When x = - 4 then
y = 1/2(-4) -6
y = -2 - 6
y = -8
solution (-4, -8)
answer is
B. (-4, -8) second choice
Answer:
the answer is option A
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Step-by-step explanation:
S= number of small boxes
l= number of large boxes
equation 1: s+l=120
equation 2: 15s+45l=3300
solve by elimination, multiply equation 1 by -15.
-15(s+l=120) = -15s-15l=-1800 add to equation 2.
-15s+15s-15l+45l=-1800+3300 = 30l=1500
30l=1500 , l=50
s+l=120, s+50=120 --> s=70
Answer:
Choice A
1/17; no, they are dependent events
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Explanation:
There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade
If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total.
Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17
The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.
Answer:
George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs
Step-by-step explanation:
From the above question:
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.
Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )
Use the order of operations to simplify this expression.
Using the order of operations we have:
=$ 15 - (9 + 2.65 + 1.35 + 2(1.74) )
= $15 -( 9 + 2.65 + 1.35 + 3.48 )
=$ 15 - (16.48)
= $-1.48
George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs
