Step-by-step explanation:
Howdy, did you do a, b, and c by yourself? Because there are some slight issues, so I'll do my best to explain.
a. 3x+5x
We know that x=2, so we can substitute 2 in for x right now, or we can combine like terms.
3x and 5x both have the variable x so we can add them easily to get 8x. If you substitute in 2, you're just multiplying 8×2, which is 16.
b. 5z+4z+z
Again, since
we know that z=-3, we can substitute in now, or we can combine like terms first. 5z, 4z, and z all have the variable x, we addition is easy. 5+4+1=10, so you'll have 10z. Substitute in -3 for z, and you're just multiplying 10×-3=-30
c. 3x+6+5x
This is trickier since 6 doesn't have the variable x. So to combine like terms means to only add 3x and 5x. So the equation will turn out looming like 8x+6. now substitute in 2 for x and you get
8(2)+6
16+6
22
d. 8y+8-4y
Combine like terms
4y+8
substitute in 5 for y
4(5)+8
20+8
28
e. 5z-4z+z
combine like terms
z+z
2z
substitute -3 for z
2(-3)
-6
f. 3x+6+5x-2
combine like terms
(so that's 3x+5x and 6-2)
8x+4
substitute in 2 for x
8(2)+4
16+4
20
g. 8y+8-4y-3
combine like terms
8y-4y+8-3
4y+5
substitute in 5 for y
4(5)+5
20+5
25
h. 5z-4z+z-3z
combine like terms
-z
substitute in -3 for z
-(-3)
double negatives make a positive
3
Answer:
D. -3x+3y
Step-by-step explanation:
Start by distributing the -3 to each term in the parentheses:
-3(x)+(-3)(-y)
Here are some multiplication sign rules that will make this problem easier:
- - make a +
- + make a -
+ - make a -
+ + make a +
-3x+3y (note that since both 3 and y are negative, they make a positive)
Answer:
C
Step-by-step explanation:
ratio of pigs to chickens = 4/28, which simplifies to 1/12
ratio of goats to chickens = 12/28, which simplifies to 3/7
ratio of cows to goats = 8/12, which simplifies to 2/3
ratio of pigs to cows = 4/8, which simplifies to 1/2
since 2/3 is the largest, the answer is C
Answer:
22
Step-by-step explanation:
multiply 5 and 8 , then multiply 2 and 9 . once you get your answer you subtract the 40-18