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alex41 [277]
2 years ago
15

​ −7x−2y=14 6x+6y=18 ​ Graph the system of equations.

Mathematics
1 answer:
Maurinko [17]2 years ago
3 0
X= -4
y= 7

you can multiply the top equation by 3, then both y's are cancelled or zeroed out. You add -21 and 6 to get -15x. Than you add 42 and 18 to get 60. So, -15x=60 and from there you do 60/-15 to get x=-4. Plug in what you got for x into any of the two equations to get y, which is 7.
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There are 30 students in Mrs. Woodward’s class, and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of
olga_2 [115]

Answer:

3 students

Step-by-step explanation:

There are 30 students in Mrs. Woodward’s class.

\dfrac{1}{5} of the class has their own cell phone, so

\dfrac{1}{5}\cdot 30=\dfrac{1}{5}\cdot \dfrac{30}{1}=6

students have their own cell phones.

\dfrac{1}{2} of those 6 students are allowed to use social media. So,

\dfrac{1}{2}\cdot 6=\dfrac{1}{2}\cdot \dfrac{6}{1}=3

students are allowed to use social media.

3 0
3 years ago
Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?
Ivan

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

P(A|B)=\frac{P(A \cap B)}{P(B)}

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80

6 0
3 years ago
Which is the equation of a line in point-slope form given the following two points (6,15) and(11,27.5)
aleksklad [387]

Answer:

y = 2.5x + 0

Step-by-step explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

3 0
2 years ago
Solve the equation and explain each step using apropriate Properties<br> -4(3x+6)+6=-30
Lina20 [59]

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

6 0
2 years ago
SOLVE FOR X, EXPLAIN PLEASE URGENT.
devlian [24]
3x-3=27
-3=-3
3x=24
3x/3=24/3
X=8
3 0
3 years ago
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