Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!
Answer:
x=40
Step-by-step explanation:
Both angles are equal. So the equation needs to equal 156.
Just plug in points for x until the answer is 156.
In this case, when we plug in 40, it works!

Answer:
6 and 5 over 6
6 5/6
Step-by-step explanation:
it would be a mixed fraction because 6 can't go into 41 evenly
Answer:
hey, hope this helps :)
Step-by-step explanation:
1. Matter changes state because of physical pressure and temperature; properties do not change.
heating gives molecules energy that causes them to vibrate faster, breaking their bonds and melting.
3. Heat energy that helps break the molecular bonds of a solid is heat of fusion
4. The temperature at which a liquid turns into a gas is the boiling point.
5. sublimation is when a solid turns straight into a gas.