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Digiron [165]
3 years ago
10

If m and n are positive integers and 2m + 3n = 15, what is the sum of all possible values of m?

Mathematics
2 answers:
myrzilka [38]3 years ago
7 0
2(3)+3(3)=15
6+9=15
15=15
M=3
kifflom [539]3 years ago
4 0
One can write down all possilities:
 - m =0 , n= 5
 - m cannot take value 1 or 2.
 - m= 3, n= 3
 - m cannot take value 4 or 5
 - m= 6 , n= 1
So the sum 0 + 3+ 6 = 9
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The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2
7nadin3 [17]

Answer:

3/2

Step-by-step explanation:

The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.

Therefore

2y=3x-4 and dividing both sides by 2 to have y at the LHS

y=3/2x-2

Therefore, 3/2 represents the gradient/slope

6 0
3 years ago
Joe has one book each for algebra, geometry, history, psychology, Spanish, English and Physics in his locker. How many different
Alisiya [41]

Answer:

There are 35 different sets of 3 books Joe could choose

Step-by-step explanation:

* Lets explain how to solve the problem

- Combination is a collection of the objects where the order doesn't

 matter

- The formula for the number of possible combinations of r objects from

 a set of n objects is nCr = n!/r!(n-r)!

- n! = n(n - 1)(n - 2)................. × 1

Lets solve the problem

- Joe has one book each for algebra, geometry, history, psychology,

 Spanish, English and Physics in his locker

∴ He has <em>seven</em> books in the locker

- He wants to chose <em>three</em> of them

∵ The order is not important when he chose the books

∴ We will use the combination <em>nCr</em> to find how many different sets

  of three books he can choose

- The total number of books is 7

∴ n = 7

∵ He chooses 3 of them

∴ r = 3

∵ 7C3 = 7!/3!(7 - 3)! = 7!/3!(4!)

∴ 7C3=\frac{(7)(6)(5)(4)(3)(2)(1)}{[(3)(2)(1)][(4)(3)(2)(1)]}=35

∴ 7C3 = 35

* There are 35 different sets of 3 books Joe could choose

3 0
3 years ago
A plane took off at a 15° angle to the ground and flew in Sydney's direction. She is standing at a point 25 miles from the
svlad2 [7]

Answer: The Answer is <u>A: 7.685</u> but then round it up to <u>8</u> on edge

3 0
3 years ago
what is the slope of the line that passes through the point (-1,-10) and (-1,-2). answer needs to be in simplest form
Alina [70]

La formula para sacar la pendiente:

Y2-Y1/X2-X1

Respuesta:

Y2-Y1/X2-X1= -2-(-10)/-1-(-1)

= -2+10/ -1+1= 8

R=8

Espero que te sirva

3 0
3 years ago
Read 2 more answers
A car travels 420 miles in 6 hours. What is the unit rate?
Semmy [17]

Answer:

70

Step-by-step explanation:

because 70 times 6 equals 420

3 0
2 years ago
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