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pashok25 [27]
3 years ago
13

How do you simplify this expression

Mathematics
1 answer:
raketka [301]3 years ago
3 0
Convert <span>6\frac{3}{8}<span>6<span><span>​8</span>​<span>​3</span><span>​​</span></span></span></span><span> to improper fraction. Use this rule: </span><span>a \frac{b}{c}=\frac{ac+b}{c}<span>a<span><span>​c</span>​<span>​b</span><span>​​</span></span>=<span><span>​c</span>​<span>​<span>ac+b</span></span>​​:</span></span></span>
​∣8<span><span>​<span>​<span>6×8+3</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1<span>∣


</span></span>Simplify <span>6\times 8<span>6×8</span></span><span> to </span>48: <span><span><span><span><span>
​</span>8</span>​<span>​<span>48+3</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1∣


</span>Simplify <span>48+3<span>48+3</span></span><span> to </span>51:</span><span><span><span><span><span>
​</span>8</span>​<span>​<span>51</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1∣

</span> Make the denominators the same:
<span><span><span>51</span><span>​​/8</span></span>−2×<span><span>​8</span>​<span>​8</span><span>​​

</span></span></span><span>Simplify. Denominators are now the same:
</span>
<span><span><span>51</span><span>​​/8</span></span>−<span><span>​8</span>​<span>​<span>16</span></span><span>​​
</span>
</span></span>Join the denominators: \frac{51-16}{8}<span><span>​8</span>​<span>​<span>51−16</span></span><span>​​
</span>
etc.. and your answer will be 14

</span></span>
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A store advertises 15% off an item that regularly sells for $300.
nataly862011 [7]

Answer:

The sale price of the item is  $ 255

Step-by-step explanation:

To determine the amount of discount ( d ) offered by the store, we calculate  

15 %  of the sale price. Thus:

d =  300  ×  15 ÷ 100

d  =  3 00  ×  15  ÷ 1 00  (take the 2 zeros out on both the hundred and 3 hundred)

d  =  3  ×  15

d  =  45

If the amount of discount is known, the sale price ( s ) of the item will be the regular price minus the discount. Hence:

s  =  300  −  45

s  =  255

Hope this helps you! If not sorry!

8 0
3 years ago
A jogger traveled at the speed of 8 km/h for 15 minutes.How <br> far did she run
pickupchik [31]
The magic triangle is D and S and T where D is over S and T so if D is over s and t u dived and if the question is looking for D you would multiply S and T so 8 is the S i'm guessing and 15 is the T so ur gonna be looking for D so D=120 S=Speed D=Distance and T=time 
i hope i helped you good luck   
5 0
3 years ago
in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t
kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

P( x,n,p) = n Cx * p^{x } * q^ {n-x}

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

nC x = \frac{ n!}{ x! (n-x)! }

From the question we can identify that:

  • n is equal to 4 multiple choice question
  • p is 1/5 or 0.2, the probability of get one question correct
  • q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096

The probability of get one question correct of 4 questions is:

P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096

The probability of get three questions correct of 4 questions is:

P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256

8 0
4 years ago
Solve for y<br> a. 4x + 5y = 25
AfilCa [17]

Answer:

y = -4/5x + 5

Step-by-step explanation:

In order to solve for y, we need to isolate the variable. First, let's subtract 4x on each side. After doing said step, we should now have this equation:

5y = -4x + 25

Next, we need to divide 5 on each side, giving us this new equation:

y = -4/5x + 5

There you go! Let me know if I did anything wrong ^-^

5 0
3 years ago
(8, 1) and (-1, 10)<br> Slope
gizmo_the_mogwai [7]

Answer:

<h2>The answer is 1</h2>

Step-by-step explanation:

The slope of the line between two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}

where

(x1 , y1) and (x2 , y2) are the points

From the question is points are

(8, 1) and (-1, 10)

Substitute the values into the above formula and solve for the slope

That's

m =  \frac{10 - 1}{8 + 1}  \\  =  \frac{9}{9}   = 1

We have the final answer as

<h3>1 </h3>

Hope this helps you

7 0
3 years ago
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