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Delicious77 [7]
3 years ago
6

Cedric plans to ride his bicycle 2 miles to a park and then ride several times around a loop in the park that is 5 miles long. T

hen he'll ride the same way home. He wants to ride a total of at least 19 miles. The inequality 5t+4>19 models this situation, where t is the number of times Cedric rides around the loop.
Solve the inequality. How many times does Cedric need to ride around the loop?

A. 3 or more times
B. At most 4
C. At most 3 times
D. 4 or more times
Mathematics
1 answer:
kherson [118]3 years ago
7 0
5t+4>19------------------ > 5t > (19-4)
5t > (19-4)----------------- > 5t >15---------------- > t >15/5------ > t >3

the solution of this inequality is (3, ∞)

the answer is D. 4 or more times
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uysha [10]
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:

30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.

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maksim [4K]

Answer:

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7 0
2 years ago
Let f(x) = 5x ^ 2 - x + 1 and g(x) = - 3x . Evaluate the composition (fg)(1)
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F(x) = 5(-3x) ^2 - (-3x) + 1
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3 years ago
Read 2 more answers
2 Select the correct answer. Consider functions f and g. Which statement gives the best approximation of the solutions of the eq
kaheart [24]
  • Answer: are c and d

Step-by-step explanation: I think not sure.

6 0
2 years ago
Correct Answers only please!
Tcecarenko [31]

Answer:

C. $97

Step-by-step explanation:

The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.

average wage for 15 days = (sum of wages for the 15 days)/15

The amount of wages during a number of days is the product of the average wage of those days and the number of days.

First 7 days:

average wage: $87

number of days: 7

total wages in first 7 days = 7 * $87/day = $609

Last 7 days:

average wage: $92

number of days: 7

total wages in last 7 days = 7 * $92/day = $644

8th day:

wages of the 8th day is unknown, so we let x = wages of the 8th day

total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)

total wages of 15 days = 609 + x + 644 = x + 1253

average wage for 15 days = (sum of wages for the 15 days)/15

average wage for 15 days = (x + 1253)/15

We are told the average for the 15 days is $90/day.

(x + 1253)/15 = 90

Multiply both sides by 15.

x + 1253 = 1350

Subtract 1253 from both sides.

x = 97

Answer: $97

3 0
3 years ago
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