When solving Systems of linear equations, sometimes there is one solution,and sometimes there infinite solutions. Why does this happen?

Answers

Answer 1

Answer:

Answer: If you were to graph the solution it would be evident. One solution is when the lines meet at one point, no solution is when the lines are parallel to each other (they do not touch) and infinitely solutions happens when the two lines are on top of each other.

Step-by-step explanation:

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A pack of paper costs $3.75 including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write an inequality to solve for the number of packs of paper Mr. Cooper can purchase with his budget.

Answers

Answer:

$3.75x\leq 20$

5 packs of paper.

Step-by-step explanation:

Let x be the number of packs of paper.

We have been given that a pack of paper costs $3.75 including tax. The price of x paper packs would be $3.75x$ .

Since Mr. Cooper has a $20 budget, so the cost of x paper pack should be lees than or equal to 20.

We can represent this information in an inequality as:

$3.75x\leq 20$

$(3.75x)/(3.75)\leq (20)/(3.75)$

$x\leq 5.333$

Since we can purchase whole number of paper packs, therefore, Mr. Cooper can purchase 5 packs of paper with his budget.

3.75p<=20

divide by 3.75

p < 5 1/3

he can purchase 5 packs of paper

The prime number 19 is the average of which two different prime numbers?

Answers

31 and 7. Multiply 19 by 2 to figure out the number your adding to :)

7 + 31 = 38 and to find the average ÷ by 2 = 19

What are the differences between 0.08 and 0.8

Answers

0.8 is greater than 0.08, the reason for that is that 0.8 is equal to 8/10=80/100 and 0.08 is equal to 8/100. As a percentage, 0.8 would be 80% and 0.08 would be equal to 8%.

A cylinder has a radius of 8 cm and a height of 14 cm.What is the volume of the cylinder?

A.
112π cm3

B.
224π cm3

C.
896πi cm3

D.
3584π cm3