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Vsevolod [243]
2 years ago
14

How to turn percent to fraction?

Mathematics
1 answer:
MakcuM [25]2 years ago
4 0

Step-by-step explanation:

Step 1: Write down the percent divied by 100 like this: percent/100

Step 2: If the percent is not a whole number, then multiple both top and bottom by 10 for every number after the decimal point. (for example, if there is on number after the decimal, then use 10, if there are two then use 100, ect.)

Step 3: simplify.(or reduce) the fraction

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Giving 100 points.
Nitella [24]

Answer:

1.   <u>Cost per customer</u>:  10 + x

     <u>Average number of customers</u>:  16 - 2x

\textsf{2.} \quad  -2x^2-4x+160\geq 130

3.    $10, $11, $12 and $13

Step-by-step explanation:

<u>Given information</u>:

  • $10 = cost of buffet per customer
  • 16 customers choose the buffet per hour
  • Every $1 increase in the cost of the buffet = loss of 2 customers per hour
  • $130 = minimum revenue needed per hour

Let x = the number of $1 increases in the cost of the buffet

<u>Part 1</u>

<u></u>

<u>Cost per customer</u>:  10 + x

<u>Average number of customers</u>:  16 - 2x

<u>Part 2</u>

The cost per customer multiplied by the number of customers needs to be <u>at least</u> $130.  Therefore, we can use the expressions found in part 1 to write the <u>inequality</u>:

(10 + x)(16 - 2x)\geq  130

\implies 160-20x+16x-2x^2\geq 130

\implies -2x^2-4x+160\geq 130

<u>Part 3</u>

To determine the possible buffet prices that Noah could charge and still maintain the restaurant owner's revenue requirements, solve the inequality:

\implies -2x^2-4x+160\geq 130

\implies -2x^2-4x+30\geq 0

\implies -2(x^2+2x-15)\geq 0

\implies x^2+2x-15\leq  0

\implies (x-3)(x+5)\leq  0

Find the roots by equating to zero:

\implies (x-3)(x+5)=0

x-3=0 \implies x=3

x+5=0 \implies x=-5

Therefore, the roots are x = 3 and x = -5.

<u>Test the roots</u> by choosing a value between the roots and substituting it into the original inequality:

\textsf{At }x=2: \quad -2(2)^2-4(2)+160=144

As 144 ≥ 130, the <u>solution</u> to the inequality is <u>between the roots</u>:  

-5 ≤ x ≤ 3

To find the range of possible buffet prices Noah could charge and still maintain a minimum revenue of $130, substitute x = 0 and x = 3 into the expression for "cost per customer.  

[Please note that we cannot use the negative values of the possible values of x since the question only tells us information about the change in average customers per hour considering an <em>increase </em>in cost.  It does not confirm that if the cost is reduced (less than $10) the number of customers <em>increases </em>per hour.]

<u>Cost per customer</u>:  

x =0 \implies 10 + 0=\$10

x=3 \implies 10+3=\$13

Therefore, the possible buffet prices Noah could charge are:

$10, $11, $12 and $13.

8 0
1 year ago
The radius of the sphere is 33 find the surface area
patriot [66]

Answer:

A=13684.7776

Step-by-step explanation:

= 4\pi {r}^{2}

4\pi {33 }^{2}  = 13684.7776

5 0
2 years ago
Consider this linear function:
ivanzaharov [21]

Answer:

(-8,-3)

(-4,-1)

(0,1)

(2,2)

(6,4)

Step-by-step explanation:

One by one, substitue the x values and solve for y

3 0
2 years ago
Jim nasium is building a tree house for histwo daughters. He cuts 12 pieces of wood from a board that is 128 inches long.He cuts
AnnyKZ [126]

Answer:

6.75 inches each

Step-by-step explanation:

128 less 2 inches for the cuttingblade

5 x 15.75 = 78.75

126 - 78.75 =47.25

47.25/7 = 6.75

5 0
3 years ago
What is the greatest whole number that rounds to 67,400? What is the least whole number?
WINSTONCH [101]
Greatest would be 100,000 (the nearest 100,000)
least 67,000 (the nearest thousand)
8 0
3 years ago
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