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
damaskus [11]
2 years ago
10

The sum of three numbers is 11 . The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is

44. The difference between 4 times the first number and the second number is 10. Find the three numbers.
Mathematics
1 answer:
Assoli18 [71]2 years ago
4 0

Answer:

4, 6, 1

Step-by-step explanation:

We can solve this problem using a system of equations:

1) a + b + c = 11

2) 2a + 5b + 6c = 44

3) 4a - b = 10

First, we can substitute the value of b from equation #3 into equation #1:

b = 4a - 10

a + (4a - 10) + c = 11

5a - 10 + c = 11

5a + c = 21

c = 21 - 5a

Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:

2a + 5(4a - 10) + 6(21 - 5a) = 44

2a + 20a - 50 + 126 - 30a = 44

-8a + 76 = 44

-8a = -32

a = 4

b = 4a - 10 = 4(4) - 10 = 6

c = 21 - 5a = 21 - 5(4) = 1

You might be interested in
7th grade homework!<br> Probability quick Check<br> Please answer as many as you can/ want to
algol [13]
Number 9 is 36 because there are 18/40 who feel safe, so it multiplied would be 36. C
7 0
3 years ago
Read 2 more answers
Select one of the factors of x2y3 − 11x2y + 6y2 − 66
EleoNora [17]
We try to factor by maybe grouping
experiment

(x²y³-11x²y)+(6y²-66)
factor
x²y(y²-11)+6(y²-11)
undistribute (y²-11) from each
(x²y+6)(y²-11)
we can force a factor out of the 2nd group in the form of a difference of 2 perfect squares
(x²y+6)(y-√11)(y+√11)
either of those 3 are factors
5 0
4 years ago
Read 2 more answers
Rotate rectangle ABCD 90ºccw about the origin. What<br> are the image coordinates?
bazaltina [42]

Answer:

Step-by-step explanation:

1. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

2. The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

3. Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...

7 0
3 years ago
Plsss helppp its worth 20 points
Mazyrski [523]

Answer:

a. sides BC & EF

b. <A & <D

2a. A / B, not that sure

8 0
2 years ago
Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each mo
Mnenie [13.5K]

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

100*3 + 100*2 + 160*1 = 660

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

Another example of a problem in which a person has to choose between two packages is given in brainly.com/question/10693932

6 0
3 years ago
Other questions:
  • What is the length of segment XY?​
    5·2 answers
  • at the pet fair,darlene's dog weighed 5 times as much as leah's dog.together the dog weighed 84 pounds. how much did each dog we
    10·2 answers
  • mum spent 2/3 of her money and put 1/4 of the remainder in the bank. she put $20 in the bank. How much did she start with?
    14·1 answer
  • 7. A box contains 5 balls. Two are numbered '7', two are numbered '8', and one ball is numbered '9'.
    11·1 answer
  • The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the
    6·2 answers
  • how much is 14.28571428571428571428571428571 in numbers that don't contain decimals ( this doesnt have anythinng to do with scho
    7·1 answer
  • What is a axe on a graph?
    9·2 answers
  • Help me on both of these
    5·1 answer
  • Cheryl kept track of the changes in temperature one night. At 7:00 P.M. the
    15·1 answer
  • A triangle has vertices at (2, 3), (-4, 5), and (-3, 4). What are the coordinates of the vertices
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!