a) 841
b) 106
c) 3 051
To illustrate numbers using base 10 blocks, you need to understand the place values and represent each digit using the appropriate base 10 block.
To illustrate numbers using base 10 blocks, we need to understand that each number is made up of different place values—ones, tens, hundreds, and so on. A base 10 block for the number 841 would consist of 8 hundreds blocks, 4 tens blocks, and 1 ones block. For the number 106, we would have 1 hundreds block, 0 tens blocks, and 6 ones blocks. Lastly, for the number 3,051, we would have 3 thousands blocks, 0 hundreds blocks, 5 tens blocks, and 1 ones block.
commutative - addition
inverse - addition
associative - multiplication
symmetric
commutative - multiplication
associative - addition
inverse - multiplication
Answer:
G: Inverse multiplication
Step-by-step explanation:
Statement is 2•1/2=1
Now, what this means is that when we multiply a number by it's inverse form, the result will be 1.
This means that this statement denotes an inverse multiplication.
Thus, the last option is the correct answer
Hence, x=-2 and y=4 are the answers to the system of equations.
For the purpose of connecting algebra and geometry with the aid of line and curve graphs, coordinate geometry is necessary. Finding points on a plane is a crucial component of mathematics. It also has a number of uses in other scientific fields such dimensional geometry, calculus, and trigonometry. Use y=-2x in place of x in the first equation:
5x - 9(-2x) = -46
Simplify and find x's value:
5x + 18x = -46
23x = -46
x = -2
We can use the second equation to get y now that we know the value of x:
y = -2x = -2(-2) = 4
Learn more about coordinate geometry here:
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Answer:To find out how long it will take for the two trains to meet, you can use the concept of relative speed. When two objects are moving toward each other, their relative speed is the sum of their individual speeds.
In this case, one train is traveling at 85 miles per hour, and the other is traveling at 95 miles per hour. So, their relative speed is:
Relative Speed = 85 mph + 95 mph = 180 mph
Now that you know the relative speed of the two trains, you can use the formula:
Time = Distance / Speed
The distance they need to cover to meet is 288 miles, and their relative speed is 180 mph. Plug these values into the formula:
Time = 288 miles / 180 mph
Time = 1.6 hours
So, it will take 1.6 hours for the two trains to meet. To express this in minutes, you can multiply by 60:
1.6 hours * 60 minutes/hour = 96 minutes
Therefore, it will take 96 minutes for the two trains to meet.
Step-by-step explanation:
B) 12
C) 4
D) 6