let the length of each shorter side be x
length of longer side= x+14
2(x+14) + 2x = 48
2x + 28 + 2x = 48
4x + 28 = 48
4x = 48-28
4x = 20
x = 5
shorter side = 5cm
Answer:
Step-by-step explanation:
r = 3 in
h = 7 in
volume of cone = ⅓πr²h = 21π in³
cylinder has radius r = 3 and height h.
volume of cylinder = πr²h = 9πh in³
volume of cylinder is two times the volume of cone
9πh = 2×21π
9h = 42
h = 42/9 = 4⅔ in
Answer:
1. 2x + 3y = 240 AND x + y = 100
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
Step-by-step explanation:
Let
Number of cups of lemonade sold = x
Number of cups of orange juice sold = y
The system of equation could be represented by:
2x + 3y = 240 (1)
x + y = 100 (2)
from (2)
x = 100 - y
Substitute into (1)
2x + 3y = 240 (1)
2(100 - y) + 3y = 240
200 - 2y + 3y = 240
- 2y + 3y = 240 - 200
y = 40 cups
Substitute y = 40 into (2)
x + y = 100 (2)
x + 40 = 100
x = 100 - 40
x = 60 cups
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
(x, y) = (60, 40)
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