Question

Answer these for me please pretty please

Answer 1

Answer:

1. t = 48.654

2. $x = \frac{8}{3}$

3. $s = \frac{49}{4}$

4. $y = \frac{19}{12}$

Step-by-step explanation:

To solve equations using variables, perform inverse operations to undo each part and isolate the variable.

1. $\frac{t}{5.4} =9.01$

Multiply by 5.4 on both sides to undo division.

t = 9.01 * 5.4

t = 48.654

2. $\frac{3}{4}x = 2$

Multiply both sides by the reciprocal of 3/4 which is 4/3.

$x = 2*\frac{4}{3} \\x = \frac{8}{3}$

3. $s + \frac{1}{4} = 12\frac{1}{2}$

Convert 12 1/2 into an improper fraction.

$s + \frac{1}{4} = \frac{25}{2}$

Subtract 1/4 from both sides.

$s + \frac{1}{4} - \frac{1}{4} = \frac{25}{2} - \frac{1}{4}$

To subtract fractions without common denominators, convert 25/2 into a fraction with denominator of 4.

$s = \frac{50}{4} - \frac{1}{4}\\s = \frac{49}{4}$

4. $2\frac{2}{3} + y = 4 \frac{1}{4}$

Subtract 2 2/3 from both sides.

$2\frac{2}{3} - 2\frac{2}{3} + y = 4 \frac{1}{4}- 2\frac{2}{3}$

Convert each fraction into improper fractions and then to common denominators.

$y = \frac{17}{4} - \frac{8}{3}\\\\ y = \frac{51}{12} - \frac{32}{12} \\\\y = \frac{19}{12}$