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
Artist 52 [7]
2 years ago
10

How many solutions are there to the equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … (

a) There are no other restrictions. (b) xi ≥ 3 for i = 1, 2, 3, 4, 5, 6 (c) 3 ≤ x1 ≤ 10 (d) 3 ≤ x1 ≤ 10 and 2 ≤ x2 ≤ 7
Mathematics
1 answer:
prohojiy [21]2 years ago
8 0

Answer:

The equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … Will have:

(a) 6 solutions where there are no other restrictions.

(b) 4 Solutions for xi ≥ 3 for i = 1, 2, 3, 4, 5, 6(x3 + x4 +x5 + x6 = 25)

(c) 4 Solutions for 3 ≤ x1 ≤ 10

( x3 + x4 + x5 + x6 = 25)

(d) 5 Solutions for 2 ≤ x2 ≤ 7

Step-by-step explanation:

The equation have 6 unknown variables . This means it will have 6 solutions when no condition is imposed as in (a) above. The number of unknown variables in the equation will give the numbers of solutions

When the conditions are imposed, the numbers of unknown variables will give the number of solutions.

In (b) and (c), the equation will reduce to x3 + x4 +x5 + x6 = 25) and the unknown variables are 4, giving 4 solutions

In (d), the equation will reduce be 5 unknown variables(x2 + x3 + x4 +x5 + x6 = 25) and the solution is 5

You might be interested in
PLEASE HELP ASAP PLEASE THANK YOU
11111nata11111 [884]

Answer:

what grade is this

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
HELPPPPPPPPPPPPP Me cause me stuck
Sergio [31]

Answer:

x = 109°

Step-by-step explanation:

x° is 37° + 72°, due to exterior angle property.

so x° = 109°

3 0
2 years ago
Steve sold 36 fruit baskets for a school fundraiser. Evie sold 25% of the number of baskets that Steve sold. How many fruit bask
xeze [42]

Answer:

9 fruit baskets.

Step-by-step explanation:

Given:

Steve sold 36 fruit baskets for a school fundraiser.

Evie sold 25% of the number of baskets that Steve sold.

<u>Question asked:</u>

How many fruit baskets did Evie sell?

Solution:

<u>As given that Evie sold 25% of the number of baskets that Steve sold.</u>

Number of baskets sold by Evie = 25% of 36

                                                      =\frac{25}{100}\times36\\\\  =\frac{900}{100}\\ \\=9

Thus, 9 fruit baskets sold by Evie.

4 0
2 years ago
Solve the equation. \dfrac34 =m+\dfrac14 4 3 ​ =m+ 4 1 ​ start fraction, 3, divided by, 4, end fraction, equals, m, plus, start
RSB [31]

Answer:

\boxed{\dfrac{1}{2} = m}

Step-by-step explanation:

Given equation:

\dfrac{3}{4} = m + \dfrac{1}{4}

<u>Step-1: Subtract 1/4 both sides</u>

\dfrac{3}{4} = m + \dfrac{1}{4}

\dfrac{3}{4} - \dfrac{1}{4} = m

\dfrac{2}{4}  = \boxed{\dfrac{1}{2} = m}

3 0
1 year ago
Can you please help me!!!! thank you
vladimir2022 [97]

Answer:

V = J = 92

Step-by-step explanation:

The angles are the same on both shapes.

3 0
3 years ago
Other questions:
  • How many ounces is 2 pounds 7 ounces of butter?
    5·1 answer
  • Find the distance between the points p1 (2,-5) And p2 (-4,3)
    15·2 answers
  • Jason plans to pay the water bill with 2 equal payments . Enter a fraction to represent the division in this situation if the wa
    8·1 answer
  • The area of Nathan's bedroom rug is 15 square feet.The longer side measures 5 feet. His living room rug is twice as long and twi
    10·1 answer
  • Where are the vertical asymptote(s) f(x) = x2 + 12x + 27/ x2 + 4x + 3 .
    15·1 answer
  • Evans mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds is pasta to make dinner for 4. What fraction represents t
    14·1 answer
  • At a student council meeting, there was a total of 65 students present. Of those students, 35 were female.
    6·1 answer
  • Help pleaseee I need to answer this!!!
    7·1 answer
  • The sample mean for these data is = 3.74 ounces. The dotplot below shows the
    10·1 answer
  • The weight of a basketball is normally distributed with a mean of 17oz and a standard deviation of 2oz.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!