Calculate the number of edges on a truncated icosidodecahedron

Nina walked 15 yards to Paul's house. They then went hiking. Which rule shows how many yards Nina walks for every yard Paul walk

denis-greek [22]

N= x+15 where n = nina, x = the amount hiked together and the 15 is how much she already walked.

4 0

3 years ago

Read 2 more answers

Solve the following system using the substitution, elimination, or graphing method for the x coordinate:

igomit [66]

Hey there!

To solve this system of equations, you will need to get one of the terms in both equations to cancel out to zero. If there isn't a term that you can cancel out, you can multiply either or both equations to make that term. There's no wrong way to do this, just as long as you make sure that you double check whether your should add or subtract. This is easier shown than explained, so refer below:

<span> x + y = +1
5x + y = –6

</span>–1(x + y = +1)
5x + y = –6

–x – y = –1
5x + y = –6

You can see that once we combine these equations by adding, the y term will become 0, eliminating it. This is necessary for solving the system, so make sure you do it. Also, remember to distribute the term that you need to to all of the numbers in the equation! After that, just solve for the variable that's still in the equation.

–x – y = –1
+ 5x + y = –6

4x + 0y = –7
4x = –7
x = –1.75

Now, just plug the value we found for x into either one of your equations in the original system as it's presented in your problem.

x + y = 1
–1.75 + y = 1
+1.75 +1.75

y = 2.75

All that's left to do is check your point (–1.75, 2.75). If it's true for both equations, your answer is correct!

–1.75 + 2.75 = 1
<span>5(–1.75) + 2.75 = –6

</span>(–1.75, 2.75) is the solution to your system.

Hope this helped you out! :-)

3 0

3 years ago

If Janice works overtime, she receives an hourly rate of 1½ times her regular hourly rate of $14.00 an hour. What is her overtim

ankoles [38]

$21.00 per hour. $14.00 * 1.5 = $21.00

6 0

3 years ago

Which expression is equivalent to 15 n=10 (n+3/n)?

Karolina [17]

Answer:

±√6

Step-by-step explanation:

$15n=10(n+\frac{3}{n} )$ is your expression first muiltiply out the 10 to get 15n= 10n+10 3/n next subtract 10 n from both sides to get 5n=10+3/n multiply both sides by n to get 5n^2=13 combine both sides and use the quadratic equation to solve to get your solution of ±√6