Answer:
C
Step-by-step explanation:
thats my opinion
I hope it helps
Answer:
x = 14
y = -7
z = -3
but this is none of the provided answer options !
Step-by-step explanation:
it's really easy by principle. it's just some work to do.
we try to find equations to express one variable in terms of the others.
but one thing there is : your teacher made a mistake.
the right solution is x = 14, y = -7, z = -3
your teacher made a typo at d.
but the right answer should be d.
just to give you an idea how this can be done (and also to prove that there is a mistake by the teacher):
we can directly try to transform one expression into one that describes x by y and z.
and then another to describe e.g. z by y. and then solve the third one just for y. and then we get the other 2 by these other expressions.
or we can e.g. add or subtract one equation to/from another. this is one of these cases, because we can find really simple expressions that way :
we do
5x + 6y + 7z = 7
- (3x + 4y + 3z = 5)
- (2x + 2y + 3z = 5)
---------------------------
0x + 0y + z = -3
=> z = -3
3x + 4y - 3×3 = 5
3x = -4y + 14
x = (-4y + 14)/3
2×(-4y + 14)/3 + 2y - 9 = 5
(-8y + 28)/3 + 2y = 14
-8y + 28 + 6y = 42
-2y = 14
y = -7
x = (-4×-7 + 14)/3 = (28+14)/3 = 42/3 = 14
Simplifying
12x + -8x = 12
Combine like terms: 12x + -8x = 4x
4x = 12
Solving
4x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x = 3
Simplifying
x = 3
Answer: 2.67 donut/minute
To find the average rate, you need to know the donut production and the time needed. In this question, the unit used is dozen donut and minutes. Assuming you want the rate to have donut/minute then the calculation would be:
Rate:
4x12 donuts / 18 minute
48 donut /18 minute
2.67 donut/minute
Answer:
zero
Step-by-step explanation:
The computation of the remainder when the number would be divided by 35
Let the number be x
So if x is divided by 5 gives the remainder 0
x = 0
And, if x is divided by 7 gives the remainder 0
x = 0
So if x is divided by 35 so the remainder is also zero
