Answer:
The solution is 8x2 + 16x + 8. The region can be divided into a triangle and a rectangle.
Area of Triangle=
1
2
(2x + 2)(2x)
Area of Triangle = 2x2 + 2x
Area of Rectangle: (2x + 2)(3x + 4)
Area of Rectangle: 6x2 + 14x + 8
Sum of Two Regions: 8x2 + 16x + 8
Step-by-step explanation:
Answer:
1.5 squares
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6(x−1)=−2x+50
(6)(x)+(6)(−1)=−2x+50(Distribute)
6x+−6=−2x+50
6x−6=−2x+50
Step 2: Add 2x to both sides.
6x−6+2x=−2x+50+2x
8x−6=50
Step 3: Add 6 to both sides.
8x−6+6=50+6
8x=56
Step 4: Divide both sides by 8.
8x
/8
=
56
/8
x=7
Answer: 76 Sodas and 40 hot dogs
Step-by-step explanation:
Let S and H represent the numbers of Sodas and Hot dogs.
We are told that:
S + H = 116
We also see that:
H = S - 36
==
Take the second equation's value for H (S - 36) and use it in the first:
S + H = 116
S + (S-36) = 116
2S = 152
S = 76
and therefore H = S - 36, or 40.
76 + 40 = 116 [Checks]
76 Sodas and 40 hot dogs
Stack the numbers on top of each other so the decimals are lined up. Get rid of the decimals and then multiply. Put the decimal point back in directly under where it was before