Answer:
x = 10
Step-by-step explanation:
-8(-3 + x) = -56
Distribute the -8 into the (-3 + x).
24 - 8x = -56
Subtract 24 from both sides.
-8x = -80
Divide both sides by -8.
x = 10.
Proof:
-8(-3 + x) = -56
Substitute variable.
-8(-3 + 10) = -56
Add inside parenthesis.
-8(7) = -56
Multiply.
-56 = -56
This has to do with ratio's.
MQ : QN = 2 : 5
MQ : QN = LP : PN
2 : 5 = 3 : PN
That means PN = 15/2
Answer:
3b: 1/26
4i: 1/4
4ii: 1/13
4iii 1/13
4iv: 1/13
4v: 3/13
Step-by-step explanation:
3b. there are 26 letters in the alphabet, and there is only 1 S, thus the answer is 1/26
4i: There are 13 cards in each suite, so there is a 13/52 = 1/4 chance.
4ii: There are four aces (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iii: there are four 7's (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iv: there is a king in each of the suites, therefore the answer is 4/52 = 1/13
4v: there are a total of 12 court cards (4 kings, 4 queens, and 4 jacks) thus the answer is 12/52 = 3/13