(4x−101)(2x+3)
Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.
8x²+12x−202x−303
Combine 12x and −202x.
8x²−190x−303
Answer:
The probability that the second card drawn is red, given that the first card was a heart is 0.1225
Step-by-step explanation:
Total cards in a deck = 52
Total red cards = 26
Heart cards = 13
Probability of getting red card =
Total remaining card = 51
Remaining red cards = 25
Probability of getting red card in second draw without replacement = 
So, the probability that the second card drawn is red, given that the first card was a heart = 
Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225
Answer:
Step-by-step explanation:
4/5 cup of brown sugar. Needs 1/4 cup. How many cups left?
Okay, so 4/5 = 0.80, 1/4=0.25.
0.80-0.25=0.55
Which is 55/100
Divide both numbers by 5
11/20
Answer:
y = 5
Step-by-step explanation:
WY is the perpendicular bisector of XZ and so divides ΔWXZ into 2 congruent triangles ΔWXY and ΔWZY
Hence WZ = WX ← corresponding sides, thus
5y - 8 = 2y + 7 ( subtract 2y from both sides )
3y - 8 = 7 ( add 8 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
Answer:
The correct answer is option D.
Step-by-step explanation:
if the pair of equation has one or more than one solution then it is said to be consistent.
- Only one solution , then independent system.
- More than one solution , then dependent system.
if the pair of equation has no solution then it is said to be inconsistent.
Given : x - 3y = 4 ...[1]
2x - 6y = 8 ...[2]
Solution :
Solving equations with the help of Substituting methods:
x - 3y = 4
x = 4 +3y
Putting value of x from [1] in [2]:



0 = 0
Given , system of equation will have infinite solution. Hence consistent and dependent.
The given system of equations will have infinite solutions.