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Vinil7 [7]
3 years ago
7

Steve is about to take his fifth math test. His scores on the first four test were 84, 92, 71, and 94. What score does Steve nee

d on his fifth test in order to have an average of exactly 85?
Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

  84

Step-by-step explanation:

The sum of the differences of the current scores from average is ...

  (84 -85) +(92 -85) +(71-85) +(94 -85) = -1 +7 -14 +9 = 1

So, to make the total of all differences from average be zero, Steve must get a score of 85 -1 = 84 on his 5th test.

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I have no idea what im doing someone help pls! due soon
Irina18 [472]

4x2-28x+49  

Final result :

 (2x - 7)2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22x2 -  28x) +  49

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4x2-28x+49  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -28x  its coefficient is  -28 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 49 = 196  

Step-2 : Find two factors of  196  whose sum equals the coefficient of the middle term, which is   -28 .

     -196    +    -1    =    -197  

     -98    +    -2    =    -100  

     -49    +    -4    =    -53  

     -28    +    -7    =    -35  

     -14    +    -14    =    -28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -14  

                    4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

                   (2x-7)  •  (2x-7)

            Which is the desired factorization

Multiplying Exponential Expressions :

2.2    Multiply  (2x-7)  by  (2x-7)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2x-7)  and the exponents are :

         1 , as  (2x-7)  is the same number as  (2x-7)1  

and   1 , as  (2x-7)  is the same number as  (2x-7)1  

The product is therefore,  (2x-7)(1+1) = (2x-7)2  

Final result :

 (2x - 7)2

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<span>3^5 * 6^-6 / 3^3 * 6^-4
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202·87–100·87–2·87=
Angelina_Jolie [31]

Step-by-step explanation:

202·87–100·87–2·87

=99.13

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A figure has an area of 64 unit square which describes the area of the figure after a dilation with a scale factor of 3/2
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Answer:

It's 144 units^2

Step-by-step explanation:

You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.

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I need much help plz
salantis [7]

Answer:

77

Step-by-step explanation:

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x + 9y

we plug in x and y

5+9(8)

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