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Lyrx [107]
3 years ago
6

-7d>105 what is the solution?

Mathematics
2 answers:
Bumek [7]3 years ago
4 0

Answer: d < -15

Explanation: When you're asked to solve an inequality like -7d < 105, your goal should be the same as it was when solving equations, to get <em>d</em> by itself on one side.

In this problem since <em>d</em> is being multiplied by -7 on the left side of the inequality, to get <em>d</em> by itself, we divide both sides by -7. But here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So this greater than in our original problem becomes less than in our second step. On the left side, the -7's cancel and we are left with <em>d</em> and on the right side, 105 divided is -15. So we have <em>d < -15</em>.

Notice that I switched the direction of the inequality sign above.

Jet001 [13]3 years ago
3 0

Answer:

d <-15

In interval notation

(-∞,-15)

Step-by-step explanation:

-7d>105

Divide each side by -7. remembering to flip the inequality

-7d/-7 < 105/-7

d <-15

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3 years ago
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yawa3891 [41]

Answer: a) 490.91 mph

b) 540 mph

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6 0
3 years ago
Sara is a drummer in her school is marching band she wants to make a geometrically similar model of a snare drum for her stuffed
strojnjashka [21]

Answer:

Option B.

Step-by-step explanation:

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and radius of the model = R

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So, \frac{r}{R}=\frac{1}{4}

Now as per question, dimensions of the snare drum is multiplied by a scale factor of \frac{1}{2}

Radius of the snare drum = \frac{r}{2}

Ratio of the radius of the snare drum and cylindrical model ,

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\frac{r}{2R}=\frac{1}{4}

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Therefore, the cylinder with Sara's dimensions will be geometrically similar but the scale factor will be 1 : 2

Option B is the answer.

6 0
3 years ago
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8 0
3 years ago
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