Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
So the division property states that if both sides of an equation are equal and whenever you divide both sides of that equation by the same number they should stay equal. Example
12=12 right? so if I divide both 12 and 12 by 3 I should get 3=3
We use this to solve for variable such as x
So new example lets take
5x=25
Since both sides are equal I can divide by the same number and should get an equal number right? So lets divide by 5 on both sides. 5x divided by 5 equals x and 25 divided by 5 equals 5 so my new equation is
x equals 5 or x=5.
If I plug my x=5 back into the equation they should be equal so lets see...
5(5)=25
25=25
And it checks out :)
Answer:
$10
Step-by-step explanation:
Let a = the amount Angela has saved.
Let e = the amount Eli has saved.
"Eli has saved $8 more than 1/3 of Angela's savings."
e = a/3 + 8
"If they each save $10 more." then
Eli will have: e + 10
Angela will have a + 10
"Eli will have saved $4 more than Angela's savings."
e + 10 = a + 10 + 4
This equation simplifies to: e = a + 4
We have a system of two equations in two variables.
e = a/3 + 8
e = a + 4
Since both equations are solved for e, we just equate the right sides.
a/3 + 8 = a + 4
Subtract a/3 from both sides. Subtract 4 from both sides.
a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4
4 = (2/3)a
Multiply both sides by 3/2
(3/2)4 = (3/2)(2/3)a
6 = a
a = 6
Angela has $6.
e = a + 4 = 6 + 4 = 10
Eli has $10.
Answer: If the center of rotation is changed, the pentagon maps back onto itself only one time, when the value of a is 360 degrees that is, when the pentagon completes a full rotation. (just a heads up if your going to copy and paste, change it up a bit because this is word for word :) hope it helped!)
The number of colors on the page, it’s doesn’t specify the number.
