Answer: 44 bowls
Step-by-step explanation:
94.6 divided by 2.15 = 44 bowls of soup
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Answer:
(- 1, 1) and (- 5, - 35)
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )
2x² + 12x + 10 = 0 ( divide all terms by 2 )
x² + 6x + 5 = 0 ← in standard form
(x + 1)(x + 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 5 = 0 ⇒ x = - 5
substitute these values into either of the 2 equations and solve for y
x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )
x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )
None of the given options
Creditor 3 should receive only the minimum payment of $25. In the avalanche method, the debtor pays only the minimum payments, then pays the rest of their money to the creditor with the highest interest rate. Creditor 2 has the highest interest rate.
Answer: (a) 
(b) 
(c) 
(d) 
Step-by-step explanation:
Properties of exponents :
1) 
2) 
3) 
4) 
Now , we simplify the given expression using the above properties.
a) 
[By property (1)]
[∵ (+)(-)=(-)]
b) 
[By property (3)]
[∵ (-)(-)=(+)]
c) 
[By property (2)]
[By property (4)]
d) 
[By property (3)]
Answer:
Statement: ∠XYZ = ∠ABC Reasons: Below
Step-by-step explanation:
For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.
