Question

Give that T = 37v/6v-5.4m a. Make V the subject of relation b. If T = 4.5 and M =7x10(7),calculate the value of v , leaving your answer in standard form

Answer 1

Answer:

$v = \frac{5.4mT}{6T - 37}$

$v = -1.701*10^8$

Step-by-step explanation:

Given

$T = \frac{37v}{6v-5.4m}$

Solving (a): Make v the subject

$T = \frac{37v}{6v-5.4m}$

Cross Multiply:

$(6v-5.4m)T = 37v$

Open bracket

$6vT - 5.4mT = 37v$

Collect Like terms

$6vT - 37v= 5.4mT$

Factorize:

$(6T - 37)v= 5.4mT$

Make v the subject

$v = \frac{5.4mT}{6T - 37}$

Solving (b):

$T = 4.5$

$m = 7 * 10^7$

So, the expression becomes:

$v = \frac{5.4mT}{6T - 37}$

$v = \frac{5.4*7*10^7*4.5}{6*4.5 - 37}$

$v = \frac{170.1*10^7}{27 - 37}$

$v = \frac{170.1*10^7}{-10}$

$v = -17.01*10^7$

$v = -1.701*10*10^7$

$v = -1.701*10^8$