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anzhelika [568]
2 years ago
12

Give work for equations following: -x+2y<-4 2x+3y>6 thanks sooooo much!!!!

Mathematics
1 answer:
Schach [20]2 years ago
3 0

Answer: See below

Step-by-step explanation:

A) -x+2y < -4

-x+2y-2y < -4-2y

-x < -4-2y

Multiply both sides by -1 and reverse the inequality:

\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)

x > 4+2y

B) 2x+3y > 6

2x+3y-3y > 6-3y

2x > 6-3y

\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}

x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}

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Answer:

slope = \frac{3}{4}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (9, 6 )

m = \frac{6-3}{9-5} = \frac{3}{4}

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Jaime has 6 quarters and some dimes in his pocket . The total value of the coins in 4.50. How many dimes does he have in his poc
Alexxandr [17]

Hi there! :)

<u>Answer:</u>

Jaime has 30 dimes in his pocket.


Step-by-step explanation:

First off, you need to know that:

A <em>quarter</em> is equal to = <u>$0.25</u>

A <em>dime</em> is equal to = $0.10


Jaime has 6 quarters, which means that he has 6 times $0.25:

6 × 0.25 = <u>$1.50</u>


Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:

4.50 - 1.50 = <u>$3</u>


Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:

3 ÷ 0.10 = <u>30</u> → YOUR ANSWER


There you go! I really hope this helped, if there's anything just let me know! :)

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