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3 years ago

Convert 5.1 to a percentage

Mathematics

2 answers:

krok68 [10]3 years ago

5 0

$5.1=510\%$

Yanka [14]3 years ago

4 0

Answer:

510%

Step-by-step explanation:

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Find the value of x.

VLD [36.1K]

Answer:

do 180-110= 70

Step-by-step explanation:

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3 years ago

Ten digit telephone number has a form (XYZ) - ABC-DEFG. In the particular state there are 4 possible area codes (404, 470, 678,

mars1129 [50]

Answer:

im not sure but i rember having this question i think its 770

Step-by-step explanation:

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3 years ago

Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the numbe

Arada [10]

X = 44 - y

will compute the number of glasses of tea Fiona can serve based on the number of cups used for lemonade.

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3 years ago

Read 2 more answers

A box with a square base and open top must have a volume of 157216 cm3. We wish to find the dimensions of the box that minimize

shepuryov [24]

Answer:

Base Length of 68cm
Height of 34 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 157216 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume $=x^2h=157216$

$h=\dfrac{157216}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{157216}{x^2}\\A(x)=x^2+4x\left(\dfrac{157216}{x^2}\right)\\A(x)=\dfrac{x^3+628864}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+628864}{x}\\A'(x)=\dfrac{2x^3-628864}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-628864}{x^2}=0\\2x^3-628864=0\\2x^3=628864\\x^3=314432\\x=\sqrt[3]{314432}\\ x=68$

Step 4: Verify that x=68 is a minimum value

We use the second derivative test

$If\:A(x)=\dfrac{x^3+628864}{x}\\A''(x)=\dfrac{2x^3+1257728}{x^3}\\$When x=68\\A''(x)=6$

Since the second derivative is positive at x=68, then it is a minimum point.

Recall:

$h=\dfrac{157216}{x^2}\\h=\dfrac{157216}{68^2}=34$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 68cm
Height of 34 cm.

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3 years ago

A college student is looking at her monthly checking account records. On September 1, 2008, her checking account held a balance

mina [271]

A college student is looking at her monthly checking account records. On September 1, 2008, her checking account held a balance of $1,050. At the end of <span>March 2009, her checking account held a balance of $800. The monthly rate of change for the student’s checking account over the period September 1, 2008 through March 31, 2009 is </span><span>250/7. The answer is letter C.</span>

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3 years ago