Answer:
Step-by-step explanation:
This problem is similar to many others in which the sum of two quantities and their difference are given. The solution can be found easily when the equations for the relations are written in standard form.
<h3>Setup</h3>
Let s and h represent numbers of sodas and hot dogs sold, respectively. The given relations are ...
- s +h = 235 . . . . . combined total
- s -h = 59 . . . . . . difference in the quantities
<h3>Solution</h3>
Adding the two equations eliminates one variable.
(s +h) +(s -h) = (235) +(59)
2s = 294 . . . . simplify
s = 147 . . . . . .divide by 2
h = 147 -59 = 88 . . . . h is 59 less
147 sodas and 88 hot dogs were sold.
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<em>Additional comment</em>
The solution to a "sum and difference" problem is always the same. One of the numbers is half the sum of those given, and the other is half their difference. ((235-59)/2 = 88)
For this case what you should know is that the vector ab will be given by:
ab = b-a
We have then:
ab = (3, 5) - (- 2, 4)
ab = ((3 - (- 2)), (5-4))
ab = (5, 1)
Equivalently the vector is:
ab = 5i + 1j
Answer:
ab = 5i + 1j
I believe its D hope this helps
Answer:
Step-by-step explanation:
5y - 2y = 10
3y = 10
y = 10/3 = 3⅓
1.5 hour = 90 minute. Each 10 minute =2.4 miles so it's 2.4•9=21.6 The answer the person can bikes 21.6 miles in 1.5 hours.