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lutik1710 [3]
3 years ago
14

Mrs. Allen, a high school math teacher, is grading quizzes and tests this weekend. She has at most 4 hours, or 240 minutes, to s

pend
grading, and she would like to get at least 60 quizzes and tests graded. On average, it takes her 3 minutes to grade each quiz and
8 minutes to grade each test,
If x represents the number of quizzes and y represents the number of tests Mrs. Allen grades this weekend, which graph represents
the solution set?
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

(55,9)

Step-by-step explanation:

^

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Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the
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Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

\text{Distance}=\text{Speed}\times\text{Time}

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

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On solving,

Distance apart = 162

\Rightarrow6x+18+6x = 162

\Rightarrow12x=162-18

\Rightarrow x=\frac{144}{12}\rightarrow x=12

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be x+3=12+3=15 \text{ mph}

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3 years ago
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Step-by-step explanation:

They are going at the fastest speed as 9 is the most

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Step-by-step explanation:

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