Part A: 85x, 15y.
Part B: There are 2 terms because he has two jobs only.
Part C the term is 15y
Answer:
0.15x=x-30
Step-by-step explanation:
Let
x-----> the regular price
we know that
15%=15/100=0.15
so
0.15x=30
x=30/0.15=$200
<em>Verify each case</em>
case a) 0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
case b) 0.85x=x-30
x-0.85x=30
0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
case c) 0.15x=x-30
x-0.15x=30
0.85x=30
x=30/0.85=$35.29
therefore
The equation could not be used to determine x
case d) x-0.15x=x-30
-0.15x=-30
0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
Answer:
143 inches
Step-by-step explanation:
Let the triangle be
inches long.
Then the perimeter of the equilateral triangle will be
inches.
Let the length of the square also be
inches.
Then the perimeter is ![4l](https://tex.z-dn.net/?f=4l)
It was given that the perimeter of the equilateral triangle is 77 inches more than the perimeter of the square.
So we can write the relation
![3s=4l+77](https://tex.z-dn.net/?f=3s%3D4l%2B77)
![\Rightarrow 3s-4l=77..eqn1](https://tex.z-dn.net/?f=%5CRightarrow%203s-4l%3D77..eqn1)
Also, the side of the triangle is 55 inches longer than the side of the square.
So we write
or ![l=s-55...eqn2](https://tex.z-dn.net/?f=l%3Ds-55...eqn2)
We put equation (2) into equation (1) to get;
![3s-4(s-55)=77](https://tex.z-dn.net/?f=3s-4%28s-55%29%3D77)
We expand the bracket to get;
![3s-4s+220=77](https://tex.z-dn.net/?f=3s-4s%2B220%3D77)
![3s-4s=77-220](https://tex.z-dn.net/?f=3s-4s%3D77-220)
![-s=-143](https://tex.z-dn.net/?f=-s%3D-143)
![s=143](https://tex.z-dn.net/?f=s%3D143)
Hence the triangle is 143 inches long.
2(-n-3)-7(5+2m)
First use the distributive property on both terms:
-2n-6 -35 -14m
Subtract 35 from -6:
-2n - 41 - 14m
Now reorder to get:
-14m -2n - 41
Equilateral triangle<span> is a </span>triangle<span> in which all three sides are equal
</span>also 3 angles are equal and each angle = 60 degrees
so
2x - 4 = 60
2x = 64
x = 32
hope it helps