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
sleet_krkn [62]
3 years ago
7

When A is added to twice B, the result is 21. When B is added to twice A, the result is 18. What are the two numbers?

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0
When A is added to twice B, the result is 21
a + 2b = 21
When B is added to twice A, the result is 18
b + 2a = 18
From the first equation;
a = 21 - 2b
Substitute the value of a in the 2nd equation
b + 2(21 - 2b) = 18
Simplify
b + 42 - 4b = 18
Collect like terms
b - 4b = 18 - 42
- 3b =  - 24
Divide both sides by - 3
b =  \frac{24}{ - 3}
b = 8
Substitute the value of b in the first equation
a + 2b = 21 \\ \\  a + 2(8) = 21
a + 16 = 21
Simplify
a = 21 - 16 \\  \\ a = 5
Therefore, A is 5 and B is 8. Hope I helped? ☺️
You might be interested in
Please help I can’t figure it out
Andreyy89

Answer: -4

Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.

The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.

4 0
1 year ago
If there are 48 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
kaheart [24]

Answer:

12 to 8, 6 to 4

Step-by-step explanation:

4 0
2 years ago
What is 1/9 of a quart
Agata [3.3K]
Im guessing by my predicition that it will be 0.11 that will continue
7 0
3 years ago
i beg of yall a crown, 5 stars, a heart and a ty comment to answer my questions iv posted on my profile, ill be posting more too
Over [174]

Answer:

I would say the answer is $5.00/lb

Have a wonderful day!

6 0
2 years ago
What is the exact volume of a cylinder that has a height of 1.8 ft and a radius of 6.1 ft?
lozanna [386]
Cylinder area=height times area of base (area of base=area of circle)

height =1.8
radius=6.1
area of circle=pi times r^2


area of circle=pi times 6.1^2=37.21π
times height

1.8 times 37.21π=66.978π

volume=66.978π ft^3
3 0
3 years ago
Other questions:
  • What is the inverse of y = 2x^2 – 8?
    7·1 answer
  • The perimeter of a rectangle is 78 m the width is 7 m less than the length find the length and the width of the rectangle
    6·2 answers
  • If i have a 20 min break and it 4:12 how much time do i have left
    8·2 answers
  • As a diameter of a circle increases the radius will
    5·2 answers
  • PLEASE HELP ME/
    13·1 answer
  • )) Solve for z.<br> z + 34 = 99<br> Z =
    11·1 answer
  • What is the equation of the line that passes through (1, 2) and (8,9) in slope-intercept form?
    7·1 answer
  • 3) A beehive contains 2.16 liters of honey. If the bees consume 0.12 liters of honey
    7·1 answer
  • I am having a hard time on solving this question x4−85=−92 does someone know how to explain it?
    9·2 answers
  • Which point represents the unit rate​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!