Answer:
5 or 6
Step-by-step explanation:
So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.
then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:
Since the time is 6/x-2 or 15/x
15/x-6/x-2=1
multiply everything to get a common denominator then cancel it out to get
(15x-30)-6x=x^2-2x
11x-30=x^2
x^2-11x+30=0
(x-5)(x-6) is factored form.
so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h
Answer:
Trapezoid
Quadrilateral
Step-by-step explanation:
Answer:
A is the answer
Step-by-step explanation:
What you do is you cross multiply 24x4 which equals 96. Then, you divide by 16. Which gives us: m = 6
Answer:
x = -2 y= -8 and 8
Step-by-step explanation:
Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.
<u>To find x:</u>
<u>If you do (3x - 2y = 10) - (5x + 2y = 6),</u> you will get -2x=4. Divide both sides by -2, and get x = -2.
<u>If you do (5x + 2y = 6) - (3x - 2y = 10)</u>, you will get 2x=-4.Divide both sides by 2, and get x = -2.
<u>To find y:</u>
Substitute -2 for x in either equation. It doesn't matter.
<u>For 3(-2) - 2y = 10:</u>
3(-2) - 2y = 10 ––Multiply
-6 - 2y =10 ––Add 6 to both sides to get y alone
-2y = 16 ––Divide by -2
y = -8
<u>For 5x + 2y = 6:</u>
5(-2) + 2y = 6 ––Multiply
-10 + 2y = 6 ––Add 10 to both sides to get y alone
2y = 16 ––Divide by 2
y = 8
Answer: 200 adult tickets and 400 student tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $850, the expression would be
1.75x + 1.25y = 850- - - - - - - - - -1
Suppose there are twice as many student tickets sold as adult tickets. This is expressed as
y = 2x
Substituting y = 2x into equation 1, it becomes
1.75x + 1.25 × 2x = 850
1.75x + 2.5x = 850
4.25x = 850
x = 850/4.25
x = 200
y = 2x = 2 × 200
y = 400
