Answer:

Step-by-step explanation:
Given


Required

Since the events are mutually exclusive, then:

So, we have:

Take LCM



Answer:
1 1/3 meter a minute
Step-by-step explanation:
it pretty simple i just added
Answer:
x = 1
Step-by-step explanation:
We know that the two angles must be equal to each other. So:
65x - 12 = 43x + 10
First add 12 to both sides:
65x - 12 + 12 = 43x + 10 + 12
65x = 43x + 22
Then subtract 43x from both sides:
65x - 43x = 43x - 43x + 22
22x = 22
x = 1
Answer: $7.58/2=$3.79
Step-by-step explanation:
A) The constant of proportionality in this proportional relationship is 
B) The equation to represent this proportional relationship is y = 0.2x
<em><u>Solution:</u></em>
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:

Last month, she paid $3.20 for 16 international texts
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