MATHEMATICS HIGH SCHOOL

Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales increase last year? What percentage did sales decrease this year?

Answers

Answer 1
Answer: Last year it was a 100% increase while this year it is a 50% decrease.
Answer 2
Answer:

Answer:

100 in

50 de

Step-by-step explanation:

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The price of a plane ticket has increased from $150 to $200. By what percent has the price increased? A) 15%
B) 25%
C) 33%
D) 50%

Answers

Answer:

The answer is the option C

33\%

Step-by-step explanation:

we know that

\$150 ------> represent the 100\%

so

by proportion

Find what percent has the price increased

(100)/(150)(\%)/(\$)=(x)/(200-150)(\%)/(\$) \n \nx=(200-150)*100/150\n \nx=50*100/150\n \nx=33.33\%
There is a formula to figure out questions like this:

The price difference/ the original price and times the whole equation by 100 (to get the percentage).

> ($50/$150) x 100 = 33% (rounded)

If f(x) = 4x − 6 and g(x) = 6x − 4, what is f · g?

Answers

Answer:

f · g = 24x² - 52x + 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Terms/Coefficients
  • Expand by FOIL
  • Functions
  • Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x - 6

g(x) = 6x - 4

Step 2: Find f · g

  1. Substitute in function values:                                                                          f · g = (4x  - 6)(6x - 4)
  2. Expand [FOIL]:                                                                                                  f · g = 24x² - 16x - 36x + 24
  3. [Subtraction] Combine like terms:                                                                   f · g = 24x² - 52x + 24

For each of the functions below, describe the domain of definition that is understood: f(z) = (1/x²)+1

Answers

Answer: x \neq 0

Step-by-step explanation:

The domain of a function consists of the x-values that have a y-value in a function. The +1 shifts the graph upwards 1 unit. This only affects the range, the y-values. The x is in the denominator of a function, and the denominator of a function can never be 0, so we can say x \neq 0. There are no other restrictions on the domain; x can be negative, x can be positive, but x cannot be 0.

If we graph this function, we'll see that there are no y-values when x = 0. We say that there is a vertical asymptote at x = 0, an imaginary line at an x-value that does not have any y-values.

I hope this helps! :)

If the radius of a circle with an area of 45 inches squared is multiplied by 6, what is the area of the new circle ?

Answers

A circle is drawn with all it's points equidistant from a fixed point. The fixed point is called the center of the circle and the distance from the center point to the outside is called the radius. 

Area = \pi *r^2 

r^2 = Radius 

45*6^2= New \ Area 

= 1620
45X6²=1620  because the area of circle=r²\pi   

Ahmed spent 2/3 of his money on a burrito and a water. The burrito coast 2 times as much as the water. The burrito cost $4, how much money does Ahmed have left?

Answers

The burrito costs twice as much as water. Let's assume the water costs $w
$4=2w
w=$2 
Ahmed spent $2+$4=$6
2/3 of the total amount = $6
Total amount =$6x3/2
                      =$9
if a burritto is twice as much as water the the water is two dollars. if Ahmed spent 2/3 of his money then( 4+2=6) for burrito and water it means he had nine dollars originally so he is left with 3 dollars.  

I need help with this question

Answers


With all due respect, I'm guessing that you're fine with the question,
but you could use some help on the answer.  Am I right ?

-- The answer has something to do with the total amount the coach spent,
so we'll need to know that amount.   Let's find it now:

(9 chickens) x ($5 each) = $45 for chicken
(15 burgers) x ($6 each) = $90 for burgers

Total amount he spent:  ($45 + $90) = $135 all together  ( nice coach ! )

What part of it was used for the chickens ?
Remember, he spent  $45  for chickens.

   $45 / $135  =  1/3  =  0.33333....  =   ( 33 and 1/3 ) percent

Now I'm wondering ... it doesn't say anywhere in the problem ...
do you think he gave any of that food to the team ?
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