Answer:
(1.5, 3)
Step-by-step explanation:
Given the 2 equations
2x + 3y = 12 → (1)
y = x + 1.5 → (2)
Substitute y = x + 1. 5 into (1)
2x + 3(x + 1.5) = 12 ← distribute and simplify left side
2x + 3x + 4.5 = 12
5x + 4.5 = 12 ( subtract 4.5 from both sides )
5x = 7.5 ( divide both sides by 5 )
x = 1.5
Substitute x = 1.5 into (2) for corresponding value of y
y = 1.5 + 1.5 = 3
Solution is (1.5, 3)
Here, we are required to determine how many hours your friend will drive in order to catch you.
(a)<em> Your friend will have to drive 7 and a half hours inorder to catch </em><em>you.</em>
<em>(</em><em>b)</em><em> </em><em>You </em><em>both </em><em>will </em><em>be </em><em>6</em><em>7</em><em>5</em><em> </em><em>miles</em> <em>away </em><em>from </em><em>Ellensburg</em><em> </em><em>at </em><em>that </em><em>time.</em>
If you leave at 1 pm; At 2:30pm;
- That is; 1 and a half hours after leaving; you must have covered a distance, d = 75 × 1.5
- d = 112.5miles.
Therefore, your position; S after 2:30pm is given by;
S(a) = 75t + 112.5 miles from Ellensburg.
For your friend; travelling at 90miles/hr;
- His position is given as; S(b) = 90 × t
(a) For your friend to catch you, you both must be in the same position;
75t + 112.5 = 90t
90t -75t = 112.5
t = 112.5/15
t = 7.5hours
(b) To determine how far you both are from Ellensburg; we can either evaluate:
S(b) = 90t or S(a) = 75t + 112.5
Therefore, By evaluating S(b) = 90t.
S(b) = 90 × 7.5
S(b) = 675miles from Ellensburg.
Read more:
brainly.com/question/24234606
7 7/8 + 5 13/16
We must have a common denominator between the 2 fractions.
8 can go into 16.
7 x 2 = 14
8 x 2 = 16
The fraction is now 14/16 rather than 7/8.
14/16 + 13/16 = 27/16 = 1 11/16
7 + 5 = 12
12 + 1 11/16 = 13 11/16.
The final sum is 13 11/16.
Answer:
x=30
Step-by-step explanation:
You have to isolate for x. This means you need to somehow get x on one side of the equation all alone. In this case it is x-9=21 which means some unknown number x with 9 subtracted from it is equal to 21. When we bring the -9 over to the other side to get the x all alone, we have to switch the sign of the -9 so it becomes +9. This means x=21+9, and if you add that you'll get 30!
x / 3 ≤ -6
---Multiply both sides by 3 to cancel out the denominator on the left side
x ≤ -18
Hope this helps!
