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Novosadov [1.4K]
3 years ago
8

Solve the system of equations -2x+y=5 x-3y=-30

Mathematics
1 answer:
EastWind [94]3 years ago
5 0
-2x+y=5
x-3y=-30 so you can multiply the bottom equation by 2 you'll get 2x-6y=-60

-2x+y=5
2x-6y=-60 And subtract the equations. You'll get -5y=-55 y=11. Plug it in to one of the original equations. -2x+(11)=5 
-2x=-6 so x=3 

y=11 and x=3 
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Does 3 work as a solution to the following inequality? 2n > 6
Ksju [112]

Answer:

No.

Step-by-step explanation:

If n=3 the only thing you get is 6, which is not more than 6.

5 0
2 years ago
Based on a​ poll, among adults who regret getting​ tattoos, 12​% say that they were too young when they got their tattoos. Assum
Tema [17]

Answer:

a.  0.6588

b. 0.3978

c. 0. 279

Step-by-step explanation:

In the given question the success and failure are given the number of outcomes is fixed so binomial distribution can be applied.

Here success=  p = 12 % or 12/100 = 0.12

failure = q= 1-p = 1-0.12 = 0.88

n= 10

Using binomial probability distribution

a. Probability that the number of selected adults saying they were too young is 0 or 1 is calculated as:

P (x=0,1) = 0.12 ⁰(0.88)¹⁰10 C0  + 0.12 (0.88)⁹ 10 C1=  1* 0.279 * 1  + 0.12 ( 0.3165) 10 =  0. 279 + 0.3978=  0.6588

b. Probability that exactly one of the selected adults says that he or she was too young to get tattoos is calculated as

P (x=1) =  0.12 (0.88)⁹ 10 C1=  0.12 ( 0.3165) 10 =  0.3978

c. Probability that none of the selected adults say that they were too young to get tattoos is

P (x=0) = 0.12 ⁰(0.88)¹⁰10 C0  =  1* 0.279 * 1   =  0. 279

4 0
3 years ago
you were given 15$ from your auntie to go to the mall. you spend 6$ on snacks, and 5$ on shirt on your way to the car,you found
Finger [1]
The answer would be 14





Explanation:
If you look on a number line and start from 15 then from there you minus 6 which equals 9 then you minus 5 which equals 4 and add 10 which equals 14 and that 14 is on the positive side of the number line. So 14 is your answer.
5 0
3 years ago
A jar contains 8 4/9 pounds of jam. If Sam eats 3 2/5 pounds of the jam, how many pounds of jam remains in the jar?
zepelin [54]
\bf 8\frac{4}{9}\implies \cfrac{8\cdot 9+4}{9}\implies \cfrac{76}{9}
\\\\\\
3\frac{2}{5}\implies \cfrac{3\cdot 5+2}{5}\implies \cfrac{17}{5}\\\\
-------------------------------\\\\
\cfrac{76}{9}-\cfrac{17}{5}\impliedby \textit{let's use an LCD of 45}\implies \cfrac{5\cdot 76-9\cdot 17}{45}
\\\\\\
\cfrac{380-153}{45}\implies \cfrac{227}{45}\implies \boxed{5\frac{2}{45}}
\\\\\\
5\frac{2}{45}\implies \cfrac{5\cdot 45+2}{45}\implies \cfrac{227}{45}
5 0
3 years ago
Ricardo throws a stone off a bridge into a river below how many seconds after being thrown will the stone reach its maximum heig
pychu [463]

Answer:

0

Step-by-step explanation:

the highest the stone will ever be is in your hand after you throw it the rock will automatically start falling more and more down towards the river which is below you.

Hopefully this helps!

8 0
3 years ago
Read 2 more answers
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