1) If 2 +1/z =0; then what is the value of 9+9z?
A) -9/2
B) -1/2
C) 0
D) 9/2
E) the answer cannot be determined.
2) let wx=y where wxy does not equal 0
If both x and y are multipled by 6, then w is
A)multiplied by 1/36
B)multiples by 1/6
C)multipled by 1
D) multiplied by 6
E) multiples by 36
I got C?
3) if 7x/144 yards and 5/12 feet together equal how many inches?
A) 7x/12+ 5y/4
B)7x/12+5y
C) 7x/4+5y
D) 7x/4 +60
E) 7x+ 5/4y
^i am not sure.
1) so we have 2+1/z=0
subtracting 2:
1/z=-2
multiply by z
1=-2z
divide by -2
-1/2=z
we need 9+9z
9+9(-1/2)
9+(-9/2)
9-9/2
18/2-9/2
=9/2, or D
2) we have wx=y
multiplying x and y by 6 we have
w(6x)=(6y), which is true so you are correct the answer is C
3)there are 36 inches in a yard so we have
7x*36/144=7x/4
there are 12 inches in a foot
5y/12*(12)=5y
the answer is 7x/4+5y, or C
1) To find the value of 9 + 9z given that 2 + 1/z = 0, we can solve for z first.
We have the equation 2 + 1/z = 0. To solve for z, we can subtract 2 from both sides of the equation:
1/z = -2.
Next, we can take the reciprocal of both sides to isolate z:
z = -1/2.
Now that we have the value of z, we can substitute it into the expression 9 + 9z:
9 + 9(-1/2) = 9 - 9/2 = -9/2.
Therefore, the value of 9 + 9z is -9/2.
So, the answer is A) -9/2.
2) Let's solve the second problem step by step.
Given the equation wx = y and the condition wxy ≠ 0.
If both x and y are multiplied by 6, the equation becomes:
w(x * 6) = y * 6.
This simplifies to:
6wx = 6y.
Now, we need to find out how this affects the variable w.
Dividing both sides of the equation by 6:
(6wx) / 6 = (6y) / 6,
wx = y.
Since multiplying both x and y by 6 results in the same equation, it means that w remains unchanged.
So, the correct answer is C) multiplied by 1.
3) To find the total length in inches when given lengths in yards and feet, we need to convert the measurements to a consistent unit, such as inches.
Given: 7x/144 yards and 5/12 feet.
To convert yards to inches, we know that 1 yard equals 36 inches. So, we can multiply 7x/144 yards by 36 inches/1 yard:
7x/144 * 36 inches/1 yard = (7x * 36 inches) / (144 yards).
Simplifying the expression:
(7x * 36 inches) / (144 yards) = 252x inches / 144.
To convert feet to inches, we know that 1 foot equals 12 inches. So, we can multiply 5/12 feet by 12 inches/1 foot:
(5/12 * 12 inches) / 1 foot = 5 inches / 1.
Now, we can combine these two measurements:
252x inches / 144 + 5 inches.
Simplifying further:
252x inches / 144 + 5 inches = (252x + 5) inches.
Therefore, the answer is E) 7x+ 5/4y, which is (252x + 5) inches.