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Alexeev081 [22]
2 years ago
7

Raina purchased a prepaid phone card for $25. Long distance calls cost 7 cents a minute using this card. Raina used her card onl

y once to make a long distance
call. If the remaining credit on her card is $22.76, how many minutes did her call last?
minutes
Mathematics
1 answer:
Zinaida [17]2 years ago
5 0

Answer:

32 minutes

Step-by-step explanation:

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Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.
iris [78.8K]

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

6 0
3 years ago
Factorise 2x^2 - 9x -5
Nostrana [21]

Answer:

(x-5)(2x+1)

Step-by-step explanation:

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3 years ago
Find the circumference of the circle with the given radius or diameter. (Use 3.14 for π.) Diameter is 10cm
AlladinOne [14]

Answer:


Step-by-step explanationtake the diameter, 10cm and multiply by pi (3.14) and the answer is 31.4

5 0
3 years ago
Determine the parent function
GalinKa [24]
A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
4 0
2 years ago
Find x<br><br> 9x+3+5x-2+11x-21=180
Bess [88]

Answer:

x = 8

Step-by-step explanation:

Simplifying

(9x + 3) + (5x + -2) + (11x + -21) = 180

Reorder the terms:

(3 + 9x) + (5x + -2) + (11x + -21) = 180

Remove parenthesis around (3 + 9x)

3 + 9x + (5x + -2) + (11x + -21) = 180

Reorder the terms:

3 + 9x + (-2 + 5x) + (11x + -21) = 180

Remove parenthesis around (-2 + 5x)

3 + 9x + -2 + 5x + (11x + -21) = 180

Reorder the terms:

3 + 9x + -2 + 5x + (-21 + 11x) = 180

Remove parenthesis around (-21 + 11x)

3 + 9x + -2 + 5x + -21 + 11x = 180

Reorder the terms:

3 + -2 + -21 + 9x + 5x + 11x = 180

Combine like terms: 3 + -2 = 1

1 + -21 + 9x + 5x + 11x = 180

Combine like terms: 1 + -21 = -20

-20 + 9x + 5x + 11x = 180

Combine like terms: 9x + 5x = 14x

-20 + 14x + 11x = 180

Combine like terms: 14x + 11x = 25x

-20 + 25x = 180

Solving

-20 + 25x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '20' to each side of the equation.

-20 + 20 + 25x = 180 + 20

Combine like terms: -20 + 20 = 0

0 + 25x = 180 + 20

25x = 180 + 20

Combine like terms: 180 + 20 = 200

25x = 200

Divide each side by '25'.

x = 8

8 0
3 years ago
Read 2 more answers
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