Answer:
6/20 and 9/30
Step-by-step explanation:
Any fraction that can be simplified to 3/10 by dividing the numerator and the denominator is considered equivalent. If you look at the fractions above 6/20 is literally the same thing as 3/10 but I just multiplied the 3 and 10 times 2. As long as you multiply/divide both the numerator and the denominator by the same number the answer you get should be equivalent.
Answer:
C. x + 2y = 10
-4x - y = 2
Step-by-step explanation:
A. quickest way is to plug in -2, 6 and see which one works
B. this is the other way
1. x + 2y = 10
-4x - y = 2
2. multiply 4 with x + 2y = 10 so i can get 4x + 8y = 40
i want +4x so i can cancel with the -4x in -4x - y = 2
3.
4x + 8y = 40
-4x - y = 2
--------------------
7y = 42
y = 6
4. then plug in 6 into an equation to get x
-4x - y = 2
-4x -6 = 2
-4x = 8
x = -2
Answer:
9 cm
Step-by-step explanation:
Given that angle Y = 90 means that the triangle is a right angle triangle
If angle X = 30 degrees and xz =18 cm
xz is the hypotenuse side while zy is the opposite side considering the angle at X
Hence using the notation SOH CAH TOA
SOH
Sin X = zy/xz
Substituting
Sin 30 = zy/18
cross multiply
zy = 18 sin 30
zy = 18 * 0.5
= 9 cm
Answer is D.
As we can observe, in column y
3,4,6,10,18
4-3 = 1
6-4 = 2
10-6 = 4
18-10 = 8
Answer:
probability that the card is a Queen or a diamond= 0.3269
Step-by-step explanation:
There are 4 queen in a deck of cards and 13 diamond in a deck of cards.
And a deck of cards contains 52 cards total.
Probability of the card selected to be a queen = number of queen/total number of cards
Probability of the card selected to be a queen =4/52
Probability of the card selected to be a queen= 1/13
Probability of the card selected to be a diamond= number of diamond/ total number of cards
Probability of the card selected to be a diamond=13/52
Probability of the card selected to be a diamond=1/4
probability that the card is a Queen or a diamond= Probability of the card selected to be a queen + Probability of the card selected to be a diamond
probability that the card is a Queen or a diamond= 1/13+1/4
probability that the card is a Queen or a diamond= 0.3269
