Answer:
Solution (
,
)
Step-by-step explanation:
Given : 3x - 2y = 12 and 6x + 3y = 21.
To find : Solve the system of equations and choose the correct ordered pair.
Solution : We have given
3x - 2y = 12 -------(1)
6x + 3y = 21-------(2)
Multiplying the equation(1) by 2 , it become.
6x - 4y = 24 .
Now subtract it from equation (2).
6x + 3y = 21
(-)6x - (+)4y = (-)24 .
____________
0 + 7y = -3.
On dividing both sides by 7.
y =
.
Plug the y =
in equation 2 .
6x +
= 21
6x +
= 21.
On multiplying both sides by 7
42x -9 = 21 *7 .
42x -9 = 147 .
On adding both sides by 9
42x = 147 + 9 .
42x = 156.
On dividing both sides by 42.
x =
.
x =
.
Therefore, Solution (
,
)
Answer:
120km
Step-by-step explanation:
1hr 12 min is double 36 minutes
so just double 60
We have been given that Sam uses an industrial kitchen to bake several batches of his famous chocolate chip bars.
Further, we are given that Sam needs to weight out 78 ounces, plus or minus 2.5 ounces.
Therefore, the equation that can be used to find maximum or minimum amount, c, of chocolate chips that he can weight out is:

Answer:
#1 Haley is correct and Lacey is incorrect
#2 Kenji is incorrect.
Step-by-step explanation:
#1. x^3 (x^2) = x^5 but this same law doesn't apply to addition of numbers with exponents.
#2 The law of exponents doesn't apply to numbers with different bases that are not multiples of each other such as 3 and 4, so Kenji's simplification is not correct.