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mash [69]
4 years ago
13

Select the correct inequality to make a true statement

Mathematics
1 answer:
polet [3.4K]4 years ago
7 0

Step-by-step explanation:

\frac{1}{4}  \boxed{?} \frac{3}{8}  \\  \\  \frac{1}{4}  =  \frac{2}{8}  \\  \\  \because \: 2 < 3 \\  \therefore \:  \frac{1}{4}  \boxed{ < } \frac{3}{8}

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The answer is 35

Step-by-step explanation:

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In a machine, a large gear completes a revolution every minute while a small gear completes a revolution every 24 seconds. If th
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This question is asking you for the least common multiple of 60 (seconds in 1 minute) and 24 (seconds in 24 seconds).
I think it's 120 (you should check it) and that would be 3 minutes.
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Answer:

<h2>10</h2>

Step-by-step explanation:

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3 0
3 years ago
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The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic
zhuklara [117]

Answer:

C. $25

Step-by-step explanation:

We will find,

The slope of the function using \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Taking the points (1,40) and (2,55).

Slope = \frac{55-40}{2-1}

i.e. Slope = \frac{15}{1}

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation y=mx+b,

We have, 40=15\times 1+b

i.e. b=40-15

i.e. b= 25

Thus, the equation of the linear function is y=15x+25.

<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>

So, the initial value of the comic book is when x= 0.

So, y=15\times 0+25 i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.

8 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B9x%7D%5E%7B2%7D%20-%20%7B%28x%7D%5E%7B2%7D%20-%204%29%20%7B%7D%5E%7B2%7D%20
Alenkinab [10]

Answer:

{ x^2+3x-4}

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

\frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} }

= \frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}

= \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)}

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= { (x-1)(x+4)}

= { x^2+3x-4}

3 0
3 years ago
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