Answer:
-25 ≠ 21
Step-by-step explanation:
it looks like the question is asking you to solve 5x=4y+9 when given the ordered pair (-5,3)
you would substitute -5 for x and 3 for y in the equation
5(-5) = 4(3) + 9
-25 = 12 + 9
-25 = 21
the question is asking you to see if the left side is equal to the right side of the equation
-25 is not equal to 21, therefore (-5,3) is not a solution to the equation
The point of intersection is the point where lines intersect.
<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Given
<em />
<em> --- the number of lines</em>
<em />
<em> --- no three lines are concurrent</em>
<em />
When no three line are concurrent, it means that no three lines meet at the same point.
<u>So, the sequence of intersection is:</u>
- <em>0 intersection for 1 line</em>
- <em>1 intersection for 2 lines</em>
- <em>3 intersections for 3 lines</em>
- <em>6 intersections for 4 lines</em>
<em />
Following the above sequence, the number of intersections for n lines is:
In this case, 
So, we have:
<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Read more about lines of intersections at:
brainly.com/question/22368617
Three would be your answer :)
Answer: 3 pounds
Step-by-step explanation:
The equation can be set up according to slope form: y=mx+b where x represents cost per round.
$70 = $7.51x + $47.47
Subtract 47.47 to both sides: $22.53 = $7.51x
Divide both sides by 7.51: 3 = x
Answer:
The bag contains $5.14
Step-by-step explanation:
18% of 50 = (.18)(50) = 9 pennies
40% of 50 = (.40)(50) = 20 dimes
2 more nickels than pennies = 9 + 2 = 11 nickels
40 coins so far, so 50 - 40 = 10 quarters
Total value:
9 x ($0.01) = $0.09 for pennies
20 x ($0.10) = $2.00 for dimes
11 x ($0.05) = $0.55 for nickels
10 x ($0.25) = $2.50 for quarters
Grand total value = $5.14
