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VLD [36.1K]
4 years ago
15

Type 11//5 in the simplest form

Mathematics
1 answer:
Minchanka [31]4 years ago
6 0

Answer:

Exact Form:

11/  5

Decimal Form:

2.2

Mixed Number Form:

2  1/ 5

Step-by-step explanation:

For the decimal, divide 11 by 5.

To get the Mixed number form, find out how many times 5 goes into 11, then then what is left over. Put the number left over the number that was dividing. 5 goes into 11 2 times, then 1 is left over, put the 1 over 5.

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max2010maxim [7]
X1 = 4 so sqrt(4) = 2
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3-2 = 1

9-4 = 5

rate of change = 1/5
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The Snow Sports Club from Sierra High School is boarding the tram at Heavenly Valley to ride up to the top of the mountain. The
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Your company is introducing a fruit drink packaged in an aluminum box with a square
solong [7]

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

S=x^2\Rightarrow x=\sqrt{S}

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V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}

The surface area of the box is

SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

SA'(S)=(2S+144S^{-\frac{1}{2}})'=2-\dfrac{1}{2}\cdot 144\cdot S^{-\frac{1}{2}-1}=2-\dfrac{72}{S\sqrt{S}}

Equate this derivative to 0:

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So, the dimensions that produce a minimum surface area for this aluminum box are:

x=\sqrt{6^{\frac{4}{3}}}=6^{\frac{2}{3}} \ in\\ \\y=\dfrac{6^2}{6^{\frac{4}{3}}}=6^{\frac{2}{3}}\ in.

4 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.
Xelga [282]

Answer:

x = 47

Step-by-step explanation:

KY + YV = KV

KY + 22 = x

KY = x - 22

By angle bisector property:

\frac{TK}{TV}  =  \frac{KY}{YV}  \\  \\\frac{87.5}{77}  =  \frac{x - 22}{22}  \\  \\ x - 22 =  \frac{87.5 \times 22}{77}  \\  \\ x - 22 =  \frac{1,925}{77}  \\  \\ x - 22 = 25 \\  \\ x = 25 + 22 \\  \\ x = 47

3 0
3 years ago
You have 17 coins in pennies, nickels, and dimes in your pocket. The value of the coins is $0.47. There are four times the numbe
Anettt [7]
<span><em>12 pennies, 3 nickles, and 2 dimes</em>

p = number of pennies
n = number of nickles
d = number of dimes
p(1) + n(5) + d(10) = 47
that is, the number of pennies x 1 cent + number nickles x 5 cents
+ number of dimes x ten cents equals 47 cents
p = 4n
p + n + d = 17 
Substituting 4n for p in the above
4n + n + d = 17
5n + d = 17
Subtract 5n from each side
d = 17 - 5n
We will now substitute 4n for p and ( 17-5n ) for d in
the equation
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9n + 170 - 50n = 47
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Subtract 170 from each side
-41n = 47 - 170
-41n = -123
Divide each side by -41
n = 3
Since p = 4n
p = 4(3)
p = 12
Since p + n + d = 17
12 + 3 + d = 17
15 + d = 17
d = 2
So we have 12 pennies, 3 nickles and 2 dimes
12 + 3(5) + 2(10) ?= 47
12 + 15 + 20 ?= 47</span>
3 0
4 years ago
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