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Marina86 [1]
3 years ago
12

Danielle's text messaging plan costs $14 for the first 500 messages and 10¢ for each additional text message. If she owes $27.70

for text messaging in the month of September, how many text messages did she send that month?
Mathematics
1 answer:
sasho [114]3 years ago
4 0

27.7-14=Cost above 500 msg

13.7=C

E=number of Extra messages sent

C=0.1E

13.7/0.1=E

137=E

Total messages=T

T=500+E

T=500+137

T=637

Danielle sent 637 messages in September

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Write the quadratic equation in general form. (x - 3)^ 2 = 0
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The answer is:  x² – 6x + 9 = 0  .
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Explanation:
________________________________________________________

Given:  (x – 3)² = 0 ;  write as: general form:  "ax² + bx + c = 0";  a ≠ 0 .
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Note:  </span>(x – 3)² = (x – 3)(x – 3) = x² – 3x – 3x + 9 = x² – 6x + 9 ;
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X
12345 [234]

Answer: 28.35\ minutes

Step-by-step explanation:

Let be "x" the time in minutes a 150-pound person must walk at  4 mph to use at least 190 calories.

 The amount of calories that a 150-pound person uses  in 1 minute when walking at a speed of 4 mph is:

Calories\ per\ minute=6.7

Therefore, knowing this, we can write the following proportion:

\frac{1}{6.7}=\frac{x}{190}

Finally, we must solve for "x" in order to find its value.

Multiplying both sides of the equation by 190, we get this result:

(190)(\frac{1}{6.7})=(\frac{x}{190})(190)\\\\x=28.35

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