Answer:
He purchased 1.8 pounds.
Step-by-step explanation:
Divide 8.10 by 4.50.
8.10÷4.50= 1.8 pounds.
Hope this helped.
Answer:
x=23.5 + -0.5y
Step-by-step explanation:
Simplifying
2x + y = 47
Solving
2x + y = 47
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
2x + y + -1y = 47 + -1y
Combine like terms: y + -1y = 0
2x + 0 = 47 + -1y
2x = 47 + -1y
Divide each side by '2'.
x = 23.5 + -0.5y
Simplifying
x = 23.5 + -0.5y
Answer:
5cm
Step-by-step explanation:
To find the missing side we use the hypotenuse theorem.
a^2 + b^2 = c^2
The longest side of the triangle would be c. So substitute the numbers into the variables.
a^2 + 12^2 = 13^2
a^2 = 13^2 - 12^2
a^2 = 169 - 144
a^2= 25
a = √25
a=5
The missing leg's length is 5cm
Answer:
(X+2) and (X-5)
Step-by-step explanation: (X+3)*x-3(X+3)-10
=(X*2+6X+9)-(3X+9)-10
=X*2+6X+9-3X-9-10
=X*2+3X-10
X=(-b+/-(b*2-4ac)*1/2)/2a
a=1, b=3, c=-10
=-3+/-((3)*x-4(1)9-10))*1/2/2(1)
=-3+/-(9+40)/2
=(-3+/-7)2
Therefore 1. (-3-7)/2, and 2. ((-3+7))/2
1. -10/2=-5, X=-5 therefore (X+5)
2. (4/2)=2, X=2 therefore (X-2)
This is what is known as a derangement - an arrangement in which none of the objects maintain their original position.
For example, with the numbers, 1234, in how many ways can they be arranged so that 1 is NOT in first position, 2 is NOT in second position, etc.
Of the 24 possible permutations of four numbers, there are nine possible derangements:
<span><span>2143 2341 2413
3142 3412 3421
4123 4312 4321</span>
So, the probability that no one gets their own trumpet is
9 out of 24 = 3/8 answer is A
Source:
http://www.1728.org/derange.htm
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