Answer:
half- an hour
Step-by-step explanation:
Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = 
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
Answer: note I will just replace the Shape by an X
a) X + 9 = 9 + 6; X=6 Commutative Propertie
b) 0 + X = 7; X=7 Additive Identity Propertie
c) X + (7 + 3) = (4 + 7) + 3; X=4 Associative Propertie
Step-by-step explanation:
There are four mathematical properties which involve addition. Commutative, associative, additive identity and distributive properties.
Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends.
Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
Additive Identity Property: The sum of any number and zero is the original number.
Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Hzbxhsjsodojdnxnxkdodoejxncnccjkdjccnnc
