Answer:
x = 6
Step-by-step explanation:
move all terms to the left:
-1.5x+12-(2.5x-12)=0
get rid of parentheses
-1.5x-2.5x+12+12=0
add all the numbers together, and all the variable.
-4x+24=0
move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4 - divide
x=+6
Answer:
a. 
b. His teacher will receive more pencils (See explanation).
Step-by-step explanation:
a. The total number of pencils Louis brings to school is:
Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.
Notice that the remainder obtained is: 
.
<em>This means that Louis’s teacher will receive 4 pencils.</em>
b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.
So the equation you're going to be using is mass = density x volume
So the volume of your block is 35cm^3, and your density is .85g/ml
so your equation would be
mass=.85g/ml x 35cm^3
your final answer is 29.75g/cm^3
Hope this helps :)
Let each side=x
Use pythagorus
As height at mid of other side
Then: 32=sqrt(X^2-X^2/4)
Therefore X=36.950
They met 480 meters from the house.
<h3><u>Calculus</u></h3>
Given that Noah and his grandfather were returning home from a walk, and when they were 800 m away from the house, the grandfather said that he was thirsty, so Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace, to determine how many meters from the house did they meet if noah ran four times as fast as his grandfather walked, the following calculation must be made:
- 200 x 4 = 800 - 200 = 600
- 300 x 4 = 1200 - 800 - (800 - 300) = 100
- 325 x 4 = 1300 - 800 - (800 - 325) = -25
- 320 x 4 = 1280 - 800 - (800 - 320) = 480 - 480 = 0
Therefore, they met 480 meters from the house.
Learn more about calculus in brainly.com/question/26453068
