A) The constant of proportionality in this proportional relationship is 
B) The equation to represent this proportional relationship is y = 0.2x
<h3><u>Solution:</u></h3>
Given that,
The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month
Therefore,
This is a direct variation proportion

Let "y" be the amount that Naomi pays each month
Let "x" be the number of international texts she sends that month
Therefore,

y = kx -------- eqn 1
Where, "k" is the constant of proportionality
Thus the constant of proportionality in this proportional relationship is:

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>
Therefore,
y = 3.20
x = 16
Thus from eqn 1,

Substitute k = 0.2 in eqn 1
y = 0.2x
The equation would then be y = 0.2x
Diagonal of a cube formula: D=a√3 [a=side length]
D = 5√3 ≈ 8.7 cm.
1 Subtract 22 from both sides
13x=4x+38-213x=4x+38−2
2 Simplify 4x+38-24x+38−2 to 4x+364x+36
13x=4x+3613x=4x+36
3 Subtract 4x4x from both sides
13x-4x=3613x−4x=36
4 Simplify 13x-4x13x−4x to 9x9x
9x=369x=36
5 Divide both sides by 99
x=\frac{36}{9}x=
9
36
6 Simplify \frac{36}{9}
9
36
to 44
x=4x=4
<em> 195 yards²</em>
- Step-by-step explanation:
<em><u>Area of rhombus (formula)</u></em>
<em>A = (d₁ₓd₂)/2</em>
<em>d₁ = 2ₓ7,5yd = 15 yd</em>
<em>d₂ = 2ₓ13yd = 26 yd</em>
<em>A = (15ydₓ26yd)/2</em>
<em>= 15ydₓ13yd</em>
<em>= 195 yards²</em>
Answer:
9
Step-by-step explanation:
3/8 of 24 is 9