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iVinArrow [24]
3 years ago
9

Simplify 1/4 of (9+3)-1+(3-4÷4)​

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
8 0

For simplifying the problem we must go through a simple logic rule in mathematics known as BODMAS.

Here,

  • B = Brackets
  • O = Orders
  • D = Division
  • M = Multiplication
  • A = Addition
  • S = Subtraction

We'll be solving the above equation with this pattern. Now simplifying the equation,

:\implies\rm{ \frac{1}{4}  \times (9 + 3) - 1 + (3 - 4 \div 4)}

:\implies\rm{ \frac{1}{4}  \times 12 - 1 + (3 - 4 \div 4)}

:\implies\rm{3 - 1 + (3 -  \frac{4}{4}) }

:\implies\rm{3 - 1 + 3 -  \frac{4}{4} }

:\implies\rm{3 - 1 + 3 - 1}

:\implies\rm{3 + 3 - 1 - 1}

:\implies\rm{6 - 2}

:\implies\rm{4}

  • The answer of given equation is <u>4</u><u>.</u>
dusya [7]3 years ago
5 0

\huge\text{\bf Hey there!}

\mathsf{\dfrac{1}{4}\ of\ (9 + 3) - 1 + (3 - 4 \div 4)}\\\\ \mathsf{= \dfrac{1}{4}\ \times\ (9 + 3) - 1 + (3 - 4 \div 4)}\\\\\mathsf{= \dfrac{1}{4}(9 + 3) - 1 + (3 - 4 \div 4)}\\\\\mathsf{= \dfrac{1}{4} (12) - 1 + (3 - 4 \div 4)}\\\\\mathsf{= 3 - 1 + 3 - \dfrac{4}{4}}\\\\\mathsf{= 2 + 2}\\\\\mathsf{= 4}

\huge\text{Therefore, your answer is: \boxed{\textsf 4}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

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xz_007 [3.2K]

Answer:

  D.  a^2 - 6a - 16

Step-by-step explanation:

The product is found using the distributive property.

  (a -8)(a +2) = a(a +2) -8(a +2)

  = a^2 +2a -8a -16

  = a^2 -6a -16 . . . . . matches choice D

5 0
3 years ago
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The mean of eight numbers is 40 and the mean of other twelve different numbers is 30. What is the mean of all the twenty numbers
lana [24]

Answer:  34

================================================

Work Shown:

S = sum of the first 8 numbers

S/8 = 40 is the mean of those first 8 numbers

S = 8*40

S = 320 so the first 8 numbers add to this value

-------

R = sum of the 12 remaining values

R/12 = 30

R = 12*30

R = 360 is what the other 12 values add to

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R+S = 360+320 = 680  is what all twenty values add to. Divide this by 20 to get the overall average

(R+S)/20 = 680/20 = 34

5 0
3 years ago
For the solid described below, find the dimensions giving the minimum surface area, given that the volume is 64 cm3. a closed cy
stepladder [879]
The volume of the cylinder is:
 V = pi * r ^ 2 * h = 64
 The surface area is:
 A = 2 * pi * r ^ 2 + 2 * pi * r * h
 We write the area as a function of r:
 A (r) = 2 * pi * r ^ 2 + 2 * pi * r * (64 / (pi * r ^ 2))
 Rewriting:
 A (r) = 2 * pi * r ^ 2 + 2 * (64 / r)
 A (r) = 2 * pi * r ^ 2 + 128 / r
 Deriving:
 A '(r) = 4 * pi * r - 128 / r ^ 2
 We equal zero and clear r:
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 128 / r ^ 2 = 4 * pi * r
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 r = (128 / (4 * pi)) ^ (1/3)
 r = 2.17 cm
 The height is:
 h = 64 / (pi * r ^ 2)
 h = 64 / (pi * (2.17) ^ 2)
 h = 4.33 cm
 Answer:
 
The dimensions giving the minimum surface area are:
 
r = 2.17 cm
 
h = 4.33 cm
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A business owner pays $1,200 per month in rent and a total of $120 per hour in employee salary for each hour the store is open.
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