X=0.85 and -5.85 is the answer, that's all of the work
15 > x = 9 I'm pretty sure
The tax is $18.90
(9/100) x 120 = $18.90
hope i helped :)
Answer: 64 gallons
Step-by-step explanation:
Let he mixed x gallons of 25%-concentrated teal dye with 16 gallon of 15%-concentrated teal dye to make 23%-concentrated teal dye.
Thus, the total quantity of the resultant dye = (16+x) gallon
Also,
The concentration of 25%-concentrated teal dye + the concentration of 15%-concentrated teal dye = The concentration of 23%-concentrated teal dye.
⇒ 25 % of x + 15 % of 16 = 23 % ( x + 16 )
⇒ 25 of x + 15 of 16 = 23 ( x + 16 )
⇒ 25 x + 15 × 16 = 23 x + 23 × 16
⇒ 25 x + 240 = 23 x + 368
⇒ 25 x + 240 - 23 x = 368
⇒ 2 x = 368 - 240
⇒ 2 x = 128
⇒ x = 64
Hence, the quantity of 25%-concentrated teal dye = 64 gallons
Answer:
There are 52 cards in a deck. Four kings and 13 clubs. So the probability of choosing a king or a club is 17/52. The probability that it's both a king and a club is 1/52 because it's only one king that's a club. Hence for drawing a card from a deck, each outcome has probability 1/52. The probability of an event is the sum of the probabilities of the outcomes in the event, hence the probability of drawing a spade is 13/52 = 1/4, and the probability of drawing a king is 4/52 = 1/13.
Step-by-step explanation:
