Question
4. Vind die waarde van \( k \) \( \begin{array}{llll}\text { a.) } \frac{k}{2}=\frac{2}{7} & \text { b.) } \frac{k}{4}=\frac{7}{15} & \text { c.) } \frac{k}{9}=\frac{7}{2} & \text { d.) } \frac{k}{7}=\frac{5}{8}\end{array} \)
Ask by Evans Garza. in South Africa
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The values of \( k \) are:
a.) \( k = \frac{4}{7} \) or approximately 0.5714
b.) \( k = \frac{28}{15} \) or approximately 1.8667
c.) \( k = \frac{63}{2} \) or 31.5
d.) \( k = \frac{35}{8} \) or 4.375
Solution
Solve the equation by following steps:
- step0: Solve for \(k\):
\(\frac{k}{9}=\frac{7}{2}\)
- step1: Multiply both sides of the equation by \(9:\)
\(\frac{k}{9}\times 9=\frac{7}{2}\times 9\)
- step2: Multiply the terms:
\(k=\frac{7\times 9}{2}\)
- step3: Divide the terms:
\(k=\frac{63}{2}\)
Solve the equation \( \frac{k}{4}=\frac{7}{15} \).
Solve the equation by following steps:
- step0: Solve for \(k\):
\(\frac{k}{4}=\frac{7}{15}\)
- step1: Multiply both sides of the equation by \(4:\)
\(\frac{k}{4}\times 4=\frac{7}{15}\times 4\)
- step2: Multiply the terms:
\(k=\frac{7\times 4}{15}\)
- step3: Divide the terms:
\(k=\frac{28}{15}\)
Solve the equation \( \frac{k}{7}=\frac{5}{8} \).
Solve the equation by following steps:
- step0: Solve for \(k\):
\(\frac{k}{7}=\frac{5}{8}\)
- step1: Multiply both sides of the equation by \(7:\)
\(\frac{k}{7}\times 7=\frac{5}{8}\times 7\)
- step2: Multiply the terms:
\(k=\frac{5\times 7}{8}\)
- step3: Divide the terms:
\(k=\frac{35}{8}\)
Solve the equation \( \frac{k}{2}=\frac{2}{7} \).
Solve the equation by following steps:
- step0: Solve for \(k\):
\(\frac{k}{2}=\frac{2}{7}\)
- step1: Multiply both sides of the equation by \(2:\)
\(\frac{k}{2}\times 2=\frac{2}{7}\times 2\)
- step2: Multiply the terms:
\(k=\frac{2\times 2}{7}\)
- step3: Divide the terms:
\(k=\frac{4}{7}\)
Hier is die waarde van \( k \) vir elke vergelyking:
a.) Vir die vergelyking \( \frac{k}{2} = \frac{2}{7} \):
\[
k = \frac{4}{7} \quad \text{of} \quad k \approx 0.57142857
\]
b.) Vir die vergelyking \( \frac{k}{4} = \frac{7}{15} \):
\[
k = \frac{28}{15} \quad \text{of} \quad k \approx 1.86666667
\]
c.) Vir die vergelyking \( \frac{k}{9} = \frac{7}{2} \):
\[
k = \frac{63}{2} \quad \text{of} \quad k = 31.5
\]
d.) Vir die vergelyking \( \frac{k}{7} = \frac{5}{8} \):
\[
k = \frac{35}{8} \quad \text{of} \quad k = 4.375
\]
As jy enige verdere vrae het, laat weet my!
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
Om die waarde van \( k \) te vind, moet ons die vergelykings aanpas. a.) Om \( k \) te vind, vermenigvuldig ons albei kante met 2: \[ k = \frac{2}{7} \times 2 = \frac{4}{7} \] b.) Vir die tweede vergelyking, vermenigvuldig ons beide kante met 4: \[ k = \frac{7}{15} \times 4 = \frac{28}{15} \] c.) Hier vermenigvuldig ons met 9: \[ k = \frac{7}{2} \times 9 = \frac{63}{2} \] d.) Ten slotte, vir die laaste vergelyking, vermenigvuldig ons met 7: \[ k = \frac{5}{8} \times 7 = \frac{35}{8} \] Die waardes van \( k \) vir elke vergelyking is dus: a) \( \frac{4}{7} \), b) \( \frac{28}{15} \), c) \( \frac{63}{2} \), d) \( \frac{35}{8} \).
