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vodka [1.7K]
3 years ago
5

Which situation can be represented by the inequality 4x − 25 < 125?

Mathematics
1 answer:
GaryK [48]3 years ago
8 0
First add 25 to both sides of the inequality.
You get 4x < 150
Now divide both sides by 4.
You get x < 37.5
So x can be anything less than 37.5,  such as 36,  35 or 34.
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Select the best possible first step to solving the system by first eliminating the x variable.
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mya has ballet lessons every sixth day and swimming every fourth day. today she has both lessons. in how many days will mya have
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To determine when Mya will have both lessons again on the same day, you will list the multiples of each number of days because to show every 4 or 6 days, you will count by 4's and 6's.

When you get to the first number that is the same, that will be the next time she will have both lessons again.  This is called the least common multiple (LCM).

4, 8, 12, 16, 20, ...
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5 0
3 years ago
36 is 25% of what number?
DedPeter [7]

Answer:

36 is 25% of 144

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25% means 25/100 or 1/4. Thus, 36 is 1/4 of 36*4 = 144

4 0
3 years ago
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PIT_PIT [208]

Answer:

7/6

Step-by-step explanation:

\frac{ \frac{x}{4}  +  \frac{x}{3} }{ \frac{x}{2} }  = \frac{x( \frac{1}{4}  +  \frac{1}{3} )}{ x(\frac{1}{2}) } \\  =  \frac{ \frac{1}{4}  +  \frac{1}{3} }{ \frac{1}{2} }  \\  =  \frac{14}{12}  =  \frac{7}{6}

3 0
2 years ago
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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

A"B" = \frac{AB}{2}

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

A"B" = AB * \frac{1}{2}

A"B" = \frac{AB}{2}

The equation that explains the relationship between segment AB and segment A"B" is

A"B" = \frac{AB}{2}

Option A is correct

5 0
3 years ago
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