Let the width be X
Then the length is X + 70
The perimeter is the sum of all sides
There are 2 widths (left side and right side) and 2 lengths (top and bottom)
Perimeter = 2 * width + 2 * length
Perimeter = 2 * X + 2 * (X+70)
Perimeter: 2 X + 2 X + 140 = 380
4 X = 380-140
4 X = 240
X = 240 / 4
X = 60
Width = 60 - the smaller of two sides
Length = X + 70 = 60 + 70 = 130 - the larger of two sides
Check:
<span>
2 * 60 + 2 * 130 = 380 </span>
Answer:
x = 15
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
Thus
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take the square root of both sides )
x =
= 15
Answer:
There are 10 packets of sweet-pepper seeds and 6 packets of hot-pepper seeds.
Step-by-step explanation:
Let h represent the number of packets of hot pepper seeds. Then 16-h is the number of packets of sweet pepper seeds. The total cost of a 16-packet mix is ...
4.56h + 2.32(16 -h) = 3.16·16
2.24h + 37.12 = 50.56 . . . . . . . simplify
2.24h = 13.44 . . . . . . . . . . . . . . subtract 37.12
13.44/2.24 = h = 6 . . . . . . . . . . divide by 2.24
16 -h = 16 -6 = 10 . . . . . . . . . . . number of sweet pepper seed packets
There are 10 packets of sweet-pepper seeds and 6 packets of hot-pepper seeds.
Monday - Friday = 5 days
5 days x 4 weeks = 20 days
20(5+2)=20(7)=140
Mica spends $140 on lunch and breakfast in 4 weeks.