Answer:
a = (r/x) -b
x = -14
Step-by-step explanation:
r=x(a+b)
Divide each side by x
r/x = a+b
Subtract b
r/x -b = a
x/2=-7
Multiply each side by 2
x/2*2 = -7*2
x = -14
The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp.
<h3>How to form an equation?</h3>
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given, the cost of the camp program
$338 → 12 days
And,
$506 → 19 days
Slope = (506-338)/(19-12)
Slope = 24
So, the cost per day will be 24
So equation will be
y = 24x
Now,
The charge is for 30 days ⇒
y = 24 (30)
y = $720
And
Number of days of camp could someone attend with a budget of $530⇒
530 = 24x
x = 22.08
Since day could not be a decimal quantity so it will be 22.
Hence "The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp".
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The answer should be 23. Not sure if you have multiple choices, or have to show the work, but 23 is the answer.
Answer:
(b) 
Step-by-step explanation:
When two p and q events are independent then, by definition:
P (p and q) = P (p) * P (q)
Then, if q and r are independent events then:
P(q and r) = P(q)*P(r) = 1/4*1/5
P(q and r) = 1/20
P(q and r) = 0.05
In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.
In the first ballot box there are 9 balls, 3 white and 6 yellow.
Then the probability of obtaining a white ball from the first ballot box is:
In the second ballot box there are 10 balls, 7 white and 3 yellow.
Then the probability of obtaining a white ball from the second ballot box is:
We want to know the probability of obtaining a white ball in both urns. This is: P(
and 
)
As the events are independent:
P( and ) = P () * P ()
P( and ) = 
P( and ) =
Finally the correct option is (b)
Volume of a cone is equal to pi*r^2*(h/3)
3.14*5^2*2/3 = 52.36 cubic cm.
Density = mass/volume
6 grams/ 52.36 cm^3= 0.1146
Round to 2 decimal places to get D.0.11 g/cm^3
