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Viefleur [7K]
3 years ago
5

Melissa, Ryan, and Chau sent 122 text messages. Chau sent 3 times as many as Ryan. Ryan sent 7 fewer then Melissa. How many mess

ages did they each send
Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

  • Melissa: 30
  • Ryan: 23
  • Chau: 69

Step-by-step explanation:

Let r represent the number of messages Ryan sent. Then Chau sent 3r and Melissa sent r+7. Their total was ...

  (r+7) +(r) +(3r) = 122

  5r +7 = 122 . . . . . collect terms

  5r = 115 . . . . . . . . subtract 7

  r = 23 . . . . . . . . . . divide by 5

Ryan sent 23, Melissa sent 30, and Chau sent 69 text messages.

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Iteru [2.4K]

Step-by-step explanation:

Given : m∥n , ∠1= 50° , ∠2= 48° , and line s bisects ∠ABC

To prove = ∠3= 49°

Solution:

In figure, m∥n cut by traversal t.

So,  ∠DEF = ∠ABC(alternative exterior angles)

∠1 + ∠2 = ∠4 + ∠5

∠ABC = ∠1 + ∠2 = 50° + 48° = 98°

Also given that s bisect angles ∠ABC.

∠4 = ∠5

∠ABC = ∠4 + ∠5 = 98°

∠4 + ∠4 = 98°

2∠4 = 98°

∠4 = 49°

∠4= ∠3 = 49° (vertically opposite angles)

∠3 = 49° ,hence proved

5 0
3 years ago
What is 400g at 25p per kg
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400g=.4kg
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6 0
4 years ago
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Blababa [14]
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3 0
4 years ago
Given () = −^3 + 2^2 +(3/2) be the position of a particle moving along the x-axis at time t. At what time will the instantaneous
cestrela7 [59]

Answer:

5.266 secs

Step-by-step explanation:

Lets assume ; p(t) = t^-3 + 2^2 + ( 3/2 ) is the particle position along x-axis

time interval [ 0, 4 ]

Average velocity = Displacement / time

                            = p( b ) - p( a ) /  b - a -------- ( 1 )

where a = 0 , b = 4 ( time intervals )

Back to equation 1

Average velocity = [ ( 4^-3 + 4 + (3/2) ) - ( 0 +  4 + (3/2) ) ] / 4

                             = 3.9 * 10^-3 ----- ( 2 )

Instantaneous velocity = d/dx p(t)

                                      = - 3/t^4  ------ ( 3 )

To determine the time that the instanteous velocity = average velocity

equate equations (2) and (3)

3.9*10^-3 = - 3 / t^4

t^4 = - 3 / ( 3.9 * 10^-3 ) = - 769.231

hence t = \sqrt[4]{- 769.231 } = 5.266 secs

we ignore the negative sign because time can not be in the negative

4 0
3 years ago
Which mixed number is greater than 3.62?<br> 3 1/6<br> 3 3/4<br> 3 4/7<br> 3 6/11
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7 0
4 years ago
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