Answer: The answer would be 3z! Good luck!
Step-by-step explanation: Subract z from 4z, basically turn the equation to 4z - 1z, then put the variable (z) to the side and subtract 1 from 4. Once you're
done with that bring your variables back and you have 3z!
Area of the three equally sized stripes: A
A=(x+15)(x)(3)
A=3x(x+15)
A=3x^2+45x
One gallon of paint will cover an area of no more than 400 square feet: <=400
She only has half of a gallon of paint left:
1/2(400 square feet)=400/2=200 square feet
Inequality that could be used to find the maximum height, in feet, of each stripe:
A<=200
3x^2+45x<=200
Answer: 3x^2+45x <= 200
Could her stripes be 3' tall?
x=3→A=3(3)^2+45(3)=3(9)+135=27+135→A=162<200 Ok
Yes, her stripes could be 3' tall.
Answer: Yes
Could her stripes be 4' tall?
x=4→A=3(4)^2+45(4)=3(16)+180=48+180→A=228>200 No
No, her stripes couldn't be 4' tall.
Answer: No
Answer:
When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5
That is 4x+7z-x+5-(4z)=3(x+z)+5
Step-by-step explanation:
Given expression is 4x+7z-x+5-(4z)
To combining the given expression to solve it as below :
4x+7z-x+5-(4z)
=4x+7z-x+5-4z
=4x-x+7z-4z+5 ( combining the like terms of x and z )
=3x+3z+5 ( here adding the like terms )
=3(x+z)+5 ( taking the common factor )
Therefore 4x+7z-x+5-(4z)=3(x+z)+5
When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5
That is 4x+7z-x+5-(4z)=3(x+z)+5
Answer:
Step-by-step explanation:
Find the area of each shape, then multiply by 20, then round to nearest hundred.
Half circle:
=πr²/2
=50π
=157.08
Large square:
=L•w
=20(22)
=440
Small square:
=L(w)
=12(3)
=36
Triangle:
=b(h)/2
=8(3)/2
=12
Btu req:
=(157.08+440+36+12)(20)
=(645.08)(20)
=12901.6
=12900 BTU
