Answer:
Step-by-step explanation:
let x and y be the sides of the rectangle.
2(x+y)=44
x+y=44/2=22
y=22-x
1 tile=1 sq. ft.
120 tiles=120 sq.ft.
area=120 sq.ft.
xy=120
x(22-x)=120
22x-x²=120
x²-22x+120=0
x²-12x-10x+120=0
x(x-12)-10(x-12)=0
(x-12)(x-10)=0
x=12,10
if x=12
y=22-12=10
if x=10
y=22-10=12
floor dimensions are 12 ft ×10 ft
The volume of any prism is given by
.. V = Bh . . . . B is the area of the base, h is the height
You have
.. 300 = B*3
.. 300/3 = B = 100
The area of the base is 100 square units.
Answer:
4 cookies
Step-by-step explanation:
Let the number of cookies he sold be c and that of brownies be b.
Assuming that brownies and cookies are the only type of baked goods sold,
b +c= 10 -----(1)
Amount of money received= $20
b(cost of brownie) +c(cost of cookie)= $20
2.50b +1.25c= 20 -----(2)
From (1): b= 10 -c -----(3)
Substitute (3) into (2):
2.50(10 -c) +1.25c= 20
Expand:
2.50(10) +2.50(-c) +1.25c= 20
25 -2.50c +1.25c= 20
-1.25c +25= 20
Being constants to 1 side:
-1.25c= 20 -25
-1.25c= -5
c= -5 ÷(-1.25)
c= 4
Thus, Joe sold 4 cookies.
Answer:
The number of dimes is 3n - 8
Step-by-step explanation:
Here, we are interested in writing an expression for the number of dimes.
We proceed as follows;
Now, there are n nickels with the number of dimes been 8 less than 3 times the number of nickels
That would be;
3(n) -8 = 3n -8
