Vz?<br> 2 units<br> 6 units<br> 8 units<br> 10 units
    15·1 answer
  • 25% of 560 is what number
    10·2 answers
  • What is the area of the object above? A. 90 sq cm B. 104 sq cm C. 140 sq cm D. 98 sq cm
    10·1 answer
  • Please I need help immediately ​
    8·1 answer
  • What is the total surface area of the figure below? Only enter the number part of your answer. Do not include the units.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!