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jonny [76]
3 years ago
5

Jessica went shopping and bought a pair of jeans that were on sale for 25% off the original price of $23.98. A 6% tax was also a

dded on to the sale price. Enter the total amount that Jessica spent on the jeans. Round your answer to the nearest cent, if necessary.
Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

$19.07

Step-by-step explanation:

First off we need to find the discounted price of the jeans that Jessica bought.

We find the discount by multiplying the original price by 25% or 0.25

Discount Price = 23.98 x 0.25

Discount Price = 5.99

Now we subtract the discount from the original price.

Discounted Price = 23.98 -5.99

Discounted Price = 17.99

Now that we have the discounted price, we then compute for the sales tax.

Sales Tax = 17.99 x 0.06

Sales Tax = 1.08

Then we add the sales tax to the discounted price.

Total Price = 17.99 + 1.08

Total Price = $19.07

Jessica spent $19.07 on the jeans.

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2 years ago
The height of a triangle is half the length of its base. The area of the triangle is 12.25cm. Find the height
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Answer:  The height of the triangle is:  " 3.5 cm " .
_______________________________________________________
<u>
Note</u>:
 The formula/equation for the area, "A" , of a triangle is:

           A = (1/2) * b * h  ;  or write as:  A = (b * h) / 2 ; 
_________________________________________________
 in which:   "A = area of the triangle" ; 
                  "b = base length" ; 
                  "h = "[perpendicular] height" ; 
_________________________________________________
     Given:  h = (b/2) ;
                  A = 12.25 cm²
{Note:  Let us assume that the given area was "12.25 cm² " .}. 
_________________________________________________
 We are to find the height, "h" ; 

The formula for the Area, "A", is:   A = (b * h) / 2 ; 

Let us rearrange the formula ;
 to isolate the "h" (height) on one side of the equation; 

→ Multiply EACH side of the equation by "2" ; to eliminate the "fraction" ; 

2*A = [ (b * h) / 2 ] * 2 ; 

   to get:   " 2A = b * h " ; 

↔    " b * h = 2A " ; 

Divide EACH SIDE of the equation by "b" ; to isolate "h" on one side of the equation: 

        →  (b * h) / b  = (2A) / b ; 

to get: 
  
        →   h  =  2A / b ; 

Since  "h = b/2" ; subtitute "b/2" for "h" ; 
 
Plug in:  "12.25 cm² " for "A" ;

       →  b/2  =  2A/b ;   →  Note:  " 2A/b = [2* (12.25 cm²) ] / b " ;

Note:  " 2* (12.25 cm²) = 24.5 cm² ; 

Rewrite as: 

       →  b/2  =  (24.5 cm²) / b ;
_____________________________________
Cross-multiply:   b*b = (24.5 cm²) *2 ; 

to get:   b² = 49 cm² ; 

Take the "positive square root" of each side of the equation" ; 
            to isolate "b" on one side of the equation ; & to solve for "b" ; 

             →  +√(b²)  =  +√(49 cm²) ; 

             →  b = 7 cm ; 

Now, we want to solve for "h" (the height) :
_________________________________________________________
             →  h = b / 2 = 7 cm / 2 = 3.5 cm ; 
_________________________________________________________
Answer:  The height of the triangle is:  " 3.5 cm <span>" .
</span>_________________________________________________________
6 0
3 years ago
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