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
g100num [7]
3 years ago
12

How many solutions are there to the equation 10= a + b + c with each of a, b, and c a whole number greater than or equal to zero

?
Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
If <em>a</em> is fixed and <em>b</em>,<em>c</em> are unknowns then the equation <em>b</em>+<em>c</em>=10-<em>a</em> has 11-<em>a</em> solutions. They are pairs (b,c): (0,10-a), (1,9-a), (2,8-a), ... (10-a,0). As <em>a</em> runs from 0 to 10 we have total number of solutions (11-0)+(11-1)+...(11-1)=11+10+...+1=(1+11)*11/2=66.
You might be interested in
Find the 82nd term of the following sequence.<br><br> -32, -27, -22, ....
My name is Ann [436]
The 82nd term for the sequence would be -4
6 0
2 years ago
Davey built a bookshelf 36 in. long. Can the shelf hold a set of encyclopedias if there are 24 books and each book averages 5/4
grin007 [14]
Yes, the 36" shelf can hold all 24 books.  As 5/4=1.25" meaning, you take 1.25X24=30".  So 24 books only take up 30 inches of a 36 inch shelf.

5 0
3 years ago
=
ivann1987 [24]

9514 1404 393

Answer:

  • large: 55 lb
  • small: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

  x + y = 85 . . . . . combined weight of a large and small box

  70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

  (70x +50y) -50(x +y) = (5350) -50(85)

  20x = 1100 . . . . simplify

  x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

  55 +y = 85

  y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.

4 0
2 years ago
Solve the following equation <br> 4(3-2x)=15
bonufazy [111]

Answer:x= -3/8

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Factor the expression completely.<br> 8x -12
maxonik [38]

Answer:

x=1.5

Step-by-step explanation:

You divide 8 by 8 and then -12 by 8. And then you get x=-1.5 because 8 divided by 8 is zero and -12 divided by 8 is -1.5

8 0
3 years ago
Other questions:
  • 4 to the power of 5 × 3 to the power of 2​
    6·1 answer
  • Draw a number line -5through 5 and mark 0≤x≤2
    6·1 answer
  • In this equation which number is the divisor ? .48 \. .4=1.2
    11·1 answer
  • #16 What are the coordinates of S?
    10·1 answer
  • Terance galloped 20 kilometers in 40 minutes. Then he trotted 6 kilometers in 120 minutes. By how much did his first rate exceed
    7·1 answer
  • There are 3 choices of frozen yogurt left in the freezer, strawberry, vanilla, and blueberry. The probability of choosing strawb
    7·1 answer
  • Help me plz will mark brainliest
    15·1 answer
  • F(x) = x2<br> What is f(x) + f(x) + f(x)?
    10·1 answer
  • Use the drawing tools to form the correct answer on the pro
    8·1 answer
  • Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amou
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!