Answer:
Total number of puppies in the litter = 11
Step-by-step explanation:
Let the number of yellow puppies in the litter = y
And the number of black puppies in the litter = b
If there was one less black puppy, ratio of yellow to black puppies = 

2(b - 1) = 3y
3y - 2b = -2 -----(1)
If there was one more black puppy, ratio of yellow puppies to black puppies = 

2y = b + 1
2y - b = 1 -------(2)
Equation (1) - 2× equation (2)
(3y - 2b) - 2(2y - b) = -2 - 2
3y - 4y - 2b + 2b = -4
y = 4
From equation (1),
3×4 - 2b = -2
12 - 2b = -2
-2b = -14
b = 7
Total number of puppies in the litter = 7 + 4 = 11
Answer:
64,9
Step-by-step explanation:
From my understanding the pattern would be:
Every other number is the next consecutive odd number,
( 1, 3, 5, 7 ) are all of the consecutive odds. (So the next odd is 9. )
That when we get to the part of where we get every other number for the remaining numbers, if you multiply the next even number by itself (square it).
4, 16, and 36 ( they are all perfect squares. )
They are the perfect squares of ( 2, 4, and 6) . So it makes sense that ( 8 ) is the next even number and you would square that and get ( 64 )
I hope this makes sense!!
The correct answer is:
[B]: "
22 " .
_________________________________________________________Explanation:_________________________________________________________Given:_________________________________________________________
;
Solve when: "n = 3" ;
Rewrite the expression; substituting "3" for all values of "n" ; as follows:
→

;
The "6" cancels out to "2" ; & the "3" cancels out to "1" ;
→ {since: " {6 ÷ 3 = 2}" ; and since: " {2 ÷ 2 = 1}" .
_________________________________________________________→ Since the "denominator" is "1" ; and any value, divided by "1"; results in that original value; we can eliminate the denominator.
→ Now, we can rewrite the expression as:
_________________________________________________________ → " 2(3² + 2)" ;
= 2(9 + 2) ;
= 2(11) ;
= "
22 " .
_________________________________________________________ → The answer is: "
22 " ; which is:
Answer choice: [B]: "
22 " .
_________________________________________________________
Answer:
D) 4x + 5y = -30 = -4/5
Step-by-step explanation:
A) 5x + 4y = 28 slope = -5/4
b) 4x-5y = -25 slope = 4/5
c) 4y - 5x = -12 slope = 5/4
d) 4x + 5y = -30 slope = -4/5