Juan's time = x
Yumi's time = x + 2
Yumi's distance = 3 miles
Juan's distance = 2 miles
Rate = distance/time
Juan's rate = 2/x
Yumi's rate = 3/(x + 2)
The rates are equal so:
2/x = 3/(x + 2)
2x + 4 = 3x
x = 4 hours
Yumi's time = 4 + 2 = 6 hours
The answer is D.
34. x - 3 = 8x + 4
-3 - 4 = 8x - x
-7 = 7x
-7/7 = x
-1 = x
y = x - 3
y = -1 - 3
y = -4
solution is (-1,-4)
===================
35. -6 = -x - 2y
x = -2y + 6
2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y
2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2
solution is (-2,4)
==================
36. 4x + 6y = 2000
x + y = 410
==================
37. 4x + 6y = 2000
x + y = 410......multiply by -6
----------------------
4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance
Answer:
20 tickets
Step-by-step explanation:
tickets/total tickets * 100% = 10% chance to win the raffle
x/200*100=10
solve for x
x/200 = 10/100
x = 200(0.1)
x = 20
Answer: Center: (0,0)
Vertices: ( √3 , 0 ) , ( − √3 , 0 )
Foci: ( √6 , 0 ) , ( − √6 , 0 )
Eccentricity: √2
Focal Parameter: √6/2
Asymptotes: y = x , y = − x
How to: Rewrite in vertex form and use this form to find the vertex ( h , k ) .
Have a great day and stay safe !
<h2>
The product of the rational expressions
.</h2>
Step-by-step explanation:
We have,
To find, the product of the rational expressions = ?
∴
= 
= 
= 
= 
Thus, the product of the rational expressions .
