Answer:
We must think that the cars are traveling 630 miles in six hours.
Their combined speeds are x and x+25.
distance = velocity * time
Since, velocity = distance / time
(x + x + 25) = 630 / 6
2x + 25 = 105
2x = 80
So x = 40 mph and the other car's velocity is 65 mph.
Step-by-step explanation:
Time it took Hector to complete 18 miles is given by 18 / 12 = 1.5 hours.
Let the time when Wanda will catch up to Hector be t, then, the distance covered by Hector at the time they meet is 18 + 12t and the distance covered by Wanda at the time they meet is 16t.
Then, 18 + 12t = 16t
16t - 12t = 18
4t = 18
t = 18 / 4 = 4.5
Therefore, Wanda will catch up with Hector after 4.5 hours.
150 grams weigh more than 5 ounces
Answer:
1.) (11, -7/3), 2.) No solution. 3.) (1, 3)
Step-by-step explanation:
1.)
2x + 3y = 15
x - 3y = 18
Solve...use elimination method
2x + x + 3y - 3y = 15 + 18
3x = 33
x =11
11 - 3y = 18
-3y = 7
y = -7/3
(11, -7/3)
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2.) y = 4x + 4
y = 4x - 4
Use substitution.
4x + 4 = 4x - 4
4 = -4 FALSE NO Solution
3.) y = 5- 2x
4x + 3y = 13
Can use elimination method
2y = 10 - 4x
add it to 4x + 3y = 13
10 + 3y = 2y + 13
y = 3
3 = 5 - 2x
x = 1
(1, 3)
the y-intercept would be -11 because slope-intercept formula is always like this; y = mx+b. b is y-intercept and m is slope. so therefore, it would be -11
