Answer:
10k^2 - 13k - 3
Step-by-step explanation:
( 5k + 1 ) ( 2k - 3 )
= 5k ( 2k - 3 ) + 1 ( 2k - 3 )
= 10k^2 - 15k + 2k - 3
= 10k^2 - 13k - 3
She has 50 stacks with 10 pennies in each, so multiply 50 by 10
50*10 = 500
so she has 500 pennies in total.
The first step would be applying the distributive property.
2x - 1(5 - 3x) = 4x + 2
Distributive property.
2x - 5 + 3x = 4x + 2 is what the equation looks like after successfully applying the distributive property.
The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here the event is the alarm clock running out of power. There are 24 hours during which the power can go out. You are asleep during 8 of these. A "favorable" outcome in this case is the power going out while you are sleeping -- that is, during one of those 8 hours. This makes the probability that the power goes out while you are sleeping 8/24.
Answer:
Step-by-step explanation:
The area of a triangle is related to the base and height by ...
A = 1/2bh
Filling in the given information, we can find the base from ...
199.5 = (1/2)(b)(b+2)
399 = b^2 +2b . . . . multiply by 2
400 = (b +1)^2 . . . . add 1 to complete the square
20 = b +1 . . . . . . . . take the positive square root
19 = b . . . . . . . . . . . subtract 1
h = b+2 = 21
The base of the triangle is 19 feet and the height is 21 feet.
