Question

What is the value of 'z' in the equation 13/6 = 52/z?

a) z = 24
b) z = 4
c) z = 12
d) z = 6

What is the value of 'v' in the equation 10/45 = v/27?
a) v = 6
b) v = 60
c) v = 12
d) v = 3

What is the value of 'm' in the equation 5m/6 = 10/12?
a) m = 2
b) m = 4
c) m = 1
d) m = 3

What is the value of 'k' in the equation 3k/27 = ⅔?
a) k = 2
b) k = 6
c) k = 3
d) k = 1

What is the value of 'a' in the equation -49/7 = a + 7/6?
a) a = -13
b) a = 1
c) a = -11
d) a = 3

What is the value of 't' in the equation 6/t + 4 = 42/77?
a) t = 14
b) t = 11
c) t = 7
d) t = 9

What is the value of 'r' in the equation 8/22 = r/r + 1?
a) r = 4
b) r = 2
c) r = 8
d) r = 6

What is the value of 'n' in the equation n/n - 12 = 9/5?
a) n = 21
b) n = 60
c) n = 75
d) n = 15

Answer 1

The values are z = 24, v = 6, m = 2, and k = 6. The equation for 'a' simplifies to -8.17. The supplied reference numbers do not directly apply to these specific equations.

Step-by-step explanation:

The value of 'z' in the equation 13/6 = 52/z is found by cross-multiplying to get 13z = 6*52. By dividing both sides by 13, we find that z = 24.

For the second equation 10/45 = v/27, we cross-multiply again to obtain that 10*27 = 45v, which simplifies to v = (10*27)/45. Calculating this gives us v = 6.

To solve for 'm' in the equation 5m/6 = 10/12, we cross-multiply one last time to get 5m*12 = 6*10. Solving for 'm' gives m = 2.

For 'k' in the equation 3k/27 = ⅔, we can start by simplifying 3k/27 to k/9, and then equate k/9 to 2/3. By cross-multiplying, we get 3k = 18, thus k = 6.

The value 'a' in the equation -49/7 = a + 7/6 starts with simplifying -49/7 to -7. Moving terms around, we get a = -7 - 7/6, which simplifies to a = -49/6, or a = -8.17, which is not one of the provided options.

Since the numbers provided in the reference text do not directly assist in solving these specific equations, this section will not be used to calculate the variables.