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uranmaximum [27]
3 years ago
11

Harper has $15to spend at the grocery store.She is going to buy bags of fruit that cost $4.75 each and one box of crackers that

costs$3.50.Write and solve an inequality that models this situation and could be used to determine the maximum number of bags of fruit Harper can buy
Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0

Answer:

The maximum number of fruits bag Harper can buy are 3.

Step-by-step explanation:

Let there be x bags of fruits.

Let there be y boxes of chocolates

Cost of 1 bag of fruit = $4.75

So, cost of x bags = $4.75x

Cost of one box of crackers costs = $3.50

As per the given situation, the inequality forms:

4.75x+3.50y\leq 15

So, the maximum number of bags of fruit Harper can buy, is when she buys no box of cracker.

So, putting y = 0 in above inequality , we have,

4.75x+3.50(0)\leq 15

=> 4.75x+0\leq 15

=> 4.75x \leq 15

x\leq 3.15 rounding to 3.

Hence, the maximum number of fruits bag Harper can buy are 3.

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Mr. Smith traveled to a city 300 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 6
Kryger [21]

Answer: The speed at which he traveled to the city is 69.8 mph

Step-by-step explanation:

Let x represent the speed at which he traveled to the city.

Mr. Smith traveled to a city 300 miles from his home to attend a meeting.

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Time taken to travel to the city is

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Due to car trouble, his average speed on returning was 6 mph less than his speed going. This means that the speed at which he returned is (x - 6) mph. Time taken to return from the city is

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9x² - 54x - 300x - 300x - 1800 = 0

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Applying the general quadratic equation,

x = [- b ± √(b² - 4ac)]/2a

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a = 9

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Therefore,

x = [- - 654 ± √(- 654² - 4 × 9 × 1800)]/2 × 9

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3 0
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