Line JK contains points J (4, 3) and K (1, 5). Line LM contains points L (2, 3) and M (−1, 5). Lines JK and LM are

Answers

Answer 1

Answer: lines JK an LM are parallel

Answer 2

Answer: Lines JK and LM are Parallel.
When you graph them they are pointing in the same direction without intersecting and have the same slope.

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Mr. Wong wants to purchase 12 new smoke detectors for his house. Store A sells each smoke detector for $17 and Store B sells each smoke detector for $24. If Mr. Wong purchases all his smoke detectors at Store A, how much less will he spend than if he purchased all the smoke detectors at Store B?

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The amountlessspend by buying in store Athan in store B is $84

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The number of smokedetectors to be purchased.

= 12

Store A:
Cost of one smokedetector = $17

Cost of 12 smokedetectors.

= 12 x 17

= $204

Store B:

Cost of one smokedetector = $24

Cost of 12 smokedetectors.

= 12 x 24

= $288

Now,

The difference between the cost of 12 smokedetectors from store A to store B.

= $288 - $204

= $84

Thus,

The amountlessspend by buying in store Athan in store B is $84

Learn more about expressions here:

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Answer:

$84

Step-by-step explanation:

so for store A, you would do $17*12 smoke detectors, Which would give you $204. For store B you would do $24*12 smoke detectors. That is $288. Now all you do is 288-204=84. You would save $84 dollars going to store A

The temperature of liters of a ideal gas was increased from 600 to 800 kelvins. If the volume remained constant and the final pressure was 30 atmospheres, what was the initial pressure?

Answers

Answer:

the initial temperature is 22.5 atm

Step-by-step explanation:

The law describing pressure-temperature relationship is the Gay-Lussac's Law.

The Mathematical Form of which is:

=> $(P1)/(T1) = (P2)/(T2)$

Where P1 = ? , P2 = 30 atm, T1 = 600 K and T2 = 800 K

=> $(P1)/(600) = (30)/(800)$

=> P1 = 0.0375 * 600

=> P1 = 22.5 atm

So, the initial temperature is 22.5 atm

What do you get if you multiply 9.1 and 8.31

Answers

Answer:

10.98

Step-by-step explanation:

the answer to 9.1×8.31 is 10.98

What two numbers multiply together equal -40 add together to equal positive 6

Answers

-4 and 10 add to 6 and have a product of -40.

Hope this helps :)

Im trying to figure out how to do this 3t-7=5t,then 6t= i want to know how they get the answer -21

Answers

3t-7=5t
-7=2t |•3
-21=6t

3t-7=5t
3t-5t=7
-2t=7 |·(-1)
2t=-7 |:2
t=-3,5

t=-3,5 |·6
6t=-21

There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball?