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umka21 [38]
3 years ago
6

A recent study claimed that in any given month, for every 5 text messages a boy sent or received, a girl sent or received 7 text

messages. Is the relationship between the number of text messages set or received by boys proportional to the number of texts sent or received by girls.
Is it proportional?
Mathematics
2 answers:
Alona [7]3 years ago
7 0

Answer:

Yes, it is a proportional relation.

Step-by-step explanation:

Given,

5 text messages a boy sent or received = 7 text messages a girl sent or received,

⇒ 1 text message of a boy = \frac{7}{5} text messages of a girl,

So, x text messages of a boy = \frac{7x}{5} text messages of a girl,

Let y represents the text messages of a girl for the x text messages of a boy,

\implies y = \frac{7}{5}x

Which is a line,

∵ At (0,0),

0=\frac{7}{5}(0)  ( True ),

Thus, line y = \frac{7}{5}x passes through the origin,

Hence,

y = \frac{7}{5}x shows a proportional relation.

morpeh [17]3 years ago
5 0
I believe so! The number of texts sent or received by boys is proportional to the number of texts sent or received by girls! Have a nice day!
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<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%20%5Cfrac%7B1%7D%7B2%7D%20ab
Zigmanuir [339]

Answer:

\frac{1}{2} (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

\frac{1}{2} a² + \frac{1}{2} ab - b² ← factor out \frac{1}{2} from each term

= \frac{1}{2} (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

\frac{1}{2} a² + \frac{1}{2} ab - b² = \frac{1}{2}(a + 2b)(a - b)

5 0
3 years ago
In a bag full of small marbles, 1/4 of the marbles are green 1/8 of the marbles are blue and 1/12 of the marbles are
Alik [6]

Step-by-step explanation:

white=26

1/4+1/8+1/12=6/24+3/24+2/24=11/24=(green,blue and yellow marbles)

24-11=13/24=white

26/13=2=1/24

blue=3/24

2.3=6

answer 6

8 0
3 years ago
Can someone please help me please I really need help please answer it correctly
kvv77 [185]

Answer:

<h3>Princeton Florist</h3>

Let the total charge is y, the number of small arrangements is x.

<u>Total charge will be:</u>

  • y = 13x + 47
<h3>Chad's Flowers</h3>

<u>Total charge will be:</u>

  • y = 17x + 35

<u>Since the total charge is same in both shops, we have:</u>

  • 13x + 47 = 17x + 35

<u>Solve for x:</u>

  • 17x - 13x = 47 - 35
  • 4x = 12
  • x = 3

<u>Total cost is:</u>

  • 13*3 + 47 = 39 + 47 = 86

<u>Small arrangements</u> = 3, <u>cost </u>= $86

7 0
3 years ago
Please I really need help I will mark you as brainliest!
inna [77]

Answer:

∠ XYZ ≈ 72.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanXYZ = \frac{opposite}{adjacent} = \frac{XZ}{XY} = \frac{13}{4} , thus

XYZ = tan^{-1} (\frac{13}{4} ) ≈ 72.9°  to 1 dec. place )

4 0
4 years ago
What is wrong with the following equation: 4 + (10 / 5) = 6 - 2
ra1l [238]
This equation says that 6 = 4, which is incorrect. However, if there was no - 2 on the right side of the equation the answer would be correct as 6 = 6
8 0
4 years ago
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