Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
1) 
2) 
3)
Answer:
2x^2
Step-by-step explanation:
If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.
Let, number of solid color gift sold is x and printed gift wrap is y.
Also, number of printed paper sold , 325.
Expressing, it in mathematical equation :
y = 325 ....... 1)
Also, The band needs to earn $2,500 for an upcoming competition.
So ,
3.5x + 5y = 2500 ....... 2)
Solving equation 1 and 2 :
3.5x + 5(325) = 2500
3.5x = 2500 - 1625
3.5x = 875
x = 250
Therefore, number of solid paper they must sell is 250.
Hence, this is the required solution.
I think it is either 4.41 or 1.84 Sq Ft
Answer:
The amount by which the sugar canister is smaller than the flour canister is 136 in³
Step-by-step explanation:
The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches
(5 and 1/2 = (5 1/2))
(3 and 1/2 = (3 1/2))
The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches
The volume of the rectangular prism = Length × Width × Height
∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³
The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³
The difference in volume between the flour canister and the sugar canister is given as follows;
220 in.³ - 84 in.³ = 136 in.³
The amount by which the sugar canister is smaller than the flour canister = 136 in.³.