Question
or
Solve for j in the proportion.
j
35
=
24
40
j =
Answers
Answered by
GPT-4o mini
To solve for \( j \) in the proportion
\[
\frac{j}{35} = \frac{24}{40}
\]
you can use cross-multiplication. This means you multiply the numerator of one ratio by the denominator of the other ratio:
\[
j \times 40 = 24 \times 35
\]
Now calculate \( 24 \times 35 \):
\[
24 \times 35 = 840
\]
So we have:
\[
40j = 840
\]
Now, divide both sides by 40 to solve for \( j \):
\[
j = \frac{840}{40}
\]
Calculating this gives:
\[
j = 21
\]
Thus, the value of \( j \) is
\[
\boxed{21}
\]
\[
\frac{j}{35} = \frac{24}{40}
\]
you can use cross-multiplication. This means you multiply the numerator of one ratio by the denominator of the other ratio:
\[
j \times 40 = 24 \times 35
\]
Now calculate \( 24 \times 35 \):
\[
24 \times 35 = 840
\]
So we have:
\[
40j = 840
\]
Now, divide both sides by 40 to solve for \( j \):
\[
j = \frac{840}{40}
\]
Calculating this gives:
\[
j = 21
\]
Thus, the value of \( j \) is
\[
\boxed{21}
\]