Math / Algebra

QuestionSolve for $t$ in the proportion. $\begin{array}{l} \frac{8}{13.5}=\frac{t}{16.2} \\ t=\square \end{array}$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $t$ that makes the two fractions, $\frac{8}{13.5}$ and $\frac{t}{16.2}$ , equal to each other! Watch out! Don't flip the fractions around!
Keep the corresponding parts lined up correctly.

STEP 2

1. Isolate $t$
2. Calculate $t$

STEP 3

We want to get $t$ by itself.
It's currently being divided by $16.2$ .
To undo this division, we'll multiply both sides of the equation by $16.2$ .
Remember, whatever we do to one side of an equation, we must do to the other to keep things balanced! $\frac{8}{13.5} \cdot 16.2 = \frac{t}{16.2} \cdot 16.2$

STEP 4

On the right side, the $16.2$ in the numerator and the $16.2$ in the denominator divide to one, leaving $t$ by itself.
Awesome! $\frac{8}{13.5} \cdot 16.2 = t$

STEP 5

Now, we just need to multiply $8$ and $16.2$ in the numerator: $8 \cdot 16.2 = 129.6$ So, our equation becomes: $\frac{129.6}{13.5} = t$

STEP 6

Finally, we divide $129.6$ by $13.5$ to find the value of $t$ : $\frac{129.6}{13.5} = 9.6$ So, $t = 9.6$ !

STEP 7

$t = 9.6$

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QuestionSolve for $t$ in the proportion. $\begin{array}{l} \frac{8}{13.5}=\frac{t}{16.2} \\ t=\square \end{array}$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $t$ that makes the two fractions, $\frac{8}{13.5}$ and $\frac{t}{16.2}$ , equal to each other! Watch out! Don't flip the fractions around!
Keep the corresponding parts lined up correctly.

STEP 2

1. Isolate $t$
2. Calculate $t$

STEP 3

STEP 4

On the right side, the $16.2$ in the numerator and the $16.2$ in the denominator divide to one, leaving $t$ by itself.
Awesome! $\frac{8}{13.5} \cdot 16.2 = t$

STEP 5

Now, we just need to multiply $8$ and $16.2$ in the numerator: $8 \cdot 16.2 = 129.6$ So, our equation becomes: $\frac{129.6}{13.5} = t$

STEP 6

Finally, we divide $129.6$ by $13.5$ to find the value of $t$ : $\frac{129.6}{13.5} = 9.6$ So, $t = 9.6$ !

STEP 7

$t = 9.6$

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QuestionSolve for ttt in the proportion. 813.5=t16.2t=□\begin{array}{l} \frac{8}{13.5}=\frac{t}{16.2} \\ t=\square \end{array}13.58​=16.2t​t=□​

Studdy Solution

STEP 1

What is this asking? We need to find the value of ttt that makes the two fractions, 813.5\frac{8}{13.5}13.58​ and t16.2\frac{t}{16.2}16.2t​, equal to each other! Watch out! Don't flip the fractions around!Keep the corresponding parts lined up correctly.

STEP 2

1. Isolate ttt2. Calculate ttt

STEP 3

STEP 4

On the right side, the 16.216.216.2 in the numerator and the 16.216.216.2 in the denominator divide to one, leaving ttt by itself.Awesome! 813.5⋅16.2=t \frac{8}{13.5} \cdot 16.2 = t 13.58​⋅16.2=t

STEP 5

Now, we just need to **multiply** 888 and 16.216.216.2 in the numerator: 8⋅16.2=129.6 8 \cdot 16.2 = 129.6 8⋅16.2=129.6 So, our equation becomes: 129.613.5=t \frac{129.6}{13.5} = t 13.5129.6​=t

STEP 6

Finally, we **divide** 129.6129.6129.6 by 13.513.513.5 to find the **value of** ttt: 129.613.5=9.6 \frac{129.6}{13.5} = 9.6 13.5129.6​=9.6 So, t=9.6t = 9.6t=9.6!

STEP 7

t=9.6t = 9.6t=9.6

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QuestionSolve for $t$ in the proportion. $\begin{array}{l} \frac{8}{13.5}=\frac{t}{16.2} \\ t=\square \end{array}$

What is this asking? We need to find the value of $t$ that makes the two fractions, $\frac{8}{13.5}$ and $\frac{t}{16.2}$ , equal to each other! Watch out! Don't flip the fractions around!
Keep the corresponding parts lined up correctly.

1. Isolate $t$
2. Calculate $t$

On the right side, the $16.2$ in the numerator and the $16.2$ in the denominator divide to one, leaving $t$ by itself.
Awesome! $\frac{8}{13.5} \cdot 16.2 = t$

Now, we just need to multiply $8$ and $16.2$ in the numerator: $8 \cdot 16.2 = 129.6$ So, our equation becomes: $\frac{129.6}{13.5} = t$

Finally, we divide $129.6$ by $13.5$ to find the value of $t$ : $\frac{129.6}{13.5} = 9.6$ So, $t = 9.6$ !

$t = 9.6$