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14. Solve [tex]\frac{7}{4}=\frac{3}{x}[/tex]. Round to the nearest tenth.

A. 3.7
B. 1.7
C. 1.2
D. 2.5

Sagot :

GinnyAnswer
To solve the equation [tex]\(\frac{7}{4} = \frac{3}{x}\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Cross-multiply to clear the fractions:
[tex]\[ 7 \cdot x = 4 \cdot 3 \][/tex]

2. Multiply the numbers on each side:
[tex]\[ 7x = 12 \][/tex]

3. Solve for [tex]\(x\)[/tex] by isolating [tex]\(x\)[/tex]. To do this, divide both sides of the equation by 7:
[tex]\[ x = \frac{12}{7} \][/tex]

4. Perform the division to find the value of [tex]\(x\)[/tex]:
[tex]\[ x \approx 1.7142857142857142 \][/tex]

5. Round the result to the nearest tenth:
[tex]\[ x \approx 1.7 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] rounded to the nearest tenth is [tex]\(1.7\)[/tex].
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