Hope this helps
how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions<span> as the </span>one<span> shown.</span><span> 8x + 7y = 39.</span><span> 4x – 14y = –68.
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The student is unable to show<span> that (3, 4) is a </span>solution<span> of the given </span>system<span>. ... of that </span>equation and a multiple of the other produces a system with the same solutions<span>. ... </span>Explain<span> that when </span>one equation<span> in a </span>system<span> is </span>replaced<span> by the </span>sum of that<span> ...</span>
37 as 3×10 is 30 + the left over (7) = 37
(a) Let h and d represent the numbers of packages of Hamburger and hotDog buns, respsectively.
.. h +d = 12 . . . . . . . . . . . . the family brought 12 packages of buns
.. 2.00h +1.50d = 20 . . . . each family contributed $20
(b) Double the first equation and subtract the second one
.. 2(h +d) -(2h +1.5d) = 2(12) -(20)
.. 0.5d = 4 . . . . . . . . . . . . . . . . . . . . . simplify
.. d = 8 . . . . . . . . . . . . . . . . . . . . . . . . multiply by 2
.. h = 12 -d = 4
They brought 4 packages of hamburger buns and 8 packages of hotdog buns.
(c) The number of hotdog bun packages cannot exceed 20/1.5 = 13.3 or the budget will be exceeded.
(d) It depends on the relationship of the variables to the ordered pair.
.. (h, d) = (5, 7) would mean 5 hamburger bun packages and 7 hotdog bun packages
.. (d, h) = (5, 7) would mean 7 hamburger bun packages and 5 hotdog bun packages
(e) Their cost for that purchase would be 7*2.00 +4*1.50 = 14.00 +6.00 = 20. That purchase meets the cost constraint, so is fair from a cost contribution point of view. Whether it is fair from a menu point of view depends on the number of hamburgers and hotdogs that need buns.
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Answer:</h3>
4 miles per hour
<h3>
Step-by-step explanation:</h3>
Unit rate is the rate of something per 1 unit. In other words, the unit rate is x units per 1 unit. In this situation, the unit rate is how many miles Hassan walks in 1 hour.
Proportion
First, to find the rate of anything we can set up a proportion. In the question, the rate is described as miles per hour, so the miles will be the numerator and the hours will be the denominator.
- This creates the proportion
So, the rate we are given is 12/3.
Unit Rate
To find the unit rate we need to make the denominator equal to 1. To do this, divide both the numerator and denominator by 3.
- 12/3 equals 4
- 3/3 equals 1
So, this means that the new proportion is 4/1. Next, we can add our units, which means that Hassan walks 4 miles per 1 hour.
Graph
Now we can resize the bar graph. The purple bar should be set to 4 because this represents the miles. Then, the green bar should be set to 1 because it represents the hours.
Answer:
C.
perpendicular lines intersect in at least two points..
ok im not sure sorry
