Answer and explanation:
<h2>X</h2>
3x + 6y = 180 <em>Use the original expression to find x</em>
3x = 180 - 6y <em>Subtract 6y by both sides</em>
<em>Divide by 3 to get x</em>
x = 60 - 3y
<h2>Y</h2>
x = 60 - 3y <em>Use the new expression to find y</em>
x - 60 = - 3y <em>Subtract 60 by both sides</em>
<em>Divide by -3 to get y</em>
Answer:
65x + y = 60
Step-by-step explanation:
hope it will help you
Answer: z =
Step-by-step explanation:
To find <em>z</em>, you must set up a proportion to solve.
To find the altitude of a special right triangle, the formula is:
You can use <em>5</em> as <em>a</em> and <em>2</em> as <em>b</em> to complete the proportion:
Next, to solve:
<u>Step 1</u>: Cross-multiply.
(5)*(2) = z*z
10 = z²
<u>Step 2</u>: Take square root.
10 = z²
√10 = z
I hope this helps!
Answer:
at least 450 minutes
Step-by-step explanation:
Find an expression for the cost of each plan as a function of the number of minutes. Set the expressions equal to each other, and solve for the number of minutes.
Let x = number of minutes.
First plan:
cost (in dollars) = 0.21x
Second plan:
cost (in dollars) = 0.11x + 44.95
Set the expressions equal:
0.21x = 0.11x + 44.95
Subtract 0.11x from both sides.
0.1x = 44.95
Divide both sides by 0.1
x = 44.95/0.1
x = 449.5
Since you cannot have a fraction of a minute, the answer is 450 minutes.
We define the probability of a particular event occurring as:
What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are <em>independent</em>, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for <em>each </em>of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.
Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:
(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5
So, we have
probability of rolling at least one 5.