Answer:
B. The Kremlin is a fortress and symbol of power, C. Orthodox Christianity became the official religion.
Step-by-step explanation:
Ivan the Terrible consolidated the Grand Duchy of Moscow, which gained total independence from Mongols. The Kremlin is a military and seat of the Tsar and the Russian Ortodox Christianity, which became the official religion of Russia until 1917.
The Russian peasants had less freedom than most European peasants, since rural economy was predominant and feudal institutions remained until Modern Age.
Ivan III accepted the Byzantine influence during his reign.
How much trash did Will's group collect on Sunday?
A.
3.0 pounds
B.
12.5 pounds
C.
15.5 pounds
D.
27.3 pounds
Study the Problem
What is the cost of the wallpaper (in dollars per square foot)?
Organize the Facts
The wallpaper covers a rectangle 42 ft by 25.5 ft. It costs $771.12 for that area.
Make a Plan
To find dollars per square foot, we need to divide the dollar amount by the area in square feet. The area needs to be computed. It is the area of a rectangle, so can be found by multiplying length and width.
Plan: multiply length and width of the wall to find its area; divide the cost by that area to find dollars per square foot.
Execute the Plan
area = (42 ft)×(25.5 ft) = 1071 ft²
cost/area = $771.12/(1071 ft²) = $0.72/ft²
Examine the Results
The area is on the order of 40×25 = 1000 ft², and the cost is less than $1000, so the cost will be less than $1 per square foot. The answer is in the right ballpark. If we multiply it out, we should get the given cost:
... 0.72×42×25.5 = 771.12 . . . . agrees with given cost.
The cost of the wallpaper is $0.72 per square foot.
How the equation becomes true is given below.
Step-by-step explanation:
In an equation with one variable, the variable has a solution, or value, that makes the equation true.
For example, the assertion that “two plus five equals seven” is represented by the equation 2+5=7.
In many cases, an equation contains one or more variables. These are still written by placing each expression on either side of an equals sign (=). For example, the equation x+3=5, read “x plus three equals five”, asserts that the expression x+3 is equal to the value 5.
When an equation contains a variable such as x, this variable is considered an unknown value. In many cases, we can find the possible values for x that would make the equation true. For example, consider the equation we were talking about above: x+3=5. You have probably already guessed that the only possible value of x is 2, because you know that 2+3=5 is a true equation. We use an equals sign to show that we know the value of a given variable. In this case, we write x=2 (read as “x equals two”).
The values of the variables that make an equation true are called the solutions of the equation. In turn, solving an equation means determining what values for the variables make the equation a true statement.
The equation above was fairly straightforward; it was easy for us to identify the solution as x=2
.