question one is C)
question two is D)
question three is D)
question four is B)
question five is B)
question six is B)
question seven is B)
question eaghit is C)
hope ths helps pleas leave comments to let me know if I got anything wrong.
Equation (1)
Equation (2)
Get y alone in equation (1)
Insert y in equation (2)
Answer:
- n = 5q; 25q+5n = 200
- (n, q) = (20, 4)
- Margie has 20 nickels and 4 quarters
Step-by-step explanation:
a) Using the defined variables, we can translate the problem statements to equations:
- n = 5q . . . . Margie has 5 times as many nickels as quarters
- 25q + 5n = 200 . . . . the total value of Margie's coins is 200 cents
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b) Substituting for n, we have ...
25q +5(5q) = 200
50q = 200 . . . . . . . collect terms
q = 200/50 = 4 . . . divide by the coefficient of q
n = 5·4 = 20
The solution is (n, q) = (20, 4).
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c) Since n represents the number of nickels Margie has, n=20 means Margie has 20 nickels. Similarly, q=4 means Margie has 4 quarters.
Answer:
Hello,
answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)
Step-by-step explanation:
A: delta=12²-4*2*18=0 not negative
B: delta= 5²+4*3*1=37 not negative
C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex
D: delta 16²-4*2*2=240 not negative
Answer:
The correct answer is A) 4/663.
Step-by-step explanation:
First you find the probability of drawing a queen when drawing a single card from a deck of 52 cards. Since there are 4 queens(the queen of diamond, the queen of hearts, the queen of spades, and the queen of clubs) in a deck of 52 cards, the probability of drawing a queen when drawing a single card from a deck of 52 cards is 4/52.
Next you find the probability of drawing a king when drawing a single card from a deck of 51 cards(since you did not replace the first card you drew). Since there are 4 kings(the king of diamond, the king of hearts, the king of spades, and the king of clubs) in a deck of cards, the probability of drawing a king when drawing a single card from a deck of 51 cards is 4/51.
Then you multiply the two probabilities to determine the probability of drawing a queen then a king. So,
4/52 x 4/51 =
4 x 4/52 x 51 =
16/2652
Finally, simplify the fraction. The greatest number that can go into both the numerator and denominator is 4. So divide both the numerator and denominator by 4. When you do this, you get the following:
16 divided by 4 = 4 as the numerator and
2652 divided by 4 = 663 as denominator.
So, the final answer is 4/663.
