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topjm [15]
3 years ago
5

At Furnace Woods School, enrollment increased from 320 students in 2006  to 349 students in 2007. What is the percent increase i

n enrollment? Please let me know how to do it without the computer calculations so I can do problems like these on my own
Mathematics
1 answer:
seraphim [82]3 years ago
6 0

Here are two slightly different ways to look at it. 
Both ways do exactly the same thing.

<u>Way #1:</u>
Divide  (the new number) by (the old number)

 349 / 320 = 1.090625

Change the quotient  1.090625  to percent.

To change any number into percent, multiply it by 100, or move the decimal point  2 places to the right.

   1.090625  ==>  109.06 %

The new number  (349)  is  109.06%  of the old number  (320).

But the old number was  100%  of itself.  So the new number
is  <em>9.06%  more</em> than the old number was.
================================

<u>Way #2:</u>
How much bigger is the new number ?

       (349 - 320) = 29 bigger

Divide the increase by the old number:

       29 / 320 = 0.090625

Change the quotient to a percent.

     0.090625 = 9.06%

The <em>increase</em> is<em>  9.06%</em>  of the old number.


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Step-by-step explanation:

14*8=112

8*4=32

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3 years ago
A dogs weighs 7 pounds and triples each year for two years. How much does the dog weigh?
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Which of the following sets of possible side lengths does not form a triangle
Alex Ar [27]

Answer:

<h2>b) 4,5,15</h2><h2 />

Step-by-step explanation:

In a triangle of sides‘s length a , b and c

in order to be able to form (construct) this triangle we must have :

c - a < b < c + a

in fact this work with cases a) ,c) and d)

but not b)

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3 years ago
Use the discriminant to find the number and type of solution for x^2+6x=-9​
likoan [24]

Answer:

D = 0; one real root

Step-by-step explanation:

Discriminant Formula:

\displaystyle \large{D =  {b}^{2}  - 4ac}

First, arrange the expression or equation in ax^2+bx+c = 0.

\displaystyle \large{ {x}^{2}  + 6x =  - 9}

Add both sides by 9.

\displaystyle \large{ {x}^{2}  + 6x + 9 =  - 9 + 9} \\  \displaystyle \large{ {x}^{2}  + 6x + 9 =  0}

Compare the coefficients so we can substitute in the formula.

\displaystyle \large{a {x}^{2}  + bx + c =  {x}^{2}  + 6x + 9 }

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  • b = 6
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Substitute a = 1, b = 6 and c = 9 in the formula.

\displaystyle \large{D =  {6}^{2}  - 4(1)(9)} \\  \displaystyle \large{D =  36 - 36} \\  \displaystyle \large{D =  0}

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Arturiano [62]

Answer:

<em>Thus, the original price of the pair of shoes was $100.</em>

Step-by-step explanation:

<u>Percentages</u>

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

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Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

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