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spayn [35]
3 years ago
11

Which pair of fractions is equivalent to this pair:

tle="\frac{3}{5}" alt="\frac{3}{5}" align="absmiddle" class="latex-formula"> and \frac{2}{7}
A: \frac{7}{35} and \frac{5}{35}
B: \frac{21}{35} and \frac{10}{35}
C: \frac{24}{35} and \frac{12}{35}
D: \frac{10}{35} and \frac{7}{35}
Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

\dfrac{3}{5}=\dfrac{3\cdot7}{5\cdot7}=\dfrac{21}{35}\\\\\dfrac{2}{7}=\dfrac{2\cdot5}{7\cdot5}=\dfrac{10}{35}\\\\Answer:\ \boxed{B.}

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Solve each compound inequality. Graph your solutions.<br> 5 + m &gt; 4 or 7m&lt; -35
Yuliya22 [10]

Answer:

Solving the inequality 5 + m > 4\: or\: 7m< -35 we get \mathbf{m>-1\:or\: \:m

The graph of the inequality is shown in figure attached.

Step-by-step explanation:

We need to Solve each compound inequality 5 + m > 4\: or\: 7m< -35

Solving the inequalities

For solving compound inequalities we solve both inequalities simultaneously and find the value of m.

For solving 5+m > 4, we subtract 5 from both sides.

While solving 7m < -35, we divide both sides by 7 to get value of m

Applying these functions we get:

5 + m > 4\: or\: 7m< -35\\m>4-5\:or\:m-1\:or\:m

So, solving the inequality 5 + m > 4\: or\: 7m< -35 we get \mathbf{m>-1\:or\: \:m

The graph of the inequality is shown in figure attached.

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Step-by-step explanation:


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