Answer:
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Step-by-step explanation:
Let
x = $0.85 per pound
y = $2.70 per pound
x + y = 21 (1)
0.85x + 2.70y = 19.95 (2)
From (1)
x = 21 - y
Substitute x = 21 - y into (2)
0.85x + 2.70y = 19.95 (2)
0.85(21 - y) + 2.70y = 19.95
17.85 - 0.85y + 2.70y = 19.95
- 0.85y + 2.70y = 19.95 - 17.85
1.85y = 2.1
y = 2.1 / 1.85
y = 1.14
Substitute y = 1.14 into (2)
0.85x + 2.70y = 19.95
0.85x + 2.70(1.14) = 19.95
0.85x + 3.078 = 19.95
0.85x = 19.95 - 3.078
0.85x = 16.872
x = 16.872 / 0.85
x = 19.85
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Answer:
√89 or 9.43 units is the distance between Sophia's house and library
Step-by-step explanation:
H (1 ,1) ⇒ House
L(6 , 9) ⇒ Library
Leg₁ = OH = 6 - 1 = 5 units
Leg₂ = OL = 9 - 1 = 8 units
<h3> Pythagorean theorem;</h3>
Hypotenuse² = leg₁² + leg₂²
= 5² + 8²
= 25 + 64
= 89
hypotenuse = √89 units (radical form)
hypotenuse = 9.43 units