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svetoff [14.1K]
3 years ago
13

Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages

than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?
Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

9514 1404 393

Answer:

  • Keiko: 17
  • Chang: 24
  • Abdul: 68

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

  c + (c -7) +4(c -7) = 109

  6c -35 = 109 . . . . . . . . . . simplify

  6c = 144 . . . . . . . . . . . add 35

  c = 24 . . . . . . . . . . . divide by 6

  c-7 = 17

  4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.

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DESPERATELY NEED HELP
In-s [12.5K]

Remark

You must use the sin law to find this.


\dfrac{Sin(75)}{22} = \dfrac{Sin(x)}{12}

Multiply through by 12

12 * \dfrac{Sin(75)}{22} = \dfrac{Sin(x)}{12} *12


\dfrac{12*sin(75)}{22} = \text{sin(x)}

0.5269 = sin(x)


Now you have to use the inverse of the sine function.

Use your calculator for that

2nd F

sin-1

(0.5269)

= 31.79 degrees. <<<<<< Answer.


There sometimes is a second answer. I don't think there is in this case.


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3 years ago
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