Hallar el valor det: $$ \frac{\frac{1}{4}-3 t}{4}=\frac{2 t-\frac{3}{4}}{3} $$ a. 0,2500 b. $$ -0,2205 $$ c. 0.2206 d. 0.2205

Question

UpStudy AI · Accepted Answer

Vamos a resolver la ecuación $$ \frac{\frac{1}{4}-3 t}{4}=\frac{2 t-\frac{3}{4}}{3} $$.
Solve the equation by following steps:
- step0: Solve for $$t$$:
  $$\frac{\frac{1}{4}-3t}{4}=\frac{2t-\frac{3}{4}}{3}$$
- step1: Divide the terms:
  $$\frac{1-12t}{16}=\frac{8t-3}{12}$$
- step2: Cross multiply:
  $$\left(1-12tight)	imes 12=16\left(8t-3ight)$$
- step3: Simplify the equation:
  $$12\left(1-12tight)=16\left(8t-3ight)$$
- step4: Rewrite the expression:
  $$4	imes 3\left(1-12tight)=4	imes 4\left(8t-3ight)$$
- step5: Evaluate:
  $$3\left(1-12tight)=4\left(8t-3ight)$$
- step6: Calculate:
  $$3-36t=4\left(8t-3ight)$$
- step7: Calculate:
  $$3-36t=32t-12$$
- step8: Move the expression to the left side:
  $$3-36t-\left(32t-12ight)=0$$
- step9: Calculate:
  $$15-68t=0$$
- step10: Move the constant to the right side:
  $$-68t=0-15$$
- step11: Remove 0:
  $$-68t=-15$$
- step12: Change the signs:
  $$68t=15$$
- step13: Divide both sides:
  $$\frac{68t}{68}=\frac{15}{68}$$
- step14: Divide the numbers:
  $$t=\frac{15}{68}$$
El valor de $$ t $$ es $$ t = \frac{15}{68} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{15}{68}$$
El valor de $$ t $$ es aproximadamente $$ 0.2206 $$, por lo que la opción correcta es c. $$ 0.2206 $$.

Hallar el valor det:
a. 0,2500
b.
c. 0.2206
d. 0.2205

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions

Hallar el valor det: a. 0,2500 b. c. 0.2206 d. 0.2205