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Triss [41]
3 years ago
8

What is a fraction less than 5/6 with a denominator of 8?

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
You could do anything from 6/8 through 1/8
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Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 9 inches, and t
MatroZZZ [7]
To solve this problem, you must follow the proccedure below:

 1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:

 V1=s</span>³
<span>
 s is the side of the cube (s=9)

 2. Therefore, you have:

 V1=s</span>³
 V1=(9 inches)³
 V1=729 inches³
<span>
 3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:

 V2=LxWxH

 L is the length (L=3 inches).
 W is the width (W=3 inches).
 H is the heigth (H=9 inches).

 4. Therefore, you have:

 V2=(3 inches)(3 inches)(9 inches)
 V2=81 inches
</span><span>
 5. The amount of wood that was left after the hole was cut out, is:
</span>
 Vt=V1-V2
 Vt=648 inches³
7 0
3 years ago
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
What is the slope of the graph of 14x + 7y = –9? A. 1/2 B. -1/2 C. 2 D. -2
Debora [2.8K]
First move the 14x over to get 7y=-14x-9 then divide by 7 and you get y= -2x-9/7. the slope is the value next to the x in y=mx+b form so the slope is -2
7 0
3 years ago
What is x/5+7=16 gonna be?
Margarita [4]

x=45

Step-by-step explanation:

x/5+7-7=16-7

5/1×x/5=9×5/1

x=45

6 0
3 years ago
59:19
Vesna [10]

nA.Replace ''the difference with subtraction

B.Replace''the number of serving '' with a variable x.

C.Replace ''four'' with 4.

Step-by-step explanation: .

8 0
1 year ago
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