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notsponge [240]
3 years ago
11

Need some help with this question!

Mathematics
1 answer:
Veronika [31]3 years ago
6 0
1. solve for x in first to just find nterms of y

x=12-y
sub that for x in other one
first divide that one by 2 to make it easier
2x-y=18
2(12-y)-y=18
24-2y-y=18
24-3y=18
minus 24 both sides
-3y=-6
divide -3
y=2

D is answer




2.
find intersection of x+y=5 and -2x+3y=6
or easiers, just test the intersections
wait, they all intersect in the same place
this is super easy
pick ANY point that is in that reigon and see if it is true

A, if we pick lets say (5,5)
that is false for x+y<5
not A

B
pick (10,0)
false for first one
not B

C
pick (0,0)
true for first
false for 2nd
not C


D. pick (-10,0)
true for first
true for 2nd


answer is D


answer is D for both questions
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66 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
Dmitrij [34]

Answer:

274560

Step-by-step explanation:

We can "choose" one of the 66 athletes for the gold medal. That athlete can't win any other medals, so there are 65 athletes left.

We can then "choose" one of the 65 athletes left for the silver medal. That athlete can't win any other medals, so there are 64 athletes left.

We can then "choose" one of the 64 athletes left for the bronze medal.

That leaves us with 66 possible choices * 65 possible choices * 64 possible choices=274560 possible choices

8 0
2 years ago
(7p+8)-(5p-2) combine like terms
kotegsom [21]
The answer is:<span>
</span><span>
</span><span>= <span><span>2p</span>+<span>10</span></span></span>
8 0
3 years ago
Perdita goes to the fruit market with $9 to buy avocadoes. Each avocado costs $2. Write and solve an inequality to find the grea
lakkis [162]
Let x= number of avocadoes she can buy
let y= total cost

y= 2x 

9= 2x     9/2= 4.5
4.5= x
(you cannot cut the avocado in half therefore your answer is simply 4)

5 0
3 years ago
Help me please!!!<br><br> Evaluate :<br> 5-3 x when x = - 7
4vir4ik [10]
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5 - (- 21)
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7 0
3 years ago
Suppose that 15% of people dont show up for a flight, and suppose that their decisions are independent. how many tickets can you
geniusboy [140]

Answer: <em><u>157 tickets </u></em>

Explanation:

The people not showing up for the flight can be treated as from Binomial distribution.

The binomial distribution B(n, p) is approximately close to the normal i.e. N(np, np(1 − p))  for large 'n' and for 'p' and neither too close to 0 nor 1 .

Now, Let us assume 'n' = n

and we are given

p=0.15

So now B(n,0.15n) follows Normal distribution

u=n

\sigma^{2} = 0.15n

We have to calculate P(X<144) with 99% accuracy

P(X<144) = P(Z<z)

where;

z= (144-\bar{X})\div \sigma

z score for 99% is 2.33

i.e.  

(144-\bar{X})\div \sigma = (144-n)/\sqrt{np} = 2.33\\\ (144-n)^{2} = \ np*2.33^{2}\\\ 20736 +n^{2} - 288n = 0.15n*5.43\\\ n^{2} - 288.81n + 20736=0

solving this we will get one root nearly equal to 157 and other root as 133

<u><em>Hence the answer is 157.</em></u>

8 0
3 years ago
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