Answer:
7 18-inch wreaths
26 22-inch wreaths
Step-by-step explanation:
Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.
We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:
y = 5 + 3x
We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:
20x + 25y = 790
Now, let's substitute 5 + 3x in for y in the second equation:
20x + 25y = 790
20x + 25(5 + 3x) = 790
20x + 125 + 75x = 790
95x + 125 = 790
95x = 665
x = 7
Plug this value into y = 5 + 3x to find y:
y = 5 + 3x
y = 5 + 3 * 7 = 5 + 21 = 26
So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.
Hope this helped :)
Check the image below for working
Answer: 1. y=4
Step-by-step explanation:
for 1. if x = -2 then the problem becomes -2(y) = -8 and -2 x 4 = -8
We know that
area of the composite figure=area of the rectangle+area of semicircle
area of rectangle=b*h
b=10 ft
h=6 ft
area rectangle=10*6----> 60 ft²
area of semicircle=pi*r²/2
r=6/2----> 3 ft
area of semicircle=pi*3²/2-----> 14.13 ft²
area of the composite figure=[60+14.13]-----> 74.13 ft²-----> 74 ft²
the answer is
74 ft²
