Answer:
Each oven is discounted by $20.
Step-by-step explanation:
Original price of oven in dollars = 
To find total cost for 9 such ovens without discount we will apply unitary method.
If 1 oven costs in dollars =
Then 9 ovens will cost in dollars = 
The ovens are purchased by a restaurant supplier at some discounted price.
The new price after discount in dollars = 
We see that the total cost of 9 ovens which was originally 
has been decreased to 
after discount.
The decrease amount is the discount amount on 9 ovens which is = $180
To find discount offered on each oven, we will again use unitary method.
Discount on 9 ovens = $180
∴ Discount on 1 oven = 
∴ Each oven is discounted by $20.
If you have a number x then the consecutive number is x+1
the multiplication of two consecutive numbers can then be written as x*(x+1)=...
if you find an integer solution for this equation you can write the number as two consecutive integers multiplied with each other, if not you found the exception you are looking for
E)
x(x+1)=9900
x²+x=9900
-> complete square
x²+x+(1/2)²=9900+(1/2)²
(x+(1/2))²=9900+(1/4)
x+(1/2)=sqrt(9900+(1/4))
x=sqrt(9900+(1/4))-(1/2)
x=99
->9900=99*(99+1)=99*100
if we replace 9900 in the last lines with the other numbers we can check them quickly too:
F)
x=sqrt(15750+(1/4))-(1/2)
x=125
->15750=125*(125+1)=125*126
G)
x=sqrt(20448+(1/4))-(1/2)
x=142.497...
->not an integer
->can not be written as two consecutive numbers multiplied
H)
x=sqrt(38612+(1/4))-(1/2)
x=196
->38612=196*(196+1)=196*197
so G is the only number which can not be written as two consecutive integers
The area of the circle is 6,358.5cm²
<h3>Area of the circle</h3>
The formula for calculating the area of a circle is expressed as;
r is the radius = x + y
r = 25 + 20 = 45cm
Substitute the given parameters into the formula to have:
A = 3.14(45)²
A = 6,358.5cm²
Hence the area of the circle is 6,358.5cm²
Learn more on area of a circle here; brainly.com/question/10645610
Answer:
b=A/h
Step-by-step explanation:
To isolate b, you need to divide both sides by h. Therefore:
A=bh
b=A/h
Hope this helps!
