To find out how much area he will paint, you will find the area of all 6 faces.
Each face is in the shape of a rectangle, so use A = lw as your formula.
Front/Back: 80 x 36 = 2880 square inches
2880 square inches x 2 = 5760 square inches
Right/Left Sides: 80 x 2 = 160 square inches
160 square inches x 2 = 320 square inches
Top/Bottom: 36 x 2 = 72 square inches
72 square inches x 2 = 144 square inches
5760 + 320 + 144 = 6224 square inches.
Cody will paint 6224 square inches.
Answer: 12 = x + 4
Step-by-step explanation:
We know that the length of the green line is 12.
And the length of the black line will be equal to the sum of the lengths of the two smaller segments, x, and 4
Then the length of the black line is x + 4
We want to write an equation that says that the length of the green line is equal to the length of the black line, this is:
Length of green line = Length of black line
12 = x + 4
That is the equation we wanted.
Now we could solve it if we subtract 4 in both sides of the equation:
12 - 4 = (x + 4) - 4
8 = x
The answer for this question is chord
Answer:
Step-by-step explanation:
There are no given values, therefore we can't determine a definite answer. However, we are able to simplify the expression.
As we all know that any variable or number to the power of 0 is equal to 1. This means that 
.
We also know that a negative power can bring the variable down and make it a fraction. This means that 
Now that we got these two sorted we are able to write it in a simplified form.
Answer:
With the given information, we can create several equations:
120 = 12x + 2y
150 = 10x + 10y
With x being the number of rose bushes, and y being the number of gardenias.
To find the values of the variables, we can use two methods: Substitution or Elimination
For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:
We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:
-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative
Multiply out:
-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y
Now we can solve for y:
y = 6
With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:
120 = 12x + 2y => 120 = 12x + 2(6)
Now we can solve for x:
120 = 12x + 12 => 108 = 12x
x = 9
So now we know that x = 9, and y = 6.
With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.
