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3 years ago

Classify the system of equations 1/3x+y+5=0 1/2x+y-3=0

Mathematics

1 answer:

Pavel [41]3 years ago

6 0

Answer: Consistent and Independent.

Step-by-step explanation:

1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.

2. As you can observe in the graph the lines intersect each other, this means that the system of equation has one solution.

3. By definition, when a system of equations has one solution, it is classified as Consistent and Independent.

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James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 w

nlexa [21]

Answer:

James sold 300 tickets for adults

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of tickets sold by James = 450

Cost of a child ticket = $ 2

Cost of an adult ticket =$ 5

Amount of money collected by James after selling the 450 tickets for the community play = $ 1,800

2. How many tickets for adults did James sell?

x = Number of adult tickets James sold

450 - x = Number of children tickets James sold

For solving for x, we write this equation:

5x + 2 * (450 - x) = 1,800

5x + 900 - 2x = 1,800

3x = 1,800 - 900

3x = 900

x = 900/3 = 300

450 - x = 450 - 300 = 150

James sold 300 tickets for adults and 150 for children

7 0

3 years ago

HELP ME ASAP, DUE TODAY!!!!!! WILL MARK BRAINIEST

lana [24]

Answer:

Q' = ( 1, 3 )

R' = ( 3, -3)

S' = ( 0, -2)

T' = ( -2, 1 )

4 0

2 years ago

(08.03)

Alik [6]

Answer:

Option D, (x + 2)(x - 6)

Step-by-step explanation:

Step 1: Factor

x^2 - 4x - 12

x^2 - 6x + 2x - 12

(x - 6)(x + 2)

(x + 2)(x - 6)

Answer: Option D, (x + 2)(x - 6)

8 0

3 years ago

A department store is having a sale in which every item is 38% off its original price. The regular price of a suit is $112. How

lara [203]

Answer: $42.56

Step-by-step explanation:

Percent discount in department store = 38%

The regular price of suit = $112.

Price taken off the regular price of the suit =

38% of $112

So, 38% of $112

= (38/100) x $112

= 0.38 x $112

= $42.56

(i.e the customer will pay $112 - $42.56 = $69.44 only for the suit)

Thus, the price taken off the regular price of the suit is $42.56

3 0

3 years ago

Blueberries are on sale for $2.80 per pint. The regular price is $3.50 per pint. What is the percent of decrease?

maks197457 [2]

The answer is 7% because the sale amount was .70 cents.

3 0

2 years ago