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Fed [463]
3 years ago
8

Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?

Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

Step-by-step explanation:

A

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

B

Factor each number into it's primes.

24 =<u> 2*2*2</u>*3

32 = <u>2*2*2</u>*2*2

The highest common factor is 2*2*2 = 8

C

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2

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3 years ago
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Answer:

D

Step-by-step explanation:

We will use the 2 coordinates marked on the graph as the reference.

The coordinates are:

A(4,-2)

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We know that the standard form for equation of line is:

y = mx+c

where m is the slope of the equation

and c is the y-intercept.

Very clearly, the y-intercept is where the line intercepts the y line.

and in this case, y-intercept = c = 3.

Now we know that the equation of line is now

y = mx + 3

To find m, the slope, we can use the 2 above coordinates.

slope of line = \frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}

(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)

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4 0
2 years ago
The rectangular prism below has a total surface area of 198 in2. Use the net below to find the missing dimension, x.
inessss [21]
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3 years ago
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Goryan [66]

Answer:

A=53.13\°

Step-by-step explanation:

The figure shows a right triangle.

To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

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Substitute into \alpha=arctan(\frac{opposite}{adjacent}).

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A=53.13\°

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4 years ago
Solve the following system: (5 points)
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