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Paladinen [302]
3 years ago
10

Joe scored 10 more than half his normal average at the basketball game tonight. If he scored 24 times, what is his usual average

?
Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer: His usual average = 28.

Step-by-step explanation:

Let x = usual average at the basketball game tonight.

As per given,

\dfrac{x}{2}+10=24

Subtract 10 from both sides , we get

\dfrac{x}{2}+10-10=24-10\\\\\Rightarrow\ \dfrac{x}{2}=14\\\\\Rightarrow\ x=14\times2=28

Hence, his usual average = 28.

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Simplify completely x^2+4x-45 / x^2+10x+9
S_A_V [24]

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

4 0
3 years ago
1. Solve the equation using the zero-product property.<br> -x(5x – 4) = 0
Oxana [17]

Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

  • Here our a term is -x and our b term is (5x - 4)
  • Setting each term equal to zero and solving for x we get
  • -x = 0 → x = 0
  • 5x - 4 = 0 → 5x = 4 → x = 4/5

6 0
3 years ago
What is 8 Divided by 231 to the nearest thousandth
Mkey [24]

Answer:

0.346

Step-by-step explanation:

brainiest pls ty

3 0
1 year ago
Read 2 more answers
2 + 3(x + 2x) = −2x(2 − 4) + 1<br><br> A) −5 <br> B) −<br> 1<br> 5<br> C) 5 <br> D) <br> 1<br> 5
11Alexandr11 [23.1K]

Answer:

B -1/5

you have to follow pemdas first get rid of the parethase which leaves you with 2+3x+6x=-4x+8x+1 then you add what you can do then you get 2+9x=4x+1 then you subtract 2 from both sides and subtract 4x from both sides which leaves you with 5x=-1 then you divide 5 from both sides and get x=-1/5

4 0
3 years ago
(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What ty
andrezito [222]

Answer:

let me think

Step-by-step explanation:

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3 years ago
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